Suppose a population contains 80,000 people. all else being equal, a study based on a population sample that includes which of the following numbers of respondents would be the most reliable?

a.8000
b.8
c.800
d.80

A.8000

Step-by-step explanation:

In statistics , the largest possible sample gives the most reliable results.

[ Since a large sample could have more variation as compare to the small sample.]

Given : A a population contains 80,000 people.

All else being equal, a study based on a population sample that includes .

Given sample sizes :  A.8000    B.8    C.800  D.80

Clearly 8000 is the largest number .

It means numbers of respondents would be the most reliable = 8000

Hence, A is the correct answer.

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.