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artcher [175]
3 years ago
12

A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour. How many hours will

it take for the water level in the tank to be 3 1/2 ft deep?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0
It will take 2 hours for the pool to reach 3
1/2 feet
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The manager of a baseball team has 15 players to choose from for his 9 person batting order
Masteriza [31]
Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005    362,880    3,603,600    1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
^nC_r= \frac{n!}{(n-r)!r!}
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005

6 0
3 years ago
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