We have to identify the rational function among the given functions.
Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.
1. Consider the first function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
2. Consider the second function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
3. Consider the third function 
, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.
4. Consider the fourth function 
, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.
So, Option D is the correct answer.
Considering a discrete distribution, it is found that the expected number of new employees to be hired by the airline is of 446.16.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
In this problem, considering the situation described in the text, the distribution is given by:
Hence, the expected value is given by:
E(X) = 0.37(867) + 0.63(199) = 446.16.
More can be learned about discrete distributions at brainly.com/question/24855677
Answer:
all work is pictured and shown
