A carpenter can do a job in two hours. His assistant can do the same job in three hours. How long would it take them to do the j
2 answers:
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Answer:
<u>Question 1</u>
The function is one-to-one, so it does have an inverse.
The inverse of +6 is -6, so
Therefore, g(x) is the inverse of f(x).
<u>Question 2</u>
The function is one-to-one, so it does have an inverse.
To find the inverse, replace f(x) with y:
Rearrange the equation to make x the subject:
Replace x with and y with x:
Therefore, g(x) is the inverse of f(x).
Answer:
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.
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.
In which
z is the zscore that has a pvalue of .
The margin of error:
For this problem, we have that:
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is
We need a sample size of at least n, in which n is found M = 0.04.
With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.