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goldfiish [28.3K]
2 years ago
10

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same

base and half the height of the prism is placed inside the prism, as shown in the figure.
what is The volume of the space outside the pyramid but inside the prism?
Mathematics
1 answer:
nexus9112 [7]2 years ago
8 0
You subtract the volume of the pyramid from the volume of the prism. The volume of the prism is 5*5*12, which is 300cm^3. The volume of the pyramid is (5*5*6)/3, which is 50cm^3. 300-50=250, so the volume of the space outside the pyramid but inside the prism is 250cm^3.
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\mu =90 , \sigma =14

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard deviation would be:

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And the best answer would be

b. 2 minutes

Step-by-step explanation:

Previous concepts

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Solution to the problem

For this case we have the following info related to the time to prepare a return

\mu =90 , \sigma =14

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

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And the standard deviation would be:

\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2

And the best answer would be

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