I would say 13 would be your answer. Hope this helps!
Hello!

- Diameter of the circle = 12 cm

Area of the Circle

A=πr²
Hey! We have the diameter, not the radius.
Don't panic. In order to find the radius, we should divide the diameter by 2.
So, the radius is 6.
Plug it into the formula:
A=π(6)²
A=π(36)
A≈113 cm
Hope it helps!
Good luck and enjoy your day!
-SnowFlake
Answer:
His 95% confidence interval is (0.065, 0.155).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

His 95% confidence interval is (0.065, 0.155).
We first do:
∅ = sin⁻¹(0.3)
∅ = 17.5°
To go into the second quadrant, we add 90°.
∅ = 17.5 + 90
= 107.5°
The answer is A.