Suppose that a certain college class contains 39 students. Of these, 19 are freshmen, 25 are English majors, and 6 are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a freshman and an English major?
(b) Given that the student selected is a English major, what is the probability that he is also an freshman?

what is the graph

step-by-step explanation:

step-by-step explanation:

this is not a question

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36