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
9514 1404 393
Answer:
(a) {(5, 2), (-4, 2), (3, 6), (0, 4), (-1, 2)}
Step-by-step explanation:
The only relation with no repeated x-values is the first one. The first relation is a function.
An object's dimensions are: length of 25cm, wight of 10cm, and height of 15cm. calculate the object's density if its mass is 3000g
Answer:
A. f(x)=3(x+6)^2-75
vertex form is (-6,-75)
Step-by-step explanation:
Khan Academy Quiz #5
Use cosine rule:
c²=b²+a²-2ba cosC
Right triangle = 90 degrees
cosine 90 degrees = 0
c²=28²+15²-2×28×15×0
c²=28²+15²
c=√1009
c=31.8 in