Answer:
Step-by-step explanation:
another way to express 52+24 is 4(13+6)
6 teams 5 times the key word is times this means multiply so 6x5=30
Y = -1x+b
replace x and y to find b
2 = -1*2+ b
b = 4
Final:
y = -1x + 4
![gpm = 29.7 \times {d}^{2} \times \sqrt{np}](https://tex.z-dn.net/?f=gpm%20%3D%2029.7%20%5Ctimes%20%20%7Bd%7D%5E%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7Bnp%7D%20)
this formula is used to determine gpm (gallons per minute) of flow with a known hose diameter (d) and nozzle pressure (np). The constant (29.7) is consistent when figuring flow with in gallons with a know pressure expressed in psi (pounds per square inch).
Scenario example: a firefighter is using a handline to fight fire with an 1 3/4 inch line with a nozzle pressure of 100 psi. How much water is the firefighter flowing when fighting fire?
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