51 degrees should be the correct answer
If it is a triangle h is height and b is base.
t = mr^2/3
Divide both sides by r^2/3
m = t / r^2/3
When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.
For example:


When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.
For example:



You multiply 3 into each exponent in the numerator and the denominator

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

When you have something like this:

You subtract the exponents together, so:

Your answer is the second option
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As,
= 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263