Sam is handing out advertisements for an upcoming event. He starts with a box of 5,000 advertisements and

Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.

<h3>Central Limit Theorem</h3>

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.

To learn more about the Central Limit Theorem, you can check brainly.com/question/24663213

4 0

2 years ago

Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi

pshichka [43]

Answer:

The amount they charged to wash a car is $6 and vacuum a car is $2.

Step-by-step explanation:

Given:

Trisha and Byron are washing and vacuuming cars to raise money for a class trip.

Trisha raised $38 washington 5 cars and vacuuming 4 cars.

Byron raises $28 by washing 4 cars and vacuuming 2 cars.

Now, to find the amount they charged to wash a car and vacuum a car.

Let the amount charged for washing a car be $x.$

And the amount charged for vacuuming a car be $y.$

So, the total amount Trisha raised:

$5x+4y=38.$ .......(1)

And, the total amount Byron raised:

$4x+2y=28.$

Now, to get the amount they charged to wash a car and vacuum a car we use elimination method:

$5x+4y=38\\4x+2y=28......\times 2$

$5x+4y=38\\8x+4y=56$

$-3x=-18$

$3x=18$

Dividing both sides by 3 we get:

$x=6.$

Amount charged to wash a car = $6.

Now, putting the value of $x$ in equation (1) we get:

$5(6)+4y=38.$

$5\times 6+4y=38$

$30+4y=38.$

Subtracting both sides by 30 we get:

$4y=8.$

Dividing both sides by 4 we get:

$y=2.$

Amount charged to vacuum a car = $2.

Therefore, the amount they charged to wash a car is $6 and vacuum a car is $2.

5 0

4 years ago

Draw 8 lines that are between 1inch and 3 inches long

Alex787 [66]

This is not something we can really help you with, you'll have to do on your own paper. Just get a ruler and draw 8 different lines that measure 1-3 inches.

5 0

4 years ago