Answer:
15
Step-by-step explanation:
Plug the number into the equations
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


The total distance Tracy traveled was 15,000 feet assuming each unit represents 1,000 feet.
<h3>How to calculate the total distance?</h3>
The total distance is the sum of all the distance between stops.
Partial distances:
- Home to stop 1: 2,000 feet
- Stop 1 to 2: 4,000 feet
- Stop 2 to 3: 5,000 feet
- Stop 3 to 4: 4,000 feet
- Total distance: 15,000 feet
However, the real distance would be 10.63 units based on the locations in the grid.
- d=√(0−8)^2+(7−0)^2
- d=√8^2+7^2
- d=√64+49
- d=√113 =10.63 units
Learn more about feets in: brainly.com/question/15838370
The answer to your question is that it will equal 56 of them.
Answer:
4.6 is between 4 and 5
-2 1/3 is between -2 and -3
Step-by-step explanation:
That is the numbers around them in a number line