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Vikentia [17]
3 years ago
7

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S

uppose oil is drained at a
rate of 1.5 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for, and round your answer to the nearest minute. Do not round any intermediate computations.
Mathematics
1 answer:
gavmur [86]3 years ago
8 0

Answer:

8\:\mathrm{minutes}

Step-by-step explanation:

The volume of a cylinder is given as:

r^2\cdot\pi\cdot h

Since the diameter is 2.2, the radius is \frac{2.2}{2}=1.1.

Therefore, the volume of this cylinder is:

1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}, using \pi=3.14 as requested in the problem.

Since the tank is emptied at a constant rate of 1.5\:\mathrm{ft^3\:per\:minute}, it will take

\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$} to empty the tank.

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a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

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Step-by-step explanation:

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We have to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

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Question b:

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