Answer:
b. 42 people
Step-by-step explanation:
For each foreigner living in the U.S., there are only two possible outcomes. Either they are naturalized citizens, or they are not. The probability of a foreigner living in the U.S. not being a naturalized citizen is independent from other foreigners living in the U.S. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

"approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens"
This means that 
70 foreign-born people who live in the U.S
This means that 
How many people would you expect to get that are not naturalized citizens?

So the correct answer is:
b. 42 people
Answer:
Switch x and y, and solve for y

Step-by-step explanation:
Given

Required
Complete the steps to determine the inverse function
Solving (a): Complete the blanks
Switch x and y, and solve for y
Solving (b): Determine the inverse function
![f(x) = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Replace f(x) with y
![y = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Switch x and y
![x = \sqrt[3]{8y} + 4](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204)
<u>Now, we solve for y</u>
Subtract 4 from both sides
![x -4= \sqrt[3]{8y} + 4-4](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204-4)
![x -4= \sqrt[3]{8y}](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D)
Take cube roots of both sides

Divide both sides by 8

So, we have:

Hence, the inverse function is:

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