Answer:
Step-by-step explanation:
Expected value of the bet =
<h3>
P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) = </h3>
(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =
(64/132600) * 40 + (1 - 64/132600) *(-10) =
64/3315 + (132536/132600) * (-10) =
64/3315 - (132536/13260) =
64/3315 - 33134/3315 =
-33070/3315 =
-9.97586726998 =
-$9.98, rounded to the nearest cent
(i.e., the expected value of the bet is a loss of $9.98)
I can only guess that you meant to write
12 + 3 = 3 + 12
which would be the commutative property of addition.
Answer:
53 hotdogs
Step-by-step explanation:
1.50 x 64 = 96
202 - 96 = 106
106 ÷ 2 = 53
3√x+2 = √x+4
divide both sides by 3
√x+2 = √x+4 / 3
remove radical by squaring both sides
x+2 = x+4/9
x+2 = x/9 + 4/9 =
8x/9 = -14/9
8x*9 = -14*9=
72x = -126
x = -7/4