Expected Mean, E(X), is obtained by multiplying each pair of

and its

and add up the answers
E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4
The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²
E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
(E(X))² = (0.4)² = 0.16
Var(X) = 0.6 - 0.16 = 0.44
Translating these answers into the context we have
E(Y) = 0.4×500 = $200
Var(Y) = $110
Answer:
1st option
Step-by-step explanation:
The 2 angles are alternate exterior angles and are congruent , so
3x = 2x + 20 ( subtract 2x from both sides )
x = 20
Answer is A and C
Imagine your square has an area of 64,
That means it’s sides are 8 x 8
So only rectangles that are 8inches x 8 inches or less will fit. A and C have these dimensions, they will fit. The other two will not. See my attachment, the green rectangle must fit inside the 8 x 8 square.
answer: m=1
work:
3/2 + 2m = 7/2
3/2 (-3/2) + 2m = 7/2 (-3/2) subtract 3/2 from both sides
2m = 2
2m/2 = 2/2 divide 2 on both sides
m = 1