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3 years ago

Which expression is equivalent to #

Mathematics

1 answer:

vampirchik [111]3 years ago

6 0

Answer: the first one

Step-by-step explanation:

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At the end of each year, how much money would you earn in interest if you invested $3,500 and earned 4.5% simple interest?

Stels [109]

$157.50 would be the amount that you earn in interest

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4 years ago

The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard devia

maksim [4K]

6.68% of the students scored at least 19 points on this test while the 85 percentile has a test score of 24.08 points

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=22,standard \ deviation (\sigma)=2\\\\For\ x>19:\\\\z=\frac{22-19}{2}=1.5$

P(x > 19) = P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668

6.68% of the students scored at least 19 points on this test

b) 85 percentile corresponds to a z score of 1.04

$z=\frac{x-\mu}{\sigma}\\\\1.04 =\frac{x-22}{2} \\\\2.08=x-22\\\\x=24.08$

The 85 percentile has a test score of 24.08

Find out more at: brainly.com/question/25012216

7 0

3 years ago

Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to

Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

$\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24$

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

$\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}$

Hence, it would take 8 hours if all three paint together.

3 0

3 years ago

As with simple linear regression, we desire the residuals to (select all that apply) have large variance. have constant variance

dimulka [17.4K]

As with simple linear regression, we desire the residuals to:

Have constant variance.
Have a mean close to 0.

<h3>What is a simple linear regression?</h3>

It should be noted that a simple linear regression simply means a model that describes the relationship between a dependent variable and an independent variable.

In this case, as with simple linear regression, we desire the residuals to have constant variance and have a mean close to 0.

Learn more about regression on:

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5 0

2 years ago

A seller buys an item from a manufacturer for $9,500. He increases the cost by 5 percent. What is the markup value?

Lynna [10]

5% of 9,500 is 475 so you would add them together. 9,500 + 475 = 9,975 so 9,975 is the answer

5 0

3 years ago

Read 2 more answers