Answer:
75+12h ≥ 399
He must work at least 27 hours
Step-by-step explanation:
How much does benny earn
He makes 75 for the course plus 12 dollars an hour
75+ 12h
This must be at least 399
75+12h ≥ 399
Subtract 75 from each side
75-75+12h ≥ 399-75
12h ≥ 324
Divide each side by 12
12h/12 ≥ 324/12
h ≥ 27
He must work at least 27 hour
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
the equation of the line is y = 3x - 5
Is 1/2 an answer? That’s what I keep getting