A contestant on a game show must choose 2 of 16 boxes. Once a box is chosen, it is removed from the game. Of the 16 boxes, 3 contain money, 5 contain traveling prizes, and 8 are empty. What is the probability that both boxes are empty?

7 / 30

Step-by-step explanation:

This is a selection without replacement probability :

Total boxes = 16

With money = 3

With traveling prices = 5

Empty = 8

P(choosing 2 empty boxes) :

P(empty) * P(empty)

P(empty) = Number of empty boxes / total number of boxes

First pick = empty

P(empty) = 8 / 16 = 1/2

Without replacement :

Second pick = empty

P(empty) = 7 / 15

P(choosing 2 empty boxes) = 1/2 * 7/15 = 7 /30

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x