Answer: 183
Step-by-step explanation:
Given : A pilot sample of 50 voters found that 33 of them intended to vote in the election.
i.e. ![\hat{p}=\dfrac{33}{50}=0.66](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B33%7D%7B50%7D%3D0.66)
and the voters sampled = 50
Significance level : ![\alpha=1-0.99=0.01](https://tex.z-dn.net/?f=%5Calpha%3D1-0.99%3D0.01)
Critical value : ![z_{\alpha/2}=2.576](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D2.576)
Margin of error:E = 0.08
The formula to find the sample size is given by :-
![n=\hat{p}(1-\hat{p})(\dfrac{z_{\alpha/2}}{E})^2\\\\\Rightarrow\ n=0.66(1-0.66)(\dfrac{2.576}{0.08})^2\\\\=232.666896\approx233](https://tex.z-dn.net/?f=n%3D%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2%5C%5C%5C%5C%5CRightarrow%5C%20n%3D0.66%281-0.66%29%28%5Cdfrac%7B2.576%7D%7B0.08%7D%29%5E2%5C%5C%5C%5C%3D232.666896%5Capprox233)
Then, the additional voters need to be sample = ![233-50=183](https://tex.z-dn.net/?f=233-50%3D183)
Hence, the region should sample 183 additional voters.
Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
Answer: A. 0.04
Step-by-step explanation: Answer 0.04
It is a square because its sides are the same length.
The formula for volume is
... V = Bh . . . . . where B is the area of the base, and h is the height
You have
... 18/35 = 2/5·h
... 18/35·5/2 = h = 9/7
The height is 9/7 units.