For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly picked. What is the probability that the student has visited 30 or fewer states?

9514 1404 393

  66%

Step-by-step explanation:

The categories are mutually exclusive, so we have ...

  P(≤30) = P(1–10) +P(10–20) +P(20–30) = 5% +16% +45%

  P(≤30) = 66%

The probability is 66% that a randomly chosen student has visited 30 or fewer states.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.