Pretty sure mean for all of them because that is the calculated average.
Since V is a point on the line UW, therefore:
the length of UV + the length of VW = the length of UW
19 + 4x - 20 = 6x - 35
19 - 20 + 35 = 6x - 4x
34 = 2x
x = 34/2 = 17
Based on this:
UW = 6x - 35 = 6(17) - 35 = 67 cm
UV = 19 cm
VW = 4x - 20 = 4(17) - 20 = 48 cm
Answer:
They are rational numbers.
The expected value is -$0.33.
The probability of winning is 1/6. The probability of losing is 5/6.
If you win, your prize is 10-2 = 8, since you paid $2 to pay the game. If you lose, you lose the $2 you spent.
The expected value would be the probability of winning, 1/6, multiplied by the winnings, 8, added to the probability of losing, 5/6, multiplied by the loss, -2:
1/6*8 + 5/6(-2) = 8/6 - 10/6 = -2/6 = -0.33
