Answer:
6546 students would need to be sampled.
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 z-score that has a p-value of
.
The margin of error is:

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.
This means that 
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?
n students would need to be sampled, and n is found when M = 0.01. So






Rounding up:
6546 students would need to be sampled.
Answer:
x ≈ 40.0°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x =
=
=
, then
x =
(
) ≈ 40.0° ( to the nearest tenth )
The line crossing the two parallel lines forms an allied angle
So using the theory “allied angles add up to 180 degrees” we can find x
76 + x =180
x= 180-76
x=104 (Option B)
The correct product of (6x+2)2 = 36x2 + 24x + 4
This is how to get this:
The equation is (a+b)2 = (a+b) (a+b). So, when you apply this to your equation, you get this:
(6x+2)2 = (6x+2) (6x+2) = 36x2 + 12x + 12x + 4 = 36x2 + 24x + 4
Answer:
-25
Step-by-step explanation:
Just divide -125 with 5 to get the answer(-25)