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Elan Coil [88]
2 years ago
15

The popcorn in a vending machine costs $0.75 per bag. Which function rule describes the situation?

Mathematics
1 answer:
BabaBlast [244]2 years ago
5 0

Answer:

f(b)=75%b

hope it helped :)

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What I gather from the question is that X has second moment E(X^2)=81 and variance V(X) = 58, and you're asked to find the expectation and variance of the random variable Y=2X+10.

From the given second moment and variance, we find the expectation of X :

V(X) = E(X^2) - E(X)^2 \implies E(X) = \sqrt{E(X^2) - V(X)} = \sqrt{23}

Expectation is linear, so

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Using the same variance identity, we have

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Alternatively, we can use the identity

V(aX+b) = a^2 V(X) \implies V(2X+10) = 4V(X) = 232

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