Awinery has a vat with two pipes leading to it. the inlet pipe can fill the vat in 3 hours, while the outlet pipe can empty it in 7 hours. how long will it take to fill the vat if both pipes are left open

  5 1/4 hours

Step-by-step explanation:

The rate of filling is 1/3 vats per hour. The rate of emptying is 1/7 vats per hour, so the net rate of filling is ...

  (1/3) -(1/7) = 4/21 . . . . vats per hour

Then for filling one vat, it will take an amount of time that is the inverse of this:

  21/4 = 5 1/4 . . . hours per vat

If both pipes are left open, the vat will fill in 5 1/4 hours.

answer:

1. 0.04

2. 0.15

step-by-step explanation:

i just finished that assignment for properties of probability distributions.

i got 10.28 but that rounds up to 10.3