From the identity:
the inverse of f is g such that f(g(x))=x,
we must find g(x), such that![\frac{1}{cos[g(x)]}=x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bcos%5Bg%28x%29%5D%7D%3Dx%20)
thus,![cos[g(x)]= \frac{1}{x}](https://tex.z-dn.net/?f=cos%5Bg%28x%29%5D%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
Answer: b. g(x)=cos^-1(1/x)
the inverse of f is g such that f(g(x))=x,
we must find g(x), such that
thus,
Answer: b. g(x)=cos^-1(1/x)
What is the area of this trapezoid?
1 answer:
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Answer:
The 80% confidence interval for the proportion of companies that are planning to increase their workforce is (0.033, 0.331).
A sample size of 8852 is needed.
Step-by-step explanation:
First question:
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 zscore that has a pvalue of .
Only 2 of the 11 companies were planning to increase their workforce.
This means that
80% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 80% confidence interval for the proportion of companies that are planning to increase their workforce is (0.033, 0.331).
Second question:
The margin of error is:
A poll taken in July 2010 estimates this proportion to be 0.36.
This means that
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.01?
This is n for which M = 0.01. So
Rounding up(as a sample of 8851 will have a margin of error slightly over 0.01):
A sample size of 8852 is needed.