Answer:
The angle of x is 83°
Step-by-step explanation:
A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:
180° - (41° + 56°) = 83°
Complete Question
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capital consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed? Past data have indicated that the standard deviation of consumption of approximately 10 gallons.
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is
The confidence level is
%
Given that the confidence level is 95% the level of significance is mathematically represented as

%

Next we obtain the critical value of
from the normal distribution table , the values is 
The reason we are obtaining critical values of

instead of

is because

represents the area under the normal curve where the confidence level interval (

) did not cover which include both the left and right tail while

is just the area of one tail which what we required to calculate the sample size
Now the sample size is mathematically represented as
![n = \frac{[Z_{\frac{\alpha }{2} }] ^2 * \sigma ^2}{MOE^2}](https://tex.z-dn.net/?f=n%20%20%3D%20%20%5Cfrac%7B%5BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%5D%20%5E2%20%2A%20%20%5Csigma%20%5E2%7D%7BMOE%5E2%7D)
substituting values


Answer:

Step-by-step explanation:

Hope this helps!
Answer:
150
Step-by-step explanation:
200*.75 = 150