Suppose that a certain college class contains students. Of these, are juniors, are mathematics majors, and are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a mathematics major

Step-by-step explanation:

The question is not correctly outlined, here is the correct question

"Suppose that a certain college class contains 35 students. of these, 17 are juniors, 20 are mathematics majors, and 12 are neither. a student is selected at random from the class. (a) what is the probability that the student is both a junior and a mathematics majors?"

Given data

Total students in class= 35 students

Suppose M is the set of juniors and N is the set of mathematics majors. There are 35 students in all, but 12 of them don't belong to either set, so

|M ∪ N|= 35-12= 23

|M∩N|=  |M|+N- |MUN|= 17+20-23

           =37-23=14

So the probability that a random student is both a junior and social science major is

=P(M∩N)= 14/35

=2/5

You will pay $13.52 for this shirt.

Step-by-step explanation: 0.9435

Since the tax is 7.5%, you have to multiply 12.58 by 7.5% to find the amount of money paid as tax.

7.5% = 0.075

12.58 x 0.075 = 0.9435

Since we are dealing with money we have to round to the nearest hundredth -- 0.9435 = 0.94

Then to find the final cost of the shirt, we have to add 12.58 and 0.94 to get  $13.52.