Answer:
![\sigma^2 = 3^2 \frac{10-1}{10}= 8.10](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%203%5E2%20%5Cfrac%7B10-1%7D%7B10%7D%3D%208.10)
Step-by-step explanation:
For this case we have a sample of n =10 and we have the following statistics:
![\bar X = 37.3 , s= 3](https://tex.z-dn.net/?f=%5Cbar%20X%20%3D%2037.3%20%2C%20s%3D%203)
And we want to estimate the population variance. We need to remember that the population variance is given by this formula:
![\sigma^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}](https://tex.z-dn.net/?f=%5Csigma%5E2%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2%7D%7Bn%7D)
And the sample variance is given by:
![s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}](https://tex.z-dn.net/?f=%20s%5E2%20%3D%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5En%20%28X_i%20-%5Cbar%20X%29%5E2%7D%7Bn-1%7D)
And we can find a formula for the population variance in terms of the sample deviation like this:
![\sigma^2 = s^2 \frac{n-1}{n}](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%20s%5E2%20%5Cfrac%7Bn-1%7D%7Bn%7D)
And replacing we got:
![\sigma^2 = 3^2 \frac{10-1}{10}= 8.10](https://tex.z-dn.net/?f=%20%5Csigma%5E2%20%3D%203%5E2%20%5Cfrac%7B10-1%7D%7B10%7D%3D%208.10)
The given answer should be "3/2", its because "32" is not possible in anyway..
tan C = sin C / cos C
Where sin C = 3 / 3.61
And
cos C = 2 / 3.61
Now
tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 /
2) = 3 / 2
<span>Thus tan C is the correct choice. </span>
Answer:
It should be D.
Step-by-step explanation:
The first one, the opposite of any negative number is the same number but positive...and vise versa.