Answer: 2285
Step-by-step explanation:
Formula to find the sample size is given by :-

, where p = prior estimate of population proportion.
E= Margin of error.
= z-value for confidence interval of c.
Given : Confidence interval : 95%
From the z-value table , the z-value for 95% confidence interval = 
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.
i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61
[∵ sample proportion is the best estimate for population proportion.]
Margin of error : E= 2%=0.02
Now, the required minimum sample size would be :-

Simplify ,

Thus , we need to survey <u>2285</u> Americans .
Answer:
5/6
Step-by-step explanation:
You write the question as such: 5/9 divided by 2/3.
After that, you keep the first fraction, flip the sign and the fraction.
You will get: 5/9 multiplied by 3/2.
When you get this, you then cross multiply and simplify as such.
5/3 multiplied by 1/2.
5/6 would be your solution.
Recall that all three angles in a triangle equals 180.
Knowing this, we just have to add up all the angles and figure out what the value 'x' is.
(x-22 + x-17 + 3x+19) = 180
Simplify:
5x - 20 = 180
Add 20 to both sides:
5x = 200
Divide both sides by 5:
x = 40
Now that we found the value for x, we need to solve for angle A.
Simply input the value of 'x' into angle A's equation:
40 - 22 = 18
Angle A = 18 degrees
Good luck! If you need me to explain anything, just ask :))
-T.B.
Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is

It was given that, the area of this base is 81 in²

Take positive square root:

Answer:
The answer is 10.
Step-by-step explanation:
I'm certain this is correct. :D