Answer:
C) π/6
Step-by-step explanation:
The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

Graph: desmos.com/calculator/mezlen9hb4
Answer:
A=is equal B=is equal C=Is equal D=is equal
Step-by-step explanation:
Hi.
The answer is:
<em />b. c(x) = 2.00 + 0.50<em>x</em>
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Answer:
Expected time is 15 hours for him to get to safety.
Step-by-step explanation:
We define X as the time that this miner would get to safety.
We define Y as the door he chooses initially.
P(Y= 1) = P(Y=2)=P(Y=3) = 1/3
We have E[X|Y=1] = 3
E[X|Y] = 5 hours + E[X}
E[X|Y] = 7 hours + E[X]
Then we have
E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])
We cross multiply
3*E[X] = (15 + 2E[x])
3E[X] - 2E[X] = 15
E[X] = 15
So the time it would take to get him to safety is 15 hours