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
Answer:
replace m with 2 and do 7(2)+9
Answer:
C. x<27 and x>-3
Step-by-step explanation:
[x-12]<15
-15<x-12<15
-15+12<×<15+12
-3<×<27
x>-3 and x<27
Answer:
x = 15
y = 7.5
Step-by-step explanation:
✔️Diagonals of a parallelogram bisect each other at 90°.
Therefore,
2x° + 60° + 90° = 180° (sum of triangle)
Solve for x
2x + 150 = 180
2x = 180 - 150
2x = 30
2x/2 = 30/2
x = 15
✔️2x = 4y (alternate angles/corresponding angles)
Plug in the value of x
2(15) = 4y
30 = 4y
30/4 = y
7.5 = y
y = 7.5
