Answer:
3.9
Step-by-step explanation:
Given the data:
Payout ($) (x) : 0 2 4 8 10
Probability p(x) : 0.35 0.2 0.1 0.2 0.15
The expected winning ; E(X) = Σ(x * p(x))
Σ(x * p(x)) = (0*0.35)+(2*0.2)+(4*0.1)+(8*0.2)+(10*0.15)
= 0 + 0.4 + 0.4 + 1.6 + 1.5
= 3.9
When squaring fractions, both the numerator and the denominator are squared:
12. (4/5)² = 16/25
13. (-5/12)² = 25/144
14. (13/6)² = 169/36
Answer:
x = -10
y = -13
Step-by-step explanation:
-6(y + 3) + 4y = 8
-6y - 18 + 4y = 8
-2y - 18 = 8
+ 18 + 18
-2y (÷ -2) = 26 (÷ -2)
y = -13
x = -13 + 3
x = -10