Answer:
The volume is decreasing at a rate 20π cubic meter per hour.
Step-by-step explanation:
We are given the following in the question:
The radius is increasing at a rate 1 meter per hour.
The height is decreasing at a rate 4 meter per hour
At an instant time t,
r = 5 meter
h = 8 meters
Volume of cylinder =
where r is the radius and h is the height of the cylinder.
Rate of change of volume is given by:
Putting all the values we get,
Thus, the volume is decreasing at a rate 20π cubic meter per hour or 62.8 cubic meter per hour.
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The 99% confidence interval for the difference between the average years of service between men and women would be = 3.43.
<h3>What is confidence intervals?</h3>
Confidence interval is defined as the statistical parameter that is used to know if a set of values would fall within a certain range of population or not.
Using the statistical table, the value of 99% or 0.99 confidence interval has a z-score = 2.576
The standard error that exists between the bothe value = SD/Ö
Where SD = difference between the standard deviations = 8.39 - 4.39 = 4
Where ñ = different between the average years of service = 9.62
Standard error= 4/√9.62 = 4/3.01 = 1.33
The confidence interval = 2.576 × 1.33 = 3.43.
Learn more about confidence interval here:
brainly.com/question/26658887
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You can't solve that, it is already simplified and unless an x is given you cannot do anything to that problem
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