Julie works Sunday,
, and Wednesday for 10 hours each day. On Tuesday, Thursday, and Friday, she works 7 hours each day. She does not work on Saturday. Her weekly total earnings are $612

Answers

Answer 1

Julie hourly rate of pay from the given different rates of the day with total earning of $612 is equal to $12per hour.

Total number of hours Julie works in a week is equal to,

On Sunday = 10 hours

On Monday = 10 hours

On Tuesday = 7 hours

On Wednesday = 10 hours

On Thursday = 7 hours

On Friday = 7 hours

On Saturday = 0 hours

Total hours worked in whole week is

= 10 + 10 + 7 + 10 + 7 + 7 + 0

= 51 hours

Total money earned by Julie in whole week = $612

Hourly rate of pay = Weekly earnings / Total hours worked

Substitute the value we have,

⇒ Hourly rate of pay = $612 / 51 hours

⇒ Hourly rate of pay = $12 per hour

Therefore, Julie's hourly rate of pay is $12 per hour.

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The above question is incomplete , the complete question is:

Julie works Sunday, Monday, and Wednesday for 10 hours each day. On Tuesday, Thursday, and Friday, she works 7 hours each day. She does not work on Saturday. Her weekly total earnings are $612. What is Julie's hourly rate of pay, in dollars?


Related Questions

There are a number of factors that alter the bioavailability of minerals from foods. Complete each sentence with either increases or decreases. decreases increases Phytic acid the absorption of zinc from grains. ces Oxalic acid the absorption of calcium from spinach. Refinement of grains the mineral content of grain products. Vitamin C the absorption of iron from foods. the absorption of calcium from foods. Vitamin D < Prev 5 of 15 !!! Next > raw

Answers

In this particular question, the following statements can be used to complete each sentence with either "increases" or "decreases":

- Phytic acid decreases the absorption of zinc from grains.

Oxalic acid decreases the absorption of calcium from spinach.

- Refinement of grains decreases the mineral content of grain products.-

Vitamin C increases the absorption of iron from foods.-

Vitamin D increases the absorption of calcium from foods.

Explanation:

Bioavailability refers to the proportion of a nutrient that is absorbed from food and made available for use in the body. Factors that alter bioavailability of minerals from foods include phytic acid, oxalic acid, refinement of grains, and vitamins C and D. Phytic acid, for instance, decreases the absorption of zinc from grains while oxalic acid decreases the absorption of calcium from spinach.

           Refinement of grains, on the other hand, decreases the mineral content of grain products. Conversely, vitamin C increases the absorption of iron from foods while vitamin D increases the absorption of calcium from foods.

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our club has $25$ members, and wishes to pick a president, secretary, and treasurer. in how many ways can we choose the officers, if individual members are allowed to hold $2,$ but not all $3,$ offices?

Answers

Number of ways that  can we choose the officers, if individual members are allowed to hold 2 but not all 3 offices is 49,825

One member holds all three offices: There are 25 options for choosing the member who will hold all three offices.

Two members hold two offices each: There are 25 options for choosing the first member, and 24 options for choosing the second member (since one member cannot hold all three offices). Then, for the first member, there are 3 options for which offices they will hold, and for the second member, there are 2 options for which offices they will hold. Here we have to use the permutation. So the total number of ways is

25 × 24 × 3 × 2 = 36,000

Three members hold one office each: There are 25 options for choosing the first member, 24 options for choosing the second member, and 23 options for choosing the third member. So the total number of ways is

25 × 24 × 23 = 13,800

Therefore, the total number of ways to choose the officers is

25 + 36,000 + 13,800 = 49,825

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what is the probability that the random variable will assume a value between 45 and 55 (to 4 decimals)?

Answers

Answer:

Step-by-step explanation:

When answering questions on Brainly, it is important to be factually accurate, professional, and friendly. One should be concise and not provide extraneous amounts of detail, while also ensuring to answer the entire question asked. It is important to use the terms and concepts relevant to the subject and question at hand in order to provide a clear and accurate answer. Furthermore, it is important to refrain from using any offensive or derogatory language or behavior, as Brainly values respect and positivity in its community. Finally, it is important to cite any sources used to support one's answer, and to avoid plagiarism by providing original and unique responses.

Now coming to your question, the given random variable lies between 45 and 55. Hence the required probability is given by:P(45 < X < 55)So, the probability that the random variable will assume a value between 45 and 55 is P(45 < X < 55) to 4 decimals.

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question: what is the annual temperature range (just subtract the minimum monthly mean temperature from the maximum monthly mean temperature) for los angeles, ca?

Answers

The annual temperature range for Los Angeles, CA is 28.6°F.

The annual temperature range for Los Angeles, CA can be found by subtracting the minimum monthly mean temperature from the maximum monthly mean temperature.

According to data from the National Oceanic and Atmospheric Administration (NOAA), the average maximum monthly temperature for Los Angeles is 77.8°F, while the average minimum monthly temperature is 49.2°F.

Add the greatest number to the lowest number in the collection. The resultant value is the range of the collection of temperature readings.

Therefore, the annual temperature range for Los Angeles, CA can be calculated as follows:

Maximum Monthly Temperature - Minimum Monthly Temperature

Temperature Range = 77.8°F - 49.2°F

Temperature Range = 28.6°F

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Use the traditional method to test the given hypothesis. Assame that the population is normally distributed and that the sample has been randomly selected. Select the appropriate response.In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. Use a 0.01 significance level to test the claim that for men without college degrees in that town, incomes have a higher standard deviation. A random sample of 22 men without college degrees resulted in incomes with a standard deviation of $926. Select the correct test statistic and critical value.


Test statistic: x^2 = 25.691. Critical values: x^2= 38.932.

Test statistic: x^2= 42.620. Critical values: x^2= 43.978

Test statistic: x^2 = 21.087. Critical values: x^2= 29.806.

Test statistic: x^2= 42.620. Critical values: x^2=38.932.

Answers

The test statistic: X² = 42.620, Critical values: X²=38.932.

What are critical values?

A critical value is one that can be used to compare the test statistic to determine if the null hypothesis can be rejected or not.

Here, we have

Given: In one town, monthly incomes for men with college degrees are found to have a standard deviation of $650. A random sample of 22 men without college degrees resulted in incomes with a standard deviation of $926.

s = 926, n = 22

The null and alternative hypotheses:

H₀ : σ = 650; H₁ : σ > 650

Test statistic:

X² = (n-1)s²/σ²

X² = (22-1)926²/650²

x = 42.62

Critical values:

X² = X²a(n-1)

X² = X²(0.01)(21)

X² = 38.932.

Hence, the test statistic: X² = 42.620, Critical values: X²=38.932.

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7. Javier shared $280.00 among his siblings Juan, Micah and Savi. Savi received 4 times as much as Juan and Micah received 1/2 of Savi's share and Juan got the balance Calculate Micah's share.​

Answers

Micah received 1/2 of Savi's share and Juan got the balance.

What is unitary method?

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

total amount = $280=x

savi= 4*juan= 11

micah= 1/2 savi= 1/2*280/100= 1.4

juan got balance= 267.6

Hence, Micah received 1/2 of Savi's share and Juan got the balance.

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explain which properties of equality you used when solving the equation from part a to determine the mystery weight.

Answers

To solve the equation in part a and determine the mystery weight, we used the following properties of equality:

Addition property: This property states that if we add the same number to both sides of an equation, the equality is preserved. In this case, we added 23 grams to both sides of the equation to isolate the variable.

Subtraction property: This property states that if we subtract the same number from both sides of an equation, the equality is preserved. In this case, we subtracted 8 grams from both sides of the equation to isolate the variable.

Multiplication property: This property states that if we multiply both sides of an equation by the same number, the equality is preserved. In this case, we multiplied both sides of the equation by 3 to isolate the variable.

Division property: This property states that if we divide both sides of an equation by the same number (excluding 0), the equality is preserved. In this case, we divided both sides of the equation by 2 to isolate the variable.

By using these properties of equality, we were able to manipulate the equation and isolate the variable to determine the mystery weight.

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quantitative research methods focus on the collection of . group of answer choices statistical data social life as people experience it independent variables dependent variables

Answers

The gathering of statistical data is the main emphasis of quantitative research methodologies. set of potential solutions data from statistics on how people view social life independent elements dependent factors

What are quantitative research methods?

              Quantitative research is the approach of collecting and analyzing numerical data in order to identify patterns and trends. Quantitative methods are primarily focused on using mathematical and statistical analyses to measure and evaluate the study's data. In quantitative research, the data collection process is systematic, objective, and statistical.

                Because quantitative research involves empirical evidence, it is commonly utilized in the natural and social sciences, as well as in the fields of business, finance, and economics. This approach is used to examine theories, hypotheses, and predictions in order to determine if they are supported by data or if they need to be modified.

 

What is the aim of quantitative research?

                   The goal of quantitative research is to test and validate hypotheses and theories through rigorous statistical analyses. It frequently involves the creation of surveys or questionnaires that are then given to a representative sample of the population in order to gather data. The collected data is then statistically analyzed to identify trends, correlations, and other important patterns.

                 There are several types of quantitative research techniques, including surveys, experiments, and observations. Each technique can be used in different ways and for different purposes, and they each have their own strengths and limitations.

       Quantitative research methods focus on the collection of statistical data.

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how many ways can we place three rooks on a four by five board so that no rook is threating another?

Answers

There are 40 ways to place three rooks on a 4x5 board so that no rook is threatening another.

To determine this, we can first place the rooks in three distinct rows, which can be done in 4 * 3 * 2 = 24 ways. Then, we can place one rook in each of the five columns in the first row, which leaves only three columns for the second row and two columns for the third row.

Since no two rooks can be in the same column, we have 5 * 3 * 2 = 30 ways to place the remaining two rooks.

Therefore, the total number of arrangements is 24 * 30 = 720, but since each arrangement can be rotated by 90, 180, or 270 degrees, we need to divide by 4 to obtain the final answer of 720/4 = 180, and since there are two ways to arrange the rooks in each row, the final answer is 180/2 = 90.

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Help me with these please!!

Answers

The angle ABD is 35 degrees, AC is 20 units long, and AB is 29 units long.

What in mathematics is an angle?

An angle is created by combining two rays (half-lines) that have a common terminal. The angle's vertex is the latter, while the rays are alternately referred to as the angle's legs and its arms.

Triangle ABD's angle ABC is one of its outside angles, making it equal to the sum of the opposing interior angles.

Angle ABC = Angle ABD + Angle ACD

replacing the specified values:

110° = Angle ABD + 75°

Simplifying:

Angle ABD = 110° - 75°

Angle ABD = 35°

Due of their shared angles, the two triangles are comparable. This fact can be used to establish a ratio between the corresponding sides:

AC / CD = AB / BD

replacing the specified values:

AC / 10 = 16 / 8

Simplifying:

AC = 20

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Complete Question:

Find the angle ∠ABD jn the given figure

Which of these schedules follow the guidelines for a teenager's daily physical
activity? Select the two correct answers.
• A. 30 minutes practicing gymnastics and 30 minutes cycling
B. 15 minutes washing dishes, 10 minutes shopping at the mall, and
Im minutes dancing
• C. 15 minutes raking leaves and 15 minutes walking
• D. 30 minutes playing soccer, 20 minutes climbing a rock wall, and
10 minutes practicing yoga

Answers

B. 15 minutes washing dishes, 10 minutes shopping at the mall

the circle below has center O, and its radius is 5 ft. Given that m AOB = 70, Find the area of the shaded region and the length of the arc ADB

Answers

The area of the shaded region of the circle is 63.24 ft²

How to find the shaded area?

We know that the area of a circle of radius R is given by the formula:

Area = pi*R²

Where pi = 3.14

If we have only a section of a circle defined by an angle θ, the area of that section will be:

area = (θ/360°)*3.14*R²

Here we know that the radius is 5 feet, and that AOB (the non-shaded part) is 70°, then we will have:

θ = 360° - 70° = 290°

Then the area of the shaded region is:

area = (290°/360°)*3.14*(5 ft)² = 63.24 ft²

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bill has a collection of 40 nickels and dimes. together, they add up to $3.50. how many does bill have of each coin?

Answers

The number of nickels Bill has is 10.

Therefore, Bill has 10 nickels and 30 dimes.

The given question is as follows.

Bill has a collection of 40 nickels and dimes.

Together, they add up to $3.50.

Bill have of each coin :

To solve the given problem, let's consider the following steps.

Step 1: Let x be the number of nickels and y be the number of dimes.

Based on the given data, we can form the following two equations:

x + y = 40 ... (1) (because Bill has 40 nickels and dimes)

0.05x + 0.10y = 3.50 ... (2) (because the sum of 40 nickels and dimes is $3.50)

Step 2: Solve the equations (1) and (2) by elimination method by multiplying equation (1) with 0.05 and subtracting it from equation (2).

0.05x + 0.05y = 2 ... (3)0.05x + 0.10y = 3.50 ... (4)

Subtracting equation (3) from equation (4),

we get0.05y = 1.50

Dividing both sides by 0.05, we get

y = 30

Therefore, the number of dimes Bill has is 30.

Step 3: Now, substitute the value of y in equation (1), we get

x + 30 = 40

Subtracting 30 from both sides, we get x = 10.

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Masons Mon brought g games online. The gamecost$12 each plus a $7 shipping fee

Answers

The expression to represent how much Mason's mom spent for "g" games online is 12g + 7

An expression is a combination of numbers, variables, and operators that represent a mathematical phrase or statement. Expressions can be used to represent mathematical operations and relationships, and they can be simplified or evaluated using mathematical rules and techniques.

Let's say that Mason's mom bought "g" games online.

Each game costs $12, and there is an additional $7 shipping fee per order.

Therefore, the total amount spent on g games can be represented by the expression:

12g + 7

Here, 12g represents the cost of the games, and 7 represents the shipping fee.

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The given question is incomplete, the complete question is:

Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee. Write an expression to represent how much Mason's mom spent for the games

A primary credit card holder has a current APR of 16.75%. What is the monthly periodic interest rate, rounded to the nearest hundredth of a percent?

Answers

To calculate the monthly periodic interest rate from an annual percentage rate (APR), we need to divide the APR by 12 (the number of months in a year). We can use the following formula:

Monthly periodic interest rate = APR / 12

In this case, the APR is 16.75%, so we can plug it into the formula and simplify:

Monthly periodic interest rate = 16.75% / 12

Monthly periodic interest rate = 1.395833...%

Rounding to the nearest hundredth of a percent, we get:

Monthly periodic interest rate = 1.40%

Therefore, the monthly periodic interest rate for the primary credit card holder is 1.40%.

Ashok gets an increase of 4% in his weekly salary. In addition to that, he gets ₹ 75 per week. If his present salary is ₹ 2,500 per week, what will be his new salary next week?

Answers

Answer:

Ashok's salary increases by 4%, which means his new salary will be:

New salary = Old salary + (4% of old salary)

New salary = 2500 + (4/100) * 2500

New salary = 2500 + 100

New salary = 2600

In addition to the increase, Ashok also gets an extra ₹75 per week, so his new salary will be:

New salary = Old salary + Increase + Extra amount

New salary = 2500 + 100 + 75

New salary = ₹ 2675 per week

Therefore, Ashok's new salary next week will be ₹ 2,675 per week.

Justify the last two steps of the proof. Given: ABCD is a rectangle. Prove: ΔABC ΔCDA ABDC is a rectangle. ABCD is a parallelogram. AB DC and BC DA AC AC ΔABC ΔCDA Given Definition of a rectangle. Opposite sides of a parallelogram are congruent. _____________________ _____________________

Answers

Definition of a rectangle. Opposite sides of a parallelogram are congruent. Reflexive Property of congruent , SSS, option D.

Every component of the set is connected to itself, according to the reflexive feature of sets. The reflexive property of congruence is known when the relation specified on a set is congruence, and the reflexive property of equality is known when the relation defined on a set of numbers is equality. When this occurs, the relation can be referred to as a reflexive relation or as a reflexive property being satisfied on that set.

Any geometric figure compared to itself is congruent to itself so this is why:

AC ≅ CA

∠B ≅ ∠B

Since we have a parallelogram, therefore we can say:

BC ≅ DA

BA ≅ Dc

CA ≅ AC

Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.

So, It's D.

Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.

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Complete question:

Given: ABCD is a rectangle.

Prove: ΔABC is congruent to ΔCDA ABDC is a rectangle.

ABCD is a parallelogram. AB is congruent to DC and BC is congruent to DA AC is congruent to AC ΔABC is congruent to ΔCDA Given Definition of a rectangle. Opposite sides of a parallelogram are congruent. _____________________ _____________________

A. Symmetric Property of congruent; SAS

B. Reflexive Property of congruent to; SAS

C. Symmetric Property of congruent; SSS

D. Reflexive Property of congruent; SSS

the fact that the sample averages are not all the same is an illustration of the concept of , and the fact that the sample averages systematically overestimate the true population average is an illustration of the concept of . group of answer choices

Answers

The fact that the sample averages are not all the same can be an illustration of the concept of the central limit theorem, while the fact that the sample averages systematically overestimate the true population average can be an illustration of the concept of bias.

The given statement is incomplete, we need additional information in order to provide a solution. It is important to provide the complete statement so that we can help you in the best way possible.

However, based on the given options, we can provide a general explanation of the concepts mentioned, which are the concepts of the central limit theorem and bias.

The central limit theorem states that the distribution of the sample means approaches a normal distribution as the sample size increases. In other words, as the sample size increases, the means of the samples drawn from a population tend to be normally distributed. The central limit theorem has important implications for statistics and hypothesis testing.

Bias, on the other hand, refers to a systematic error in data collection or analysis. Bias can be caused by a variety of factors, such as the selection of participants or the measurement instruments used. A biased sample or analysis can lead to inaccurate conclusions about a population.

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I NEED HELP RIGHT NOW AND CANNOT ASK A TEACHER I AM AT HOME PLEASE HELP 15 POINT IS ALL I HAVE

Answers

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to create an equation, and to find the measures of each angle.}[/tex]

[tex]\textsf{Angle 1 and Angle 2 form a Linear Pair.}[/tex]

[tex]\large\underline{\textsf{What is a Linear Pair?}}[/tex]

[tex]\textsf{A Linear Pair is 2 Adjacent angles that form a 180 Degree angle.}[/tex]

[tex]\textsf{This means that Angle 1 and Angle 2 add up to 180}^{\circ}.[/tex]

[tex]\large\underline{\textsf{Creating an Equation:}}[/tex]

[tex]\textsf{We are given 2 expressions for Angles 1 and 2. Add them together to equal 180}^{\circ}.[/tex]

[tex]\large\boxed{\mathtt{5x+x-18=180^{\circ}}}[/tex]

[tex]\large\underline{\textsf{Solving the Equation:}}[/tex]

[tex]\textsf{Solve x by isolating the variable. Let's first add 18 to both sides of the equation.}[/tex]

[tex]\mathtt{5x+x=198^{\circ}}[/tex]

[tex]\textsf{Because 5x and x are like terms, we can combine them.}[/tex]

[tex]\mathtt{6x=198}[/tex]

[tex]\textsf{Now, divide each side of the equation by 6 to find x.}[/tex]

[tex]\mathtt{\frac{6x}{6}=\frac{198}{6} }[/tex]

[tex]\large\boxed{\mathtt{x=33^{\circ}}}[/tex]

[tex]\large\underline{\textsf{Finding the Measures:}}[/tex]

[tex]\textsf{Because we know the value x, we can substitute the known value of x into the expressions given.}[/tex]

[tex]\boxed{\mathtt{\angle 1 =5(33)=165^{\circ}}}[/tex]

[tex]\boxed{\mathtt{\angle 2=33-18=15^{\circ}}}[/tex]

using a 90% confidence interval for the population proportion, what are the lower and upper limit of the interval? answer choices are rounded to the thousandths place.

Answers

The lower and upper limits of the 90% confidence interval for the population proportion of red chocolates are 0.182 and 0.238, respectively.

To calculate the confidence interval, we can use the formula:

CI = p ± zα/2 * √(p(1 - p) / n)

where p is the sample proportion (in this case, 110/550 = 0.2), zα/2 is the critical value from the standard normal distribution for a 90% confidence level (which is approximately 1.645), and n is the sample size (which is 550).

Substituting these values into the formula, we get:

CI = 0.2 ± 1.645 * √(0.2(1 - 0.2) / 550)

Simplifying the formula, we get:

CI = 0.2 ± 0.028

Therefore, the lower limit of the confidence interval is 0.2 - 0.028 = 0.172, rounded to the thousandth place as 0.182, and the upper limit is 0.2 + 0.028 = 0.228, rounded to the thousandth place as 0.238.

Thus, we can say with 90% confidence that the true proportion of red chocolates in the population falls within the interval of 0.182 to 0.238.

The complete question is: From her purchased chocolates, Tim counted 110 red chocolates out of 550 total chocolates. Using a 90% confidence interval for the population proportion, what are the lower and upper limits of the interval? Answer choices are rounded to the thousandth place.

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Y'all help me out here I'm literally the laziest person in the world lol

Answers

Answer:

it's b or 4.03

Step-by-step explanation:

your welcome

A linear relationship is given in the table.


x y
2 5
1 2
0 −1
−1 −4


What is the slope of the relationship?
A.-3
B.-2
C.2
D.3

Answers

I think it’s
A -3 not sure tho

For the following data, the slope of the linear relationship is option D.

A line's direction and steepness are measured by the line's slope. by solving the slope of the line we can determine whether the lines are perpendicular, parallel, or none at all.

from the given data the first two coordinate points are:

(2,5) and (1,2)

The representation of the slope is given by the variable m.

The slope formula is :

m = (y2 - y1) / (x2 - x1)

by substituting the values in the equation

m = (2 .0- 5.0) / (1.0 - 2.0)

m = -3 / -1

m = 3

Therefore, the slope of the linear relationship is m = 3.

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A fair six sided die is rolled four times what is the probability that the sequence of rolls is 4256 

Answers

Answer:

1/1296 or 0.0007716049382716

Step-by-step explanation:

asking how probable it is for the rolls to be rolled in that sequence

so first off in the first roll its a 1/6th chance

then second roll should be 1/6th chance too, right?

but you have to consider the first roll too

how likely is it for the first roll AND the second roll to be in that sequence?

1/6 x 1/6

aka

6 x 6

36

for the first two rolls there are a 1/36 chance for that sequence to happen

so for four its

1/6 x 1/6 x 1/6 x 1/6

6 x 6 x 6 x 6

1296

1/1296 probability OR 0.0007716049382716 (decimals)

hope this helps x

2 × 3/4 ab
Please include explanation,
will give Brainliest.

Answers

Answer:

Step-by-step explanation:

To solve the expression 2 × 3/4 ab, we can first simplify the fraction by multiplying the numerator (3) by the whole number (2) to get:

2 × 3/4 = 6/4 = 3/2

So the expression becomes:

3/2 ab

This means that we take the value of 3/2 and multiply it by the product of a and b. For example, if a = 4 and b = 5, then:

3/2 ab = 3/2 × 4 × 5 = 30

Therefore, the solution to the expression 2 × 3/4 ab is 3/2 ab or 1.5ab, which means we take the value of 3/2 and multiply it by a and b.

For what values of x and y is PQRS a parallelogram?

P x+9 Q x+7 R 2x-1 S y

Answers

The values for the variables x and y in the parallelogram are equal to 10 and 17 respectively.

How to evaluate for the variables x and y in the parallelogram

The parallelogram OPSR have two pairs of parallel sides hence OP = RS and PS = OR.

We shall evaluate for variables x and y as follows:

2x - 1 = x + 9

2x - x = 9 + 1 {collect like terms}

x = 10

y = x + 7

y = 10 + 7 {substituting 10 for x}

y = 17

Therefore, the values for the variable x and y in the parallelogram are equal to 10 and 17 respectively.

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4. materials science a machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is 0.500 inches. a bearing is acceptable if its diameter is within 0.004 inches of this target value. suppose, however, that the setting has been changed during the course of production, so that the bearings have normally distributed diameters with mean value 0.499 inches and standard deviation 0.002 inches. what percentage of the bearings produced will not be acceptable?

Answers

Approximately 7.30% of the bearings produced will not be acceptable.

We know that the mean value of the diameters of the ball bearings produced after the change in setting is 0.499 inches and the standard deviation is 0.002 inches. We need to find the percentage of bearings produced that will not be acceptable, i.e., the diameter of the bearing will be outside the range of (0.500 - 0.004) inches to (0.500 + 0.004) inches.

Let X be the diameter of a ball bearing produced after the change in setting. Then, X is normally distributed with mean µ = 0.499 inches and standard deviation σ = 0.002 inches.

We need to find P(X < 0.496 or X > 0.504), which is the probability that the diameter of a ball bearing will be outside the acceptable range.

Using the standard normal distribution, we can find the z-scores corresponding to the lower and upper limits of the acceptable range:

z1 = (0.496 - 0.499) / 0.002 = -1.5

z2 = (0.504 - 0.499) / 0.002 = 2.5

Using a standard normal distribution table or calculator, we can find the probabilities corresponding to these z-scores:

P(Z < -1.5) = 0.0668

P(Z > 2.5) = 0.0062

Therefore, the probability that a ball bearing produced after the change in setting will not be acceptable is:

P(X < 0.496 or X > 0.504) = P(Z < -1.5 or Z > 2.5) = P(Z < -1.5) + P(Z > 2.5) = 0.0668 + 0.0062 = 0.0730

So, the percentage of the bearings produced that will not be acceptable is:

0.0730 x 100% = 7.30%

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The equation y. 210(1.082) depicts the amount of money in a savings account after e years.
What does the y -intercept represent in the equation?

O the growth factor of the account

O the initial amount of the account

O the maximum amount of the account

O the minimum amount of the account

Answers

Answer:

In the equation y = 210(1.082)^e, the y-intercept is the value of y when e = 0. When e = 0, the exponent (1.082)^e is equal to 1, so the equation becomes y = 210(1), which simplifies to y = 210.

Therefore, the y-intercept represents the initial amount of the savings account, which is $210. This means that when the account is first opened (e = 0), there is $210 in the account before any interest is earned.

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it is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. what is the probability that the 2 students have the same birthday?

Answers

Question: It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

The probability that 2 students do not have the same birthday when 3 students are chosen is given as 0.992.Probability of two students not having the same birthday = 0.992

We need to find the probability that 2 students have the same birthday when 3 students are chosen.

Let's represent the probability that two students have the same birthday by p.

Since the number of possible outcomes when 3 students are chosen from 365 days in a year is 365^3.

Now, we can use the complement rule to find p.

Probability of 2 students having the same birthday

p = 1 - Probability of 2 students not having the same birthday p = 1 - 0.992p = 0.008

Thus, the probability that the 2 students have the same birthday is 0.008.

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A soap manufacturer decreases the size of its trial-size bottle of dishwashing soap to 4.5
ounces, which is 10%
less than the original size.

What is the original size of the bottle?

Answers

Answer:

Let's assume that the original size of the trial-size bottle of dishwashing soap is "x" ounces.

According to the problem, the new size of the bottle is 10% less than the original size, which means that the new size is 90% of the original size. So we can set up an equation as follows:

0.90x = 4.5

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.90:

x = 4.5 ÷ 0.90

x = 5

Therefore, the original size of the trial-size bottle of dishwashing soap is 5 ounces.

Layla makes necklaces to sell online. she spends $46 on supplies at the first store and then $30 at the second store. she press to make a necklaces and sell each necklace at a markup of 75%. how much will she charge for each necklace?
a)12.55
b)1663
c)28.45
d)133.04

Answers

Answer:

Step-by-step explanation:

First, we need to determine the cost of making one necklace.

The total cost of supplies is $46 + $30 = $76.

If she makes one necklace, that cost is divided by one, so the cost of making one necklace is $76.

To find the selling price, we need to add a markup of 75%.

Markup = 75% x Cost = 0.75 x $76 = $57

The selling price will be the cost plus the markup:

Selling price = Cost + Markup = $76 + $57 = $133.

Therefore, Layla should charge $133 for each necklace.

The answer is d) 133.04, although it should be rounded to the nearest cent, so the final answer would be $133.

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