Out of a group of 120 students that were surveyed about winter sports 28 said they ski 53 said they snowboard Sixteen of the students who said they ski said the also snowboard. If a student is chosen at random P ( snowboard I ski)​

P ( snowboard I ski)​ = 0.5714

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Ski

Event B: Snowboard.

28 out of 120 students ski:

This means that

16 out of 120 do both:

This means that

P ( snowboard I ski)​

So

P ( snowboard I ski)​ = 0.5714

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option