A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only wants a 5% margin of error at a 99.5% confidence level, what size of sample is needed?

900

Step-by-step explanation:

Margin of error = critical value × standard error

The margin of error is given to be 0.05.

At 99.5% confidence, the critical value is z = 3.

The standard error for a proportion is √(pq/n).  Since p is not given, we will assume p = 0.5.

0.05 = 3 √(0.5 × 0.5 / n)

n = 900

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

2.83941151 would be the answer you're looking for! : )