The expected value of the first game is -$0.50 and of the second game is -$0.52.
There are 10³ possible numbers for the lottery, and only 1 of them will match in the correct order; this gives a probability of 1/1000. To find the expected value, we multiply this by the winnings (499 after the $1 cost); we also multiply the probability of losing (999/1000) by the amount lost (-1):
1/1000(499)+999/1000(-1)
499/1000 - 999/1000 = -500/1000 = -0.50
For the second game, since the number is "boxed", there are 3! ways to get the correct digits; this gives a probability of 6/1000. Multiply this by the winnings, 79 (after the $1 cost); multiply the probability of losing (994/1000) by the loss (-1):
6/1000(79) + 994/1000(-1) = 474/1000 - 994/1000 = -520/1000= -0.52
All of the angles are 60 degrees because it is a equallaterial triangle.
4x+5=10x+3
6x=2
x=1/3
4x+5
4(1/3)+5
4/3+5
=6 1/3
Answer: $271.15
Step-by-step explanation:
$5.80 × 40 = 232
Time and a half = $8.70
Overtime is 4.5 hours
$8.70 × 4.5 = 39.15
$232 + 39.15 = 271.15
The square root would be 316