Given:
The angles are:
Example 
1. 
2. 
3. 
4. 
5. 
To find:
The complimentary angle of the given angles.
Solution:
If two angles are complimentary, then their sum is 90 degrees.
Example: Let x be the complimentary angle of , then
Similarly,
1. The complimentary angle of is:
2. The complimentary angle of is:
3. The complimentary angle of is:
4. The complimentary angle of is:
5. The complimentary angle of is:
Therefore, the complimentary angles of 
are 
respectively.
You have a 16.7% chance of rolling doubles
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
Use cymath it gives you the answer :)
