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jek_recluse [69]
3 years ago
12

It takes 45 min for Faucet A to fill a tank, and it takes Faucet B 63 min. How many minutes will it take the two faucets to fill

the tank together?
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer:

the total minutes taken together is 26.25 minutes

Step-by-step explanation:

The computation of the number of minutes that required to fill the tank together is shown below:

\frac{1}{45} + \frac{1}{63} = \frac{1}{x}\\\\\frac{7 + 5 }{315} = \frac{1}{x} \\\\\frac{12}{315} = \frac{1}{x} \\\\12x = 315\\x = 26.25minutes

Hence, the total minutes taken together is 26.25 minutes

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Answer:

P=0.228

Step-by-step explanation:

We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.

Therefore, we have 34 people.

We calculate the number of possible combinations:

C^{34}_6=\frac{34!}{6!(34-6)!}=1344904\\

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C_2^6\cdot C_4^{28}=\frac{6!}{2!(6-2)!}\cdot \frac{28!}{4!(28-4)!}=15\cdot 20475=307125\\

Therefore, the probability is:

P=\frac{307125}{1344904}=0.228

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