What is the volume of a rectangular solid that is 6 feet long, 4 feet wide, and 2 feet high?
2 answers:
The volume of a rectangular solid that is 6 feet long, 4 feet wide, and 2 feet high is 48 cubic feet
<u>Solution:</u>
Given that rectangular solid has following dimensions
Length = 6 feet
Width = 4 feet
Height = 2 feet
We have to find the volume of rectangular solid
<em><u>The volume of rectangular solid is given as:</u></em>
Plugging in the values in formula we get,
Thus the volume of the rectangular solid is 48 cubic feet
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Answer:
This value means that his shoe size is 2.9 deviations above the population mean.
And we can find the approximate percentile for his measure like this:
This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the shoe size of a population, and for this case we know the distribution for X is given by:
Where represent the mean and
the population standard deviation.
For this case we know that a man obtain a z score of z=2.9
This value means that his shoe size is 2.9 deviations above the population mean.
And we can find the approximate percentile for his measure like this:
This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.