The inverse functions have a property that the composition of two inverse functions always results is x.
From the given options, only the pair given in option B result in the composition equal to x.

This proves, F(x) and G(x) are inverse of each other.
So the answer to this question is Option B
Considering the situation described, the confidence interval is given by:
(0.35, 0.51).
<h3>What is a confidence interval?</h3>
It is given by the <u>estimate plus/minus the margin of error</u>.
For this problem, we have that:
- The margin of error is half the range of the observations, hence M = (0.48 - 0.32)/2 = 0.08.
Then, the bounds of the interval are given by:
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer: Yes, this indicate the proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college.
Step-by-step explanation:
Since we have given that
Hypothesis:

n₁ = 100
x₁ = 37
So, 
n₂ = 100
x₂ =47
So, 
At 0.01 level of significance, z = 2.33
So, test statistic value would be

Since, 2.33>-1.44
Hence, we will reject the null hypothesis.
Therefore, Yes, this indicate the proportion of adult americans that attended college and believe in extraterrestrials is higher than the proportion that did not attend college
15 performances can be accommodated
<em><u>Solution:</u></em>
Given that,
Each performer for the talent show has 7 minutes for his or her performance
The introduction for the talent show is 25 minutes long
The entire show including the introduction, will last 130 minutes
Thus the remaining time for performances is:
Performance time = 130 minutes - 25 minutes
Performance time = 105 minutes
To find, the number of performances, divide the 105 by 7 minutes

Thus 15 performances can be accommodated
Answer:
Divide 75 by 2 and you get 37.5 as your answer. That's how much it will cost you to get 75 apples
Step-by-step explanation:
if we do unitary method
then..
50/25=0.5
1 apple cost 0.5
75=75*0.5 =ruppee 37.5