Answer:
D: 5 1/2
Step-by-step explanation:
1 1/2 + 4 = 5 1/2
Answer:
We need to contact 542 employees.
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)
98% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
a) How many randomly selected employers must we contact in order to create an estimate in which we are 98% confident with a margin of error of 5%
We dont know the proportion, so we use
, which is when we are going to need the largest sample size.
We have to find n when M = 0.05. 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)
![0.05 = 2.327\sqrt{\frac{0.5*0.5)}{n}}](https://tex.z-dn.net/?f=0.05%20%3D%202.327%5Csqrt%7B%5Cfrac%7B0.5%2A0.5%29%7D%7Bn%7D%7D)
![0.05\sqrt{n} = 2.327*0.5](https://tex.z-dn.net/?f=0.05%5Csqrt%7Bn%7D%20%3D%202.327%2A0.5)
![\sqrt{n} = \frac{2.327*0.5}{0.05}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B2.327%2A0.5%7D%7B0.05%7D)
![(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.05})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E%7B2%7D%20%3D%20%28%5Cfrac%7B2.327%2A0.5%7D%7B0.05%7D%29%5E%7B2%7D)
![n = 541.49](https://tex.z-dn.net/?f=n%20%3D%20541.49)
Rounding up
We need to contact 542 employees.
He made 896.05 because you subtract 1803.95 from 2700 to get your answer.
Answer: -2.85
Step-by-step explanation:
To convert 22/20 into a decimal, we must multiply it by 5 to get a denominator of 100.
5(22/20)= 110/100= 1.10
So now lets solve the equation.
-1.75-1.10 = -2.85
Answer:
150
Step-by-step explanation:
15 times 8 = 120
14-8 = 6
6 times 5 = 30
150