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2 answers:
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Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
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<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
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As the attached graph shows, a graphing calculator can also provide the solution.
Answer:
Z-score = -1.285
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 17.6 seconds
Standard Deviation, σ = 2.1 seconds
Formula:
For x = 14.9, we have:
A z-score to be unusual if its z-score is less than -2.00 or greater than 2.00.
Thus, the z-score is not unusual as it lies in the range [-2.00, 2.00]