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worty [1.4K]
2 years ago
12

Find the volume of the cylinder.

Mathematics
1 answer:
zepelin [54]2 years ago
3 0

Answer:

Step-by-step explanation:

The formula for the volume of a cylinder of base radius r and height h is

V = π·r²·h.  Get the radius and height information from the original problem statement and substitute these values into this formula.

For example, if the radius is 3 cm and the height is 4.5 cm, then the volume of this particular cylinder is

V = π·(3 cm)²·(4.5 cm) = 127.2 cm³    (this is an EXAMPLE only)

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alexandr402 [8]

The correct interpretation of the p-value is given by:

B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows:

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z, which means that the p-value for a two-tailed test is twice the p-value of a one-tailed test.

In this problem, a left-tailed test is used, as we are testing if the mean is less than 5 hours.

The sample mean from the 10 times was of 4.25, and the p-value is of 0.038, which means that the area to the left of Z under the normal curve is of 0.038, that is, a sample mean of 4.25 hours or lower would only occur about 3.8% of the line, hence option B is correct.

You can learn more about p-values at brainly.com/question/13873630

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