g(x)=x^2-1
f(g(X))=5 sqrt(x^2-1+1)-2
5 sqrt(x^2)-2
:sqrt cancel the square
5x-2
Answer:
65 ft by 39 ft
Step-by-step explanation:
Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is

The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is

From the first equation,

Substitute it into the area expression:

Find the derivative:

Equate it to 0:

Then

Using the z-distribution, it is found that the correct option regarding the question in the problem is given by:
B. No, since the confidence interval includes values less than 50%, his opponent may get more votes.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
In this problem, the parameters are given as follows:

Hence, the bounds are given by:


The lower bound is below 0.5, hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
A rectangular prism has eight vertices and a rectangular pyramid has five.Step-by-step explanation:
Answer:
7234.56 inches cubed
Step-by-step explanation:
V=4/3 times pi times r cubed
4/3 times 3.14 times 1728