oliver is training for a marathon. In practice, he runs 15 kilometers in 72 minutes. What is the speed in kilometers per hour?

A shirt company has 3 designs each of which can be made with short or long sleeves . There are 7 color patterns available. How m

Arlecino [84]

Answer:

There are 42 different types of shirt available for this company.

Step-by-step explanation:

Given:

Number of design Company has = 3

Number of color pattern available = 7

Types of shirt (short or long sleeves) = 2

We need to find the number of different types of shirts are available from this company.

Solution:

the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).

framing in equation form we get;

the number of different types of shirts $3\times7\times2 =42$

Hence There are 42 different types of shirt available for this company.

5 0

3 years ago

It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

1. Lenny cleans 75 cars in 5 days. At this rate, how many days will it take him to wash 90 cars? *please I need some help

Ahat [919]

Answer: 6 days

Explanation: If he washes 75 cars in 5 days; and you need to find how many days it takes to wash 90 you do 75 divided by 5 which is 15; so he washes 15 cars in a day, then do 90 divided by 15 which is 6 days

8 0

3 years ago

What is two thirds equal to

Luden [163]

Answer:

2/3 = 0.6666666666666667 or just 67%.

Step-by-step explanation:

5 0

3 years ago

The Florida Fish and Wildlife Conversation Commission (FWC) plans to hire hunters to kill the Burmese python, an invasive specie

andrew-mc [135]

Complete Question