Answer:
The sample required is 
Step-by-step explanation:
From the question we are told that
The standard deviation is 
The margin of error is 
Given that the confidence level is 99% then the level of significance is mathematically evaluated as



Next we will obtain the critical value
from the normal distribution table(reference math dot armstrong dot edu) , the value is

The sample size is mathematically represented as
![n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
substituting values
![n = [ \frac{ 2.58 * 9 }{2} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7B%202.58%20%2A%20%209%20%7D%7B2%7D%20%5D%5E2)

Answer:3.81 centimeters
Step-by-step explanation:All you have to do is to convert inches into centimeters
So 1 inch=2.54cm
Therefore 1.5inches=(1.5/1)×2.54cm
=3.81cm
The answer is B. y = -1/5x +1/2.
EXPLANATION
First solve for the slope:

After finding the slope, look for the linear equation with the same value of m (parallel equation).
Answer:
The volume of the box is 
Step-by-step explanation:
we know that
The volume of the box is equal to

where
L is the length of the box in inches
W is the width of the box in inches
H is the height of the box in inches
we have

substitute in the formula




Answer:
Size 50
Step-by-step explanation:
You should choose the larger sample size. This is because if you take the mean, it will help to cancel out outliers. For instance, most people exercise half an hour. With sample size of 10, there might be one person who doesn't exercise, thus dragging down the mean. A larger sample size would have a greater ratio of "average" people.