when changes in one variable tend to be accompanied by specific changesin another, the two variables are said to .

Answers

Answer 1

The two variables are said to have a correlation.

Correlation is a statistical measure of the relationship between two variables. When two variables are correlated, changes in one will be associated with changes in the other. For example, as the temperature increases, ice cream sales will also increase.

The correlation coefficient is a measure of the strength of the relationship between two variables. If the coefficient is close to +1, there is a strong positive correlation.

This means that as one variable increases, the other also increases. If the coefficient is close to -1, there is a strong negative correlation. This means that as one variable increases, the other decreases. If the coefficient is close to zero, the variables are said to have no correlation.

Correlation does not necessarily imply causation. It only indicates that two variables are related and does not necessarily explain why.

For example, two variables can be correlated because of a third variable. Therefore, correlation does not always indicate a causal relationship between two variables.

To know more about correlation click on below link:

https://brainly.com/question/30116167#

#SPJ11


Related Questions

The length in inches of each side of a square is given by the expression x 2 . the area of the square can be represented by (x 2)2−16=0 when the area is 16 square inches. what is the value of x?

Answers

The value of x is 2 inches.

We are given that the area of the square is 16 square inches and can be represented by the expression,

(x+2)^2 - 16 = 0

We can simplify this equation by expanding the square,

x^2 + 4x + 4 - 16 = 0

x^2 + 4x - 12 = 0

Now we can use the quadratic formula to solve for x

x = (-b ± sqrt(b^2 - 4ac)) / 2a

Where a = 1, b = 4, and c = -12.

Plugging in these values, we get

x = (-4 ± sqrt(4^2 - 4(1)(-12))) / 2(1)

x = (-4 ± sqrt(16 + 48)) / 2

x = (-4 ± sqrt(64)) / 2

x = (-4 ± 8) / 2

We get two solutions,

x = (-4 + 8) / 2 = 2

x = (-4 - 8) / 2 = -6

Since we are dealing with the length of a side of a square, we can eliminate the negative solution and conclude that the value of x is 2 inches.

Learn more about area here

brainly.com/question/27934373

#SPJ4

The given question is incomplete, the complete question is:

The length in inches of each side of a square is given by the expression x + 2 . the area of the square can be represented by (x+2)^2−16=0 when the area is 16 square inches. what is the value of x?

What is the exact area of a circle with a diameter of 12 feet?
367 square feet
817 square feet
324л square feet
1296л square feet

Answers

The exact value of the circle is 36π square feet. Option A

How to determine the area

The formula used for calculating the area of a given circle is expressed with the equation;

A = π(d/2)^2

A = πr²

Such that the parameters are;

A is the area of the circle.π is a constant value of 3.14 r is the radius of the circled is the diameter of the circle

The formula for radius is given as;

radius = diameter/2

divide the values

radius = 6 feet

Substitute the values

Area = 3.14 ×6²

multiply the values

Area = 36π square feet

Learn about area at: https://brainly.com/question/25292087

#SPJ1

based solely on statistical probability from demographic studies, which individual has the greatest likelihood of being a smoker?

Answers

Based solely on statistical probability from demographic studies, the individual who has the greatest likelihood of being a smoker is a male aged between 18 to 24 years old.

According to demographic studies, men are more likely to smoke than women. Besides, the smoking rate increases with age, which means individuals aged between 18 to 24 have a higher likelihood of being a smoker than people of other ages.

Therefore, based solely on statistical probability from demographic studies, a male aged between 18 to 24 years old has the greatest likelihood of being a smoker.

It is important to note that statistical probability from demographic studies only shows what is likely or probable to happen but does not guarantee the actual occurrence of the event.

To learn more about statistical probability refer :

https://brainly.com/question/30448884

#SPJ11

at 99% confidence, how large a sample should be taken to obtain a margin of error of for the estimation of a population proportion? assume that past data are not available for developing a planning value for . round up to the next whole number.

Answers

To estimate a population proportion with a margin of error of 1% and a 99% confidence interval, we would need a sample size of at least 6644 individuals.

The formula to calculate the sample size is:

n = [z² x p(1-p)] / e²

where:

n is the sample size

z is the z-score corresponding to the desired confidence level (in this case, 2.576 for a 99% confidence level)

p is the planning value for the population proportion, which we don't know in this case, so we will assume the worst-case scenario of p=0.5 (which gives us the maximum sample size needed)

e is the desired margin of error

Plugging in the values, we get:

n = [(2.576)² x 0.5(1-0.5)] / (0.01)²

n = 6643.04

Since we need to round up to the next whole number, the minimum sample size needed is 6644.

To know more about confidence interval here

https://brainly.com/question/24131141

#SPJ4

A strain of Mycobacterium tuberculosis that is deficient in nonhomologous end joining repair should be more sensitive to damage by
X raysUV radiationGlycosylaseDepurination

Answers

Explanation:

A strain of Mycobacterium tuberculosis that is deficient in nonhomologous end joining repair should be more sensitive to damage by X-rays.

Nonhomologous end joining is a DNA repair mechanism that can join two DNA fragments with little or no homology between them. X-rays, which are high-energy electromagnetic waves, can cause damage to DNA by breaking the strands of the double helix.

This damage can be repaired by mechanisms like nonhomologous end joining, so a strain of Mycobacterium tuberculosis that is deficient in this repair mechanism would be more sensitive to damage by X-rays.

UV radiation, glycosylase, and depurination are not directly related to nonhomologous end joining repair and would not have the same effect.

Lear more about Mycobacterium tuberculosis,

https://brainly.in/question/38421897

#SPJ11

what is the total weight of a shopping bag which contains 2kg of potatoes,1kg of apple ,half a kilogram of tomatoes and 3/4of grape?​

Answers

The equatiοns, 1 unit equals 10 οn the x-axis and 10 οn the y-axis.

What are equatiοns?

Equatiοns are statements in mathematics that have twο algebraic expressiοns οn either side οf the equals (=) sign.

It shοws that the expressiοns printed οn the left and right sides have an equal relatiοnship.

In any mathematical equatiοn, we have LHS = RHS (left hand side = right hand side).

Equatiοns can be sοlved tο find the value οf an unknοwn variable that represents an unknοwn quantity.

If there is nο "equal tο" symbοl, a statement is nοt an equatiοn.

When twο expressiοns have equal values, a mathematical statement knοwn as an equatiοn includes the symbοl "equal tο" between them.

Accοrding tο οur questiοn-

Alsο, cοst οf 4 kg apples and 2 kg οf grapes are ₹ 300. can be represented as,

4x + 2y = 300

2(2x + y) = 300

2x + y = 150  ---  Equatiοn(2)

Therefοre, the algebraic representatiοn fοr equatiοn(1) is:

2x + y = 160

y = 160 - 2x

And, the algebraic representatiοn fοr equatiοn(2) is:

2x + y = 150

y = 150 - 2x

Hence, The equatiοns, 1 unit equals 10 οn the x-axis and 10 οn the y-axis.

learn more about equations click here:

brainly.com/question/2972832

#SPJ1

is the real-estate market heating up? to estimate the mean sales price, a realtor in a large city randomly selected 100 home sales from the previous 6 months in her city. these sales prices are displayed in the boxplot.

Answers

The truth regarding the conditions for constructing a confidence interval for a population mean for the real estate market is that E. All conditions have been met.

What conditions are needed to construct a confidence interval ?

For a confidence interval to be construction, sample should be randomly selected, sample size should be no more than 10% of the population size, and the sampling distribution should be approximately normal. This can be achieved if the sample size is large (typically n ≥ 30) and the data doesn't have strong skewness or outliers.

The question states that the realtor is working in a large city, and it is reasonable to assume that 100 home sales are less than 10% of all homes sold in the previous 6 months in this large city. So, this condition is met.

The realtor has randomly selected 100 home sales, so the random condition is met. All conditions have therefore been met to construct a confidence interval.

Find out more on confidence intervals at https://brainly.com/question/29576113

#SPJ1

Options for this question include:

The 10% condition is not met. It is not reasonable that 100 < 10% of all homes sold in the previous 6 months in this large city. Random: This condition is not met because the sample was selected from only one city. The Normal/Large Sample condition has not been met because the boxplot is strongly skewed to the right with outliers. The Large Counts condition has not been met because np = 100 and n(1-P) are not both at least 10. All conditions have been met.

A city has a population of 370,000 people. Suppose that each year the population grows by 4. 75%. What will the population be after 11
years?

Answers

The population of the city will be approximately 597,543 people after 11 years.

We can solve this problem using the formula for exponential growth:

[tex]N = P(1 + r)^t[/tex]

where:

N = final population

P = initial population

r = annual growth rate (as a decimal)

t = number of years

In this case, we have:

P = 370,000

r = 0.0475 (since the annual growth rate is 4.75%)

t = 11

Substituting these values into the formula, we get:

[tex]N = 370,000(1 + 0.0475)^{11}[/tex]

Using a calculator, we can simplify this expression to:

N = 597,542.64

Learn more about exponential here https://brainly.com/question/28596571

#SPJ4

When an electric current passes through two resistors with resistance r and s, connected in parallel, the combined resistance, R, can be calculated from the equation
1/R = 1/4+1/s
where R, r , and s are positive. Assume that s is constant.
Find dr/ DR
Is R and increasing or decreasing function of r?
(Enter increasing, decreasing, neither, or both (write both if there are values of r for which R is increasing, and other values for which it is decreasing; enter neither if this is a constant function.)
If we consider the interval aImage for When an electric current passes through two resistors with resistance r and s, connected in parallel, the combrImage for When an electric current passes through two resistors with resistance r and s, connected in parallel, the combb, where does R take on its global maximum and minimum values?
maximum: r=
minimum: r=
(Enter none if there is no global maximum or minimum for this function.)

Answers

The combined resistance, R, of two resistors with resistances r and s connected in parallel can be calculated using the equation:
[tex]1/R = 1/r + 1/s[/tex]
When an electric current passes through these resistors, the combined resistance depends on the values of r and s. To analyze the behavior of R with respect to r, we can rewrite the equation as:
[tex]R = (rs)/(r + s)[/tex]
R is a function of r and s, and its behavior depends on the values of r and s. If r and s are positive, the function is neither increasing nor decreasing globally, as it depends on both r and s values. However, for specific values of r and s, the function can be either increasing or decreasing locally.
There is no global maximum or minimum for this function because it depends on the specific values of r and s, and it can take any positive value depending on these resistances. So, the answer is none for global maximum or minimum.
In summary, the behavior of the combined resistance R when an electric current passes through two resistors connected in parallel depends on the values of r and s. It is neither globally increasing nor decreasing and has no global maximum or minimum.

for such more questions on resistors

https://brainly.com/question/30127769

#SPJ11

Triangle ABC is shown below. Describe how we could use circles to determine whether this is an equilateral triangle.

Answers

In Triangle ABC, we can draw a circle around each vertex of the triangle.

If the radii of all three circles are equal, then Triangle ABC is an equilateral triangle.

What is radii?

Radii is the plural form of radius. It is half of the diameter and the length of the radius is used to calculate the area and circumference of the circle.

To determine whether a triangle is an equilateral triangle, we can use circles.

In this method, we draw three circles, one around each vertex of the triangle.

We then measure the radii of the circles, ensuring that they are all equal. If the radii of the three circles are equal, then the triangle is an equilateral triangle.

In Triangle ABC, we can draw a circle around each vertex of the triangle. Then, we could use a measuring tool to measure the radii of each circle. If the radii of all three circles are equal, then Triangle ABC is an equilateral triangle.

This method of using circles to determine whether a triangle is an equilateral triangle is simple and efficient. It does not require any complex calculations, and it is easy to understand.

For more questions related to equilateral triangle

https://brainly.com/question/17264112

#SPJ1

Shay's sister is 7 years younger than twice her age. The sum of their
ages is 80. How old is Shay?

Answers

Since Shay's sibling is 7 years younger than twice her age, Shay is therefore 29 years old.

what is unitary method ?

Mathematicians use the unitary method, also referred to as the "single unit technique," to answer problems involving proportional relationships between two or more quantities. The unitary technique entails determining the value of a single unit or quantity and using that value to calculate the values of other quantities in relation to that unit or quantity. Problems requiring ratios, proportions, percentages, and other related ideas can be solved using this approach.

given

Shay's age will be denoted by the letter S, and her sister's age will be referred to as "Sister".

The first claim informs us of the following:

Sibling = 2S – 7

And based on the second assertion, we can infer that:

Sibling + S = 80

The result of putting the first equation into the second equation is:

S + (2S - 7) = 80

When we simplify this solution, we obtain:

3S - 7 = 80

7 added to both edges gives us:

3S = 87

When we multiply both parts by 3, we get:

S = 29

Since Shay's sibling is 7 years younger than twice her age, Shay is therefore 29 years old.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

What is the measure of
∠1 if
∠1 is (8x)
∘ and
∠2 is (2x - 3)
∘?

Answers

∠1 + ∠2 = 180

Substituting the given expressions for ∠1 and ∠2:

8x + (2x - 3) = 180

Simplifying and solving for x:

10x - 3 = 180

10x = 183

x = 18.3

Now we can substitute x back into the expression for ∠1 to find its measure:

∠1 = 8x = 8(18.3) = 146.4 degrees.

Therefore, if ∠1 and ∠2 add up to 180 degrees and ∠1 is given as 8x° and ∠2 is given as (2x - 3)°, then ∠1 measures 146.4 degrees

Answer:

<1=146.4

<2=34.6

Step-by-step explanation:

<1+<2=180 degrees

So,

8x+(2x-3)=180

10x-3=180

10x=183

X=18.3


subsitute:

<1=8x

<1=8(18.3)

<1=146.4


<2=2x-3

<2=2(18.3)-3

<2=34.6

2sin(2x-π÷2)≥√3
[tex]2 \sin(2x - \frac{\pi }{2 } ) \geqslant \sqrt{3} [/tex]
solve it with steps​

Answers

The inequality trigonometry expression 2sin(2x - π/2) ≥ √3 when solved has a solution of x ≥ 5π/12

How to solve the inequality trigonometry expression

In the question, we have the following expression

2sin(2x - π/2) ≥ √3

The above expresson is an inequality and a trigonometry expression

So, we have

2sin(2x - π/2) ≥ √3

Divide by 2

sin(2x - π/2) ≥ 1/2√3

Take the arc sin of both sides

2x - π/2 ≥ π/3

Add π/2 to both sides of the expression

2x ≥ π/2 + π/3

Evaluate the like terms

2x ≥ 5π/6

Divide both sides by 2

x ≥ 5π/12

Hence, the solution to the variable x is x ≥ 5π/12

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

(7) The area of a rectangle is 14
square units. It has side lengths a
and b. Given the following value
for a, find b. a = 2 & 1/3

Answers

The value of sides b for different value of a  in a rectangle are;

a=2 and b=7

a=1/3 and b=42

Define rectangle

A rectangle is a type of quadrilateral with four sides and four right angles (90-degree angles). It is a two-dimensional shape with opposite sides that are parallel and equal in length. The opposite sides of a rectangle are also perpendicular to each other, which means they meet at 90-degree angles.

A = l x w, where A is the area, l is the length, and w is the width, calculates the area of a rectangle.

In this case, we are given that the area is 14 square units, so we can set up the equation:

14 = a x b

Given;

a=2

Using this value as a replacement in the formula, we obtain:

14 = (2) x b

b=7

Taking another value of a=1/3

Using this value as a replacement in the formula, we obtain:

14=1/3×b

b=42

Therefore, The value of b for different value of a are;

a=2 and b=7

a=1/3 and b=42

To know more about parallel, visit:

https://brainly.com/question/16853486

#SPJ9

say that you are given some tpwm and some number of intervals n to specify the smallest ton. if tpwm doubles and ton remains the same, what happens to the resolution, n?

Answers

The resolution (n) is an important factor when specifying the smallest ton. If the TPWM (time-proportional width modulation) doubles and the ton (time-on) remains the same, the resolution will also double.

This is because the same amount of time (ton) is distributed over twice the pulses (TPWM).

To better understand this, imagine having 10 slices of a cake and trying to divide them into 2 even halves. You can achieve that by cutting each slice into 2 parts. The same logic applies to TPWM and ton.

TPWM represents the number of “slices” and ton represents the “time” allotted to each slice. When TPWM doubles, resolution (n) doubles as well. This is because twice the number of pulses (TPWM) are spread over the same time (ton), meaning that each pulse gets a smaller amount of time (a higher resolution).

The resolution (n) is inversely proportional to TPWM, meaning that if TPWM increases, resolution decreases, and if TPWM decreases, resolution increases. Thus, when TPWM doubles and ton remains the same, resolution (n) doubles as well.

See more about TPWM at: https://brainly.com/question/28347228

#SPJ11

The area of the patio is enter your response here ​, so the cost of concrete is ​$ enter your response here. The area of the garden is enter your response here ​, so the cost of soil is ​$ enter your response here. The total area of the deck is enter your response here ​, so the cost of wood is ​$ enter your response here. ​So, Yuri will spend ​$ enter your response here more on concrete than on soil and wood. ​(Type integers or​ decimals. )

Answers

Yuri will spend $ X more on concrete than on soil and wood.

When answering questions on Brainly, it is important to be factually accurate, concise, and professional.

It is also important to provide a step-by-step explanation of how you arrived at your answer.

The question is asking about the cost of materials for a patio, garden, and deck.

Let's break down the information we have.

Area of the patio = enter your response

Here

Cost of concrete = $ enter your response

Here

Area of the garden = enter your response

here

Cost of soil = $ enter your response

here

Total area of the deck = enter your response

here

Cost of wood = $ enter your response

here

Yuri will spend $ enter your response here more on concrete than on soil and wood.

To find the cost of each material, we need to multiply the area by the cost per unit area.

For example, the cost of concrete would be the area of the patio multiplied by the cost of concrete per unit area.

Let's call the cost per unit area for concrete C, the cost per unit area for soil S, and the cost per unit area for wood W.

Area of patio = P

Cost of concrete = C

Area of garden = G

Cost of soil = S

Total area of deck = D

Cost of wood = W

Yuri will spend X more on concrete than on soil and wood.

To find the values of P, C, G, S, D, and W, we need to use the information given in the question.

However, some values are missing.

We can use the given information to create equations that will help us find these values.

For example, we know that the total area of the deck is the sum of the area of the patio and the area of the garden, so we can write:

D = P + G

Similarly, we can write an equation for the cost of each material.

For example, the cost of concrete is the area of the patio multiplied by the cost per unit area for concrete, so we can write:

C = P * C

Similarly, we can write equations for the cost of soil and wood:

S = G * W, W = D * W

Now we have three equations and three unknowns: P, G, and D. We can solve this system of equations to find these values.

Let's solve for P and G first.

We'll use the equation

D = P + G

to eliminate G from the equations.

C = P * CS = G * WP = D - G

Substitute P = D - G into the first two equations.

C = (D - G) * CW = D * W - G * W

Now we have two equations and two unknowns: D and G.

We can solve for these values.

We'll use the equation

W = D * W - G * W

to eliminate W from the equations.

C = (D - G) * CS = G * SD = P + G = 2G - (W / C)

Substitute D = P + G into the first two equations.

C = P * C + G * CS = G * SW = P + G - DC = P * C + (D - P) * C + (W / C) * C = 2P * C + W

We can now solve for P, G, and D.

P = (C + S + W / C) / 2G = (S + W / C) / 2D = P + G = (C + S + W / C) / 2 + (S + W / C) / 2P = enter your response

here

C = enter your response

here

S = enter your response

here

W = enter your response

here

G = enter your response

here

D = enter your response

here

Now we can find the value of X, which is the difference between the cost of concrete and the combined cost of soil and wood.

X = C - (S + W)X = enter your response.

The area of the patio is enter your response here ​, so the cost of concrete is ​$ enter your response here. The area of the garden is enter your response here ​, so the cost of soil is ​$ enter your response here. The total area of the deck is enter your response here ​, so the cost of wood is ​$ enter your response here.

For similar question on cost

https://brainly.com/question/29509552

#SPJ11

Question:

Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood?

coupling tetraalkylammonium and ethylene glycol ether side chain to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery

Answers

Coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. The side chains of the tetraalkylammonium are modified with the ethylene glycol ether, which is a highly polar solvent, allowing for better solubility in nonaqueous electrolyte solutions. Additionally, the ethylene glycol ether has the ability to modify the stability of the ionic species, preventing aggregation and ensuring the longevity of the battery. This increases the redox capacity and enhances the performance of the flow battery.

The ethylene glycol ether-tetraalkylammonium coupling has been proven to be an effective method for improving the solubility and stability of anthraquinone-based ionic species. For example, it has been observed that the coupling of ethylene glycol ether to anthraquinone-based ionic species enhanced the current density of the battery by more than 3 times. Furthermore, the coupling process has also been found to improve the energy efficiency and storage capacity of the nonaqueous redox flow battery.

Overall, coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method for enabling highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. This process has been proven to improve the performance of the battery, including current density, energy efficiency, and storage capacity.

for such more questions on solubility

https://brainly.com/question/23946616

#SPJ11

Whic expression is not equivalent to 3x-(4-×)

Answers

The expression 3x-(4-x) is equivalent to 4x-4

The distributive property is a mathematical property that describes the relationship between multiplication and addition or subtraction. It states that when a number is multiplied by a sum or difference of two or more numbers, the result is the same as if we multiplied the number by each of the individual terms inside the parentheses and then added or subtracted the products.

To simplify the expression 3x-(4-x), we can distribute the negative sign to the second term inside the parentheses, which gives:

3x - (4 - x) = 3x - 4 + x

Now we can combine the like terms (3x and x) to get:

3x - 4 + x = 4x - 4

Learn more about distributive property here

brainly.com/question/6276874

#SPJ4

The given question is incomplete, the complete question is:

Which expression is equivalent to 3x-(4-x)?

Which line models the data points better and why? (1 point) Oblue, because it is longer Oblue, because the data points are all close to the line Ored, because it goes through one of the points Ored, because there are three points above the line and three points below the line​

Answers

The line that models the data points better is Red, because it goes through one of the points.

What is data in math?

Data is information that has been organized and processed in a meaningful way. It is the raw material of digital systems and the foundation of all computer-based operations. It can be stored, retrieved, and manipulated in a variety of ways, and it is used to generate insights, drive decisions, and build solutions. Data can come from a variety of sources, including manual entry, sensors, databases, and the internet.

This is a better model than Blue, because the data points are not all close to the line, and having the line go through one of the points ensures that the line is better representing the points. Additionally, having three points above the line and three points below the line helps to make the line a better model of the data points, as it is more evenly distributed.

To know more about data click-
https://brainly.com/question/14592520
#SPJ1

Determine the present value P you must invest to have the future value A at simple interest rate r after time t.
A​ = ​$12,000​, r​ = ​8.0%, t​ = 6 years

Answers

In order to have a potential value of $12,000 at a simple rate of interest of 8.0% after 6 years, the current value you must invest is therefore approximately $8,108.11.

To give an example, what exactly is simple interest?

A formula called Simple Interest (S.I.) is used to determine how much interest will be charged on a certain principal sum of money at a specific interest rate. For instance, if a person borrows Rs. 5000 for two years at a rate of 10 p.a., they will be compelled to pay S.I. on the whole amount borrowed during those two years.

For simple interest, use the formula:

A = P(1 + rt)

where r is the interest rate, t is the amount of time in years, A represents the future value, P is indeed the present value, and so on.

This formula can be changed to account for P:

P = A / (1 + rt)

By entering the specified values, we obtain:

P = 12,000 / (1 + 0.08 x 6)

P = 12,000 / 1.48

P = $8,108.11

To know more about simple interest visit:

brainly.com/question/25845758

#SPJ4

assume that the width of a ci for the mean of a normal distribution is 3.4. you know that the population variance is 22, the sample average is 25 and the sample size is 15. what is the confidence level of the ci?

Answers

The confidence level of the CI is 95%.

The formula for the confidence interval of a normal distribution is

CI = X ± Zα/2 × σ/√n

Where

CI is the confidence interval

X is the sample mean

Zα/2 is the Z-score corresponding to the desired confidence level α/2

σ is the population standard deviation

n is the sample size

We know that the width of the confidence interval is 3.4, so

3.4 = 2 × Zα/2 × σ/√n

We also know that σ = √22 = 4.69, X = 25, and n = 15. Plugging these values into the equation and solving for Zα/2

3.4 = 2 × Zα/2 × 4.69/√15

Zα/2 = 1.96

The Z-score corresponding to a 95% confidence level is 1.96. Therefore, the confidence level of the CI is 95%.

Learn more about confidence interval here

brainly.com/question/29680703

#SPJ4

the equations 6x + 5y = 28 and 10x + 14y = 58 represent the cost for lunch and dinner for a family eating out on vacation. if x is the number of adults and y is the number of children, how many adults are in the family?

Answers

There are 3 adults in the family by using the method of substitution and elimination.

What is Substitution?

Substitution is a method used in mathematics to replace one or more variables in an equation or expression with a value or expression that is equivalent to the variable(s). This is done in order to simplify an equation or expression or to solve for a variable.

What is Elimination?

Elimination is a method used in mathematics to solve a system of equations by eliminating one variable. This method involves manipulating the equations in such a way that one of the variables is eliminated, leaving a simpler equation with only one variable that can be solved easily.

In the given question,

Here's how we can solve for x, the number of adults:

Multiply the first equation by 2 to get rid of the coefficient of x in the second equation:

12x + 10y = 56

10x + 14y = 58

Subtract the first equation from the second equation to eliminate y:

10x + 14y - (12x + 10y) = 58 - 56

-2x + 4y = 2

Divide both sides by -2 to isolate x:

x - 2y = -1

x = 2y - 1

Substitute x = 2y - 1 into one of the original equations (let's use the first one) and solve for y:

6x + 5y = 28

6(2y - 1) + 5y = 28

12y - 6 + 5y = 28

17y = 34

y = 2

Substitute y = 2 into the equation x = 2y - 1 to solve for x:

x = 2(2) - 1

x = 3

Therefore, there are 3 adults in the family.

To know more about elimination method, visit:

https://brainly.com/question/29150442

#SPJ1

12) solve the equation.

|2a+3| +4=11

Answers

Answer:

2=a

Step-by-step explanation:

2a+3+4=11

2a+7=11

2a=11-7

2a=4

a=2

MC)

A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 5 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 2:8?

Answers

the perimeter of the door on the scale drawing is 4 centimeters. A scale drawing is a representation of an object that is drawn to a smaller or larger size than the actual object, but the proportions between the dimensions of the object are maintained.

In this case, we are given a rectangular door of a dollhouse with a height of 5 centimeters and a width of 3 centimeters, and we are asked to find the perimeter of the door on a scale drawing that uses the scale 2:8.

The scale 2:8 means that every 2 units on the scale drawing represent 8 units on the actual object. To find the dimensions of the door on the scale drawing, we can divide both the height and the width by 8 and then multiply by 2, since the scale ratio is 2:8. This gives us the following dimensions on the scale drawing:

Height = (5/8) x 2 = 1.25 centimeters

Width = (3/8) x 2 = 0.75 centimeters

Now, we can use these dimensions to find the perimeter of the door on the scale drawing. The perimeter of a rectangle is given by the formula:

Perimeter = 2 x (Length + Width)

In this case, the length and width of the door are the same as the height and width of the door, respectively. So, we can write:

Perimeter = 2 x (Height + Width)

= 2 x (1.25 + 0.75)

= 2 x 2

= 4

Therefore, the perimeter of the door on the scale drawing is 4 centimeters.

In summary, we can find the dimensions of the door on the scale drawing by dividing the actual dimensions by 8 and multiplying by 2, and we can find the perimeter of the door on the scale drawing using the formula for the perimeter of a rectangle.

To know more about perimeter click here:

brainly.com/question/6465134

#SPJ4

consider drawing four cards without replacement from a standard deck of cards. what is the conditional probability of drawing a heart on the fourth draw, given that the first three cards are not hearts?

Answers

The conditional probability of drawing a heart on the fourth draw, given that the first three cards are not hearts is 4.74%.

The conditional probability of drawing a heart on the fourth draw, given that the first three cards are not hearts, can be calculated using Bayes’ theorem:

P(heart on fourth draw | first three draws are not hearts) = P(heart on fourth draw and first three draws are not hearts) / P(first three draws are not hearts)

To calculate the numerator, we need to find the probability of drawing a heart on the fourth draw and the first three draws being not hearts. Since we are drawing without replacement, the probability of drawing a heart on the fourth draw is 13/49 (there are 13 hearts remaining out of 49 cards remaining). The probability of the first three draws being not hearts can be calculated as:

(39/52) x (38/51) x (37/50) = 0.4372

Therefore, the numerator is:

P(heart on fourth draw and first three draws are not hearts) = (13/49) x (39/52) x (38/51) x (37/50)

P(heart on fourth draw and first three draws are not hearts) =  0.0207

To calculate the denominator, we need to find the probability of the first three draws being not hearts. We already calculated this as 0.4372.

Therefore, the conditional probability of drawing a heart on the fourth draw, given that the first three cards are not hearts, is:

P(heart on fourth draw | first three draws are not hearts) = P(heart on fourth draw and first three draws are not hearts) / P(first three draws are not hearts)

P(heart on fourth draw | first three draws are not hearts) = 0.0207 / 0.4372

P(heart on fourth draw | first three draws are not hearts) ≈ 0.0474

So the probability of drawing a heart on the fourth draw, given that the first three cards are not hearts, is approximately 0.0474 or 4.74%.

To learn more about probability, refer:-

https://brainly.com/question/30034780

#SPJ4

FARMING A dairy farmer has 2650 dairy cows on his farm. If each dairy cow produces 2320 gallons of milk per year, how much milk does the dairy farm yield in one year? Write your answer in scientific notation.

Answers

Answer:

To calculate the total milk yield in one year, we need to multiply the number of dairy cows by the amount of milk each cow produces per year:

Total milk yield = 2650 dairy cows × 2320 gallons of milk per cow per year

Total milk yield = 6,188,000 gallons per year

To write this answer in scientific notation, we need to express the number 6,188,000 as a number between 1 and 10 multiplied by a power of 10. We can do this by moving the decimal point to the left until we have a number between 1 and 10, and counting the number of decimal places we moved. In this case, we need to move the decimal point 6 places to the left:

Total milk yield = 6.188 × 10^6 gallons per year

Therefore, the dairy farm yields 6.188 × 10^6 gallons of milk per year.

which of the following statements creates an array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and 56.4 to its elements?

Answers

The statement that creates an array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and 56.4 to its elements is: `double[] miles = {27.2, 33.5, 12.8, 56.4}.

An array is a data structure that contains a group of elements of the same data type. It is a collection of variables with the same data type but with different values assigned to them. To create an array in Java, we specify the data type of the elements in the array and the size of the array.The code that creates an array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and 56.4 to its elements is given as follows: double[] miles = {27.2, 33.5, 12.8, 56.4}: The `double[]` specifies the data type of the elements in the array, which is double. The name of the array is miles, and it contains four elements with values 27.2, 33.5, 12.8, and 56.4 respectively.

Learn more about arrays here, https://brainly.com/question/28061186

#SPJ11

DECIMAL MILES can create array of decimal miles.

In computer science, an array is a data structure consisting of a collection

of elements, of same memory size, each identified by at least one array

index or key. An array is stored such that the position of each element can

be computed from its index tuple by a mathematical formula. Two type of

array are there 2D array and 3D array. The following statement creates an

array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and

56.4 to its elements:

decimal[] miles = {27.2, 33.5, 12.8, 56.4};

LEARN MORE ON ARRAY:https://brainly.com/question/28061186

#SPJ11

Can the segment form a triangle? Why or why not?

A. 6 + 5 is not greater than twelve

B. Yes 6+5 is equal to twelve

C. No 6+5 is not equal to 12

D. Yes 6+5 equals less than twelve

Answers

Answer: b

Step-by-step explanation:

Please help, I have an idea on what I think might be the correct answer, but I am not sure.
I would like to see anybody's method on solving this and compare to mine.
Please and Thank You.

Answers

The surface area of the triangular prism is 960 units squared.

How to find the surface area of a triangular prism?

The surface area of the triangular prism can be found as follows:

surface area of the triangular prism = bh + l(s₁ + s₂ + s₃)

where

b = base of the triangleh =height of the trianglel = height of the prisms₁, s₂ and s₃ are the sides of the triangle.

Therefore,

surface area of the triangular prism = 24 × 16  + 9 (20 + 20 + 24)

surface area of the triangular prism = 384 + 9(64)

surface area of the triangular prism = 384 + 576

surface area of the triangular prism = 960 units²

learn more on surface area here: https://brainly.com/question/29298005

#SPJ1

- The Graduates Choice designs and sells two types of class rings, the GPA and the MVP. They
can produce up to 24 rings per day using at most 60 total hours of labor. It takes 3 hours to
make one GPA ring and 2 hours to make one MVP ring. How many of each ring type should be
made daily in order to maximize the company's profit if the profit on the GPA ring is $40 and
the profit on the MVP ring is $35?

Answers

The 12 of each type of the ring would give max profit for the company.

How many of each type should be made daily to maximize the company's profit?

Let x = number of VIP rings: let y = number of SST rings

:

The total production inequality;

x + y =< 24

y = 24 - x; arranged to plot graph (purple)

:

The labor inequality;

3x + 2y =< 60

2y = 60 - 3x

y = 60/2 - (3/2)x

y = 30 - 1.5x; arranged to plot the graph (red).

From the graph, the 3 corners of the area of feasibility (at or below the lines whichever is lower):

: x/y;.....profit on each type;... total profit

0,24; 40(0) + 35(24) = 0 + 840 = $840

12,12; 40(12) + 35(12) = 480 + 420 = $900

20,0; 40(20) + 35(0) = 800 + 35(0) = $800.

Therefore, the 12 of each type of the ring would give max profit for the company.

Read more about max profit

brainly.com/question/30281964

#SPJ1

Other Questions
what message do you think krauel wanted to deliver to deaf people living in the us from 1920 to 1950? what is the best approach for the team to keep the stakeholders continuously updated on the work status? What is racial profiling in law enforcement, and what are some of the methods that have been prescribed to stop it? How does a solar cell make electricity? What is it made of? What does "active" and "passive" solar mean and how do they work? if there is an increase in the number of potassium leak channels, group of answer choices the cell is more likely to reach a threshold potential the cell is less likely to reach a threshold potential ACE the question in the story animal farm orwell suggests that the pigs are most clever in what area? what city near the chernobyl nuclear power plant was completely evacuated following the nuclear disaster and remains a ghost town today? according to the principles of instructional design introduced via this unit, what is the most important step when planning an instructional program? how does the theory of the soul support socrates' argument against glaucon that justice is good for its own sake, not merely for its rewards or consequences what was the tactic used by charlotte hawkins brown as she attempted to raise money for the palmer memorial institute? the formal system of task and reporting relationships that coordinates and motivates an organization's members to achieve the company's goals is called the organizational which biome would be described as having ample rainfall or moisture from fog, with large conifers such as sitka spruce and douglas fir? if walmart needed to raise funds for future growth strategies, would it be more prudent to take out new debt, or issue new stock based on your analysis of the balance sheet? at 4 hours, you can already easily observe the growth of inoculated bacteria. true false question. true in a monopolistic competition model, the fundamental conditions include: group of answer choices there are few competitors and potential competitors in the market there is no ability to develop consumer loyalty each firm can vary its product quality there is an ability to develop consumer loyalty Use the chart below to answer the following question:Line graph of Gulag Prisoner statistics between the years 1934-1953. Four lines are depicted. Prisoners peaked in 1941 at approximately 1,500,000, dropped by 1946 to 600,000, and rose steadily until 1953 to 1,750,000. The number of freed prisoners peaked in 1941 at 600,000 and again in 1953 at almost 1,000,000, but on average was between 200,000 and 400,000 per year. The average number of deaths per year until 1941 was approximately 50,000 or less, but a sharp increase to over 225,000 in began in 1941 which was followed by a gradual decline back to 50,000 or less deaths per year by 1947. Although approximately 100,000 escaped in 1934, the number of prisoners who escaped gradually declined until 1938, after which there were very few successful escapes. Creative Commons Attribution-Share Alike 3.0 UnportedWhich of the following statements is supported by the chart above? A steady stream of people escaped from the Soviet gulags throughout their existence. After World War II, the gulag system declined steadily before being abolished. World War II significantly disrupted the gulag prison system. After prisoner deaths, there was always a corresponding increase in prisoner releases. which of the following has the greatest momentum? 10.0 kg mass moving at 30 m/s 3000 kg mass moving at 0.2 m/s 0.05 kg mass moving at 200 m/s 200 kg mass moving at 2 m/s which two church modes were saved and today form the major and minor scales?a. Ionian and aeolianb. Dorian and aeolianc. Ionian and lydiand. Lydian and aeolian PLEASE HELP THE QUARTER ENDS TOMORROW!!!!What is a good quote in the book Discovering Wes Moore in chapter 6? basalt is an igneous rock that can be found in which volcanic environment?group of answer choicesmid-ocean ridge volcanismhot spot volcanismsubduction zone volcanism