The mathematics department of a college has 10 male professors, 12 female professors, 12 male teaching assistants, and 15 female teaching assistants. if a person is selected at random from the group, find the probability that the selected person is a professor or a male.

We need the total count of persons = 10+12+12+15 = 49 persons

We need the count of the target group, female or teaching assistants

= (10+12) professors + 12 male teaching assistants

= 22+12

= 34 persons

Assuming equal probability of choosing anyone from the 30 persons, the

probability of choosing a professor or a male

= 34/49

(For probability calculations, try to keep a fraction for as long as you can, because fractions are exact. Decimal are frequently approximate, for example in this case, 34/49=0.693877551020 = 0.694 approximately)

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.