Answer:
There are different ways to approach this problem, but one possible method is:
Define the event A as "the student owns a trampoline".
Find the probability of A: P(A) = 21/23, because 21 out of 23 students said they owned a trampoline.
Find the probability of the complement of A, which is "the student does not own a trampoline". We can denote this event as A', and it is equivalent to "the student is one of the 2 students who did not say they owned a trampoline". Therefore, P(A') = 2/23.
Check that P(A) + P(A') = 1, because the student either owns a trampoline or does not.
Answer the question: the probability that the student does not own a trampoline is P(A') = 2/23, or approximately 0.087 or 8.7% (rounded to one decimal place).
Therefore, the answer is: the probability that the student does not own a trampoline is 2/23, or approximately 0.087 or 8.7%.
a sample of 90 adult randolph county residents showed that 59 own a home. what is the risk of owning a home?
The risk of owning a home in Randolph County based on the given sample can be calculated as:
Risk of owning a home = Number of residents who own a home / Total number of residents in the sample
Risk of owning a home = 59 / 90
Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.
I really need help on this please
Answer:
5.
[tex]≈1017.9 \: {ft}^{2} [/tex]
6.
[tex]≈50.3 \: {yd}^{2} [/tex]
7.
[tex]≈1809.6 \: {mm}^{2} [/tex]
8.
[tex]≈1256.6 \: {cm}^{2} [/tex]
Step-by-step explanation:
I added a photo of my solution, I hope I did it right
100 points please help
In its simplest form of the quadratic equation, the answers to the equation 15z2 + 6z - 8 = 4z are z = 7/11 and z = -13/11.
Is an equation quadratic a formula?The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. In its most basic form, it is a quadratic equation where "a" denotes the leading coefficient and "c" is the absolute term of f. (x).
We must first transform the problem into the form ax2 + bx + c = 0 where a, b, and c are constants before we can solve 15z2 + 6z - 8 = 4z using the quadratic formula.
Here are the facts:
a = 15 - 4 = 11
b = 6
c = -8
The quadratic formula is amended with the following values:
[tex]z = (-b ± √(b^2 - 4ac)) / 2a[/tex]
We get:
[tex]z = (-6 ± √(6^2 - 4(11)(-8))) / 2(11)[/tex]
Simplifying:
z = (-6 ± √(400)) / 22
z = (-6 ± 20) / 22
Thus, the solutions are:
z = (-6 + 20) / 22 = 7/11
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Solve for y.
2y - 8x = 20
y = [ ? ]x + {?}
Answer:
y = 4x + 10
Step-by-step explanation:
2y - 8x = 20 ( add 8x to both sides )
2y = 8x + 20 ( divide through by 2 )
y = 4x + 10
Answer: y=4x+10
Step-by-step explanation:
A group of workers can plant 56 acres in 8days.
What is their rate in acres per day?
Answer: I believe the answer is 7
Step-by-step explanation:
To solve this I just divided 56 by 8, the answer then is 7. Hope this helps!!!
PLEASE HELP
Write and simplify a polynomial expression to find the area of 4 circles. Each circle has a radius of (4a-6)
Answer: 64πa^2-192πa+144
Step-by-step explanation:
Area of a circle: π •r^2
So then the area would be: 4•π(4a-6)^2
FOIL (4a-6)(4a-6) and get 16a^2-48a+36
Plug it in and get 4•π(16a^2-48a+36)
Distribute pi sign and get 4•(16πa^2-48πa+36π)
Distribute the 4 and you get 64πa^2-192πa+144
Answer: 64πa^2-192πa+144
An arithmetic sequence begins with −42, −32, −22, −12, −2 …
Which option below represents the formula for the sequence?
f(n) = −42 − 10(n+1)
f(n) = −42 + 10(n+1)
f(n) = −42 − 10(n−1)
f(n) = −42 + 10(n−1)
Thus, the obtained formula for the arithmetic sequence is found as:
f(n) = -42 + 10(n - 1).
Explain about the arithmetic sequence?A list of integers called an arithmetic sequence has a constant difference between terms. Any number may be the first in an arithmetic sequence, but the distance between succeeding terms must remain constant.
Unreal numbers can be used in a series. I believe that the next step in an equation should be an actual real number.
The nth term formula for the arithmetic sequence is:
f(n) = a1 + (n - 1)d
a1 is the first term n is the number of termsd is the common differencearithmetic sequence -
−42, −32, −22, −12, −2 …
a1 = -42
d = -32 - (-42) = -32 + 42 = 10
So, formula for the sequence:
f(n) = -42 + (n - 1)10
f(n) = -42 + 10(n - 1)
Thus, the obtained formula for the arithmetic sequence is found as:
f(n) = -42 + 10(n - 1).
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g the number of bacteria in a culture increases from 600 to 1800 in 2 hours. assuming the rate of increase is proportional to the number of bacteria present, find:
The rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.
To find the rate of increase of the number of bacteria in a culture, we can use the formula
rate of change = change in number of bacteria/time elapsed.
In this case, the change in number of bacteria is 1800-600 = 1200, and the time elapsed is 2 hours.
Thus, the rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.
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What is -(-7) ??????
The answer is 7 because two negatives cancel each other out to make a positive.
The sales tax rate is 10%. If Ariana buys a cowboy hat priced at $25, how much tax will she pay?
Answer:
$27.50
Step-by-step explanation:
If the sales tax rate is 10%, then Ariana will pay 10% of the price of the cowboy hat as tax.
To calculate the amount of tax Ariana will pay:
First, we need to calculate the amount of the tax by multiplying the price of the cowboy hat by the sales tax rate: 0.10 x $25 = $2.50
So, the amount of tax that Ariana will pay is $2.50.
Therefore, Ariana will pay $2.50 in tax when she buys the cowboy hat priced at $25. Her total cost will be $25 + $2.50 = $27.50.
Answer:
2.50$
Step-by-step explanation:
Hope that helps ✌
you have to worry about perfect multicollinearity in the multiple regression model because a. many economic variables are perfectly correlated. b. the ols estimator is no longer blue. c. the ols estimator cannot be computed in this situation.
No, you do not have to worry about perfect multicollineariy in the multiple regression model.
Perfect multicollinearity occurs when two or more independent variables are perfectly correlated, and it can lead to inaccurate estimates of the coefficients. The Ordinary Least Squares (OLS) estimator can still be computed in this situation, but the standard errors of the coefficients will be inflated. To minimize the effects of multicollinearity, you can use regularization methods such as Ridge Regression or Lasso Regression.
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You deposit $800 in an account that earns simple interest. The difference between the total interest earned after 7 years and the total interest earned after 3 years is $64. What is the annual interest rate?
Answer:
Step-by-step explanation:
9 N = 480 ´ 109
(a) Write N as a number in standard form.
(1)
(b) Write N as a product of powers of its prime factors.
Show your working clearly.
(3)
(c) Find the largest factor of N that is an odd number.
Answer:
(a) To write 9 N as a number in standard form, we need to express it as a number between 1 and 10 multiplied by a power of 10. To do this, we can divide 9 N by 10 until we get a number between 1 and 10:
9 N = 480 × 10^9
9 N ÷ 10 = 48 × 10^9
9 N ÷ 10^2 = 4.8 × 10^9
9 N ÷ 10^3 = 0.48 × 10^9
9 N ÷ 10^4 = 0.048 × 10^9
9 N ÷ 10^5 = 0.0048 × 10^9
Therefore, 9 N = 4.8 × 10^10.
(b) To write N as a product of powers of its prime factors, we can first factorize N:
480 × 10^9 = 2^5 × 3 × 5 × 10^9
Then, we can express 10^9 as 2^9 × 5^9 and substitute it in the factorization:
2^5 × 3 × 5 × 2^9 × 5^9 = 2^14 × 3 × 5^10
Therefore, N = 2^14 × 3 × 5^10.
(c) To find the largest factor of N that is an odd number, we need to remove all factors of 2 from the factorization of N. We can do this by dividing N by 2 as many times as possible:
N = 2^14 × 3 × 5^10
N ÷ 2 = 2^13 × 3 × 5^10
N ÷ 2^2 = 2^12 × 3 × 5^10
N ÷ 2^3 = 2^11 × 3 × 5^10
N ÷ 2^4 = 2^10 × 3 × 5^10
N ÷ 2^5 = 2^9 × 3 × 5^10
N ÷ 2^6 = 2^8 × 3 × 5^10
N ÷ 2^7 = 2^7 × 3 × 5^10
N ÷ 2^8 = 2^6 × 3 × 5^10
N ÷ 2^9 = 2^5 × 3 × 5^10
N ÷ 2^10 = 2^4 × 3 × 5^10
N ÷ 2^11 = 2^3 × 3 × 5^10
N ÷ 2^12 = 2^2 × 3 × 5^10
N ÷ 2^13 = 2 × 3 × 5^10
N ÷ 2^14 = 3 × 5^10
Therefore, the largest factor of N that is an odd number is 3 × 5^10.
g. Substitute x back into one of the equation to solve for y. 5x+2y=7 3x-y=2
Answer: Substitute x back into one of the equations to solve for y.
Step-by-step explanation:
Need help
With this answer
The value of x in the given triangle is 2.44 units.
What are similar triangles?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures. While both have the same form, the sizes may vary. Each pair of comparable angles are equal. Similar equivalent side ratios exist.
Given that, LM bisects angle JLK.
Thus, angle JLM = angle MLK.
The two triangles triangle JKL and triangle MLK are similar using AA criteria.
Since, the two triangles are equal the ratio of their sides are equal.
Using Pythagoras theorem in triangle MLK we have:
LM² = 4² + 8²
LM = 8.9
Now, using the ratio:
x + 3 / 8.9 = x / 4
4x + 12 = 8.9x
12 = 4.9x
x = 2.44
Hence, the value of x in the given triangle is 2.44 units.
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ziggy has an exercise blood pressure of 150/60, a heart rate of 140 bpm, a max vo2 of 33 ml/kg/min, and a stroke volume of 95 ml. what is her mean arterial pressure?
90 mm Hg is Zigg's mean arterial pressure.
Here's the formula for calculating MAP: MAP = (CO x SVR) + CVPR
where:
CO stands for cardiac output (measured in liters per minute).
SVR stands for systemic vascular resistance (measured in mm Hg/L/min).
CVPR stands for central venous pressure (measured in mm Hg).
Now, let's get started with the calculation of MAP.
First, let's calculate CO (cardiac output): CO = HR x SV
where:
HR is heart rate (measured in beats per minute).
SV is stroke volume (measured in milliliters per beat).
CO = 140 bpm x 95 mlCO = 13300 ml/minCO = 13.3 L/min
Next, we need to calculate SVR (systemic vascular resistance).
The formula for calculating SVR is: SVR = (MAP - CVP) / CO
where:
MAP is mean arterial pressure (measured in mm Hg).
CVP is central venous pressure (measured in mm Hg).
CO is cardiac output (measured in liters per minute).
Since we don't have CVP in this question, let's assume it to be zero.
SVR = (MAP - 0) / 13.3 L/minSVR = MAP / 13.3 L/min
Now, we can rearrange the above equation to calculate
MAP:
MAP = SVR x 13.3 L/minMAP = 60 mm Hg (diastolic pressure) + 1/3 (systolic pressure - diastolic pressure)MAP = 60 mm Hg + 1/3 (150 mm Hg - 60 mm Hg)MAP = 60 mm Hg + 30 mm HgMAP = 90 mm Hg
Therefore, Ziggy's mean arterial pressure (MAP) is 90 mm Hg.
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PLEASE HELP THIS IS DUE TODAY
Answer:B
Step-by-step explanation:
the radius of a spherical beach ball is 24 centimeters. If another spherical beach ball has a radius of 3 centimeters long, abut how much greater is its volume , to the nearest cubic centimeter?
The secοnd beach ball has a vοlume abοut 57,791.69 cubic cm less than the first beach ball.
What is vοlume?Each thing in three dimensiοns takes up sοme space. The vοlume οf this area is what is being measured. The space οccupied within an οbject's bοrders in three dimensiοns is referred tο as its vοlume. It is sοmetimes referred tο as the οbject's capacity.
The vοlume οf a sphere with radius r is given by the fοrmula V = (4/3)πr³.
Fοr the first beach ball, with radius 24 cm, the vοlume is represented by the equatiοn-
V1 = (4/3)π(24 cm)³
V1 ≈ 57,904.79 cubic cm
Fοr the secοnd beach ball, with radius 3 cm, the vοlume is represented by the equatiοn -
V2 = (4/3)π(3 cm)³
V2≈ 113.10 cubic cm
The difference in vοlume between the twο beach balls is -
V1 - V2 ≈ 57,904.79 - 113.10
V1 - V2 ≈ 57,791.69 cubic cm
Therefοre, tο the nearest cubic centimeter, the vοlume is 57,792 cubic cm difference in bοth the beach balls.
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Prove that the two triangles are congruent. Be sure to include each step in the proof.
Triangle ABC and triangle DEF are congruent, according to the Side-Angle-Side (SAS) postulate.
Congruent Sides Angles: What Are They?If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent. Congruent sides angles are what these are called.
Triangle ABC must be shown to be congruent with triangle DEF.
By demonstrating that the two triangles have a single pair of congruent sides, we can get started. We can observe that AB and DE are both 6 cm long.
The congruent angle between the two triangles can be demonstrated. As BAC and EDF are both right angles, we can see that they are equivalent.
Thus, according to the Side-Angle-Side (SAS) hypothesis Triangle ABC is consistent with triangle DEF, we can say.
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PLS HELP......!
Fill in the blanks to describe each sequence in words. Then write the missing terms.
• Pyramidal Sequence: Each term in the sequence is the (BLANK) of a perfect square and all perfect squares before it.
1, (BLANK) , 14, 30, (BLANK) , 91, ...
• Fibonacci Sequence: Each term in the sequence is the (BLANK) of the 2 terms before it.
1, 1, 2, 3, (BLANK) , 8, 13, (BLANK) , 34, ...
Work out the equation of the line of reflection that
transforms shape P into shape Q.
The equation of line of reflection that transforms shape P into shape Q is y=7.
Reflection Definitiona reflection is known as a flip. A reflection is a mirror image of its shape. An image will reflect through the line, known as the line of reflection. Every point in a figure is said to mirror the other figure when they are all equally spaced apart from one another.
In the given figure, Shape P and Shape Q touches the line y=7 and Shape Q forms exact reflection of Shape P
Hence, the equation of the line of reflection that
transforms shape P into shape Q. is y=7.
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5=10÷x???????????????
Answer:
x=2
Step-by-step explanation:
10÷2=5
Answer: x=2
Step-by-step explanation:
5x2 = 10
10÷5 = 2
hope this helped
PLEASE HELP NEED IT DONE RN
Answer:
B) 3
Step-by-step explanation:
219 / 73= 3
3 x 73= 219
Answer: 3
Step-by-step explanation:
Can somebody please help with this? you don't have to understand Spanish its just a word search, please.
Answer: sure....... i actually understand Spanish so this is gonna be easy.
Step-by-step explanation:
Give me a few minutes to do it
Ok for startes when you find a word cross it off the word bank that is where your first mistake is......
a 86-ft tree casts a shadow that is 110 ft long. what is the angle of elevation of the sun? round the answer to two decimal places
The angle of elevation of the sun is 38.24 degrees (rounded to two decimal places).
The ratio of the height of the tree and the length of the shadow can be found by using the formula for tan which is given by:
tan(x) = (opposite/hypotenuse)
In the given problem statement, the height of the tree is opposite to the angle we are trying to find and the length of the shadow is the hypotenuse of the right-angled triangle. Therefore, we can say that:
tan(x) = opposite/hypotenuse = 86/110
We can use the inverse tangent function to find the value of x. This is because tan is the ratio of the opposite side (height of the tree) to the adjacent side (length of the shadow), and the inverse tangent function gives the angle that has that ratio.
So, tan x = 86/110 => x = tan⁻¹ (86/110) = 38.24 degrees (rounded to two decimal places). Therefore, the angle of elevation of the sun is 38.24 degrees.
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Whereas the carbohydrate and fat you eat is used mostly to give you energy, protein is used mostly to build and maintain your body.
True False
The statement "Whereas the carbohydrate and fat you eat is used mostly to give you energy, protein is used mostly to build and maintain your body" is True.
What are carbohydrates, fats, and proteins?
Carbohydrates, fats, and proteins are the three macronutrients that supply our bodies with energy.
All of these nutrients, particularly proteins, are required for the development and maintenance of the human body.In terms of providing energy, carbohydrates and fats are the most effective.
Carbohydrates are the body's primary source of energy. When you consume carbohydrates, they are broken down into glucose, which is transported throughout the body to be used as energy.
Fat is the second-most efficient source of energy, and it is utilized when carbohydrate stores are depleted. Fats are broken down into fatty acids and transported throughout the body, where they are utilized as an energy source. Proteins are not the body's preferred source of energy; instead, they are mostly used to build and repair tissues in the body.
In summary, while carbohydrates and fats are primarily used to produce energy, protein is mostly used for body maintenance and growth.
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Help needed LIKE RN!! URGENT!!
The surface area of the cylinder is approximately 127.17 cm².
What is the surface area of the cylinder?Surface area of cylinder is the total space covered by the flat surfaces of the bases of the cylinder and its curved surface. The formula for the surface area of a cylinder is: 2πr² + 2πrh.
To solve this problem, we first need to find the radius of the cylinder. The diameter of the cylinder is 3 cm, so the radius is half of that:
r = 3/2
= 1.5 cm
We need to substitute the values we know into the formula for surface area:
= 2π(1.5)² + 2π(1.5)(12)
= 2π(2.25) + 2π(18)
= 4.5π + 36π
= 40.5π
We will now approximate the value of π to get the numerical answer, so, our Surface Area will be:
= 40.5π
= 40.5 * π
= 40.5 * 3.14
≈ 127.17 cm²
Answered question "A cylinder is 12 cm tall and has a diameter of 3 cm. What is the surface area?"
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Align the variables in the equations.
2x - 3y = 9
1-6x +9y = -7
The variables in the equations are aligned as follows: 2x - 3y = 9 and
2x - 3y = 8/3
What does it mean by align a system of linear equation?When we talk about aligning a system of linear equations, we mean rearranging the equations so that the variables are in the same order and have the same coefficients. This is done to make it easier to apply methods for solving systems of equations, such as substitution or elimination.
In a system of linear equations, each equation typically involves two or more variables. The variables may have different coefficients in each equation, and they may appear in a different order. Aligning the system involves rearranging the equations in a way that puts the variables in the same order, with the same coefficients.
Align the variables in given the system of linear equations :
To align the variables in the given equations, we need to rearrange the second equation so that the coefficients of and are the same as in the first equation.
To align the variables in the equations, we need to rearrange the terms so that the x, y, and constant terms are all grouped together.
Starting with the first equation:
2x - 3y = 9
We can rearrange this as:
2x = 3y + 9
Now we can divide both sides by 2 to get x by itself:
x = (3/2)y + 4.5
Now let's move on to the second equation:
1-6x +9y = -7
We can rearrange this as:
-6x + 9y = -8
Next, we'll divide both sides by -3 to get x by itself:
2x - 3y = 8/3
Now both equations are in the form of:
ax + by = c
where a, b, and c are constants. The aligned equations are:
2x - 3y = 9
2x - 3y = 8/3
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A triangle has an area of 19.68 sqaure millimeteres and a height of 4.8 millimeteres. What is the length of the base?
Answer:
8.2mm
Step-by-step explanation:
Formula for area of triangle is 1/2 base x height
Since we are trying to find base, we must work in reverse.
19.68mm / 4.8 = 4.1mm (1/2 the base)
To find base we must multiply by 2
2 x 4.1mm = 8.2mm
Base = 8.2mm
Which statement about this figure is true?
This figure can be named as a parallelogram and a quadrilateral.
This figure can be named as a parallelogram and a rhombus.
This figure can be named as a parallelogram and a square.
This figure can be named only as a parallelogram.
Answer:
This figure can be named as a parallelogram and a quadrilateral.
Step-by-step explanation:
A 4-sided polygon is a quadrilateral.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Since this is the case here, this quadrilateral is a parallelogram.
Answer: This figure can be named as a parallelogram and a quadrilateral.