Answer:
0.78125 or 78.125%
Step-by-step explanation:
Male professors = 7
Female professors = 6
Male T.A. = 12
Female T.A. = 7
Number of people in the department = 32
The probability that the selected person is a professor or a male is given by the probability that the person is a professor added to the probability that the person is a male, minus the probability that the person is a male professor:

The probability is 0.78125 or 78.125%
Given

So,

So, the simplest form of 88/90 is 44/45
Plug in y=3x+2 into the y in the second equation.
x + 2(3x+2) = 11
x + 6x + 4 = 11
7x + 4 = 11
7x = 7
x = 1
then, plug the x value into x in the first equation.
y = 3(1) + 2
y = 3 +2
y = 5