Answer:
E(Y) = $0.5
Var(Y) = 14.25
you should pay the same amount $0.5
Step-by-step explanation:
E(Y) = = Σ(YP)
P = probability of each outcomes.
Var(Y) = Σ
p − (μ x μ)
E(Y) = (2 x 0.25) +(6 x 0.25) + (0.5 x (-3)) = $0.5
Var(Y) = (
x 0.25) + (
x 0.25) +(
x 0.5) - (
)
= 14.5 - 0.25
Var(Y) = 14.25
for the difference between the payoff and cost of playing to have mean 0, you should pay the same amount $0.5
The angle is 60° because
B is a right angle and that adds to 90°, so dividing 90 by 3 would get 30
30 x 2 = 60
and to check the answer
x = 30
A=30
B=90
C=60
this adds to 180 which is correct because the angles in a triangle add to 180° :)
Answer:
16d^20
Step-by-step explanation:
to raise a product to a power, raise each factor to that power. (-2)^4x(d^5)^4
evaluate the power (-2)^4 x (d^5)^4
16 x (d^5)^4
Answer:

Step-by-step explanation:
Swap x and y, then solve for y.

The two column proof for the given angle addition has been carried out below.
<h3>How to Carry out two column proof?</h3>
1) m∠CZE = m∠1 + m∠2
Reason: Angle Addition Property
2) m∠FXH = m∠3 + m∠4
Reason: Angle Addition Property
3) m∠CZE = m∠FXH
Reason: Given
4) m∠1 + m∠2 = m∠3 + m∠4
Reason: Substitution Property
5) m∠1 = m∠3
Reason: Subtraction Property
6) m∠3 + m∠2 = m∠3 + m∠4
Reason: Substitution Property
7) m∠2 = m∠4
Reason: Subtraction Property
Read more about Two Column Proof at; brainly.com/question/1788884
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