Answer:
6:22,10:110,9:33
Step-by-step explanation:
all the answers are factors of 3 and 11
(f/g)(x) just means f(x)/g(x)
So the answer is (2x+1)/(x^2-7)
Answer:
.......................I don't know
Answer:
тут наверное что-то неправильно, или опечатка
Answer:
The minimum sample size required is 461.
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.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
The margin of error is:
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
An interval estimate of the proportion p with a margin of error of 0.06. What is the minimum sample size required?
The minimum sample size required is n, which is found when M = 0.06.
We don't have an estimate for the true proportion, which means that we use
. So
![M = z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
![0.06 = 2.575\sqrt{\frac{0.5*0.5}{n}}](https://tex.z-dn.net/?f=0.06%20%3D%202.575%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%7D%7Bn%7D%7D)
![0.06\sqrt{n} = 2.575*0.5](https://tex.z-dn.net/?f=0.06%5Csqrt%7Bn%7D%20%3D%202.575%2A0.5)
![\sqrt{n} = \frac{2.575*0.5}{0.06}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B2.575%2A0.5%7D%7B0.06%7D)
![(\sqrt{n})^2 = (\frac{2.575*0.5}{0.06})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%20%28%5Cfrac%7B2.575%2A0.5%7D%7B0.06%7D%29%5E2)
![n = 460.5](https://tex.z-dn.net/?f=n%20%3D%20460.5)
Rounding up
The minimum sample size required is 461.