Find the volume of the oblique prism

Mathematics

1 answer:

Sergio039 [100]2 years ago

8 0

Volume = 12 * area of triangular base

area of triangle = 1/2 base * height = 3 * height
height = sqrt(5^2 - 3^2) = 4

area of triangle = 4*3 = 12

Vol of prism = 12*12 = 144 cubic units

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Nataly_w [17]

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$P(X$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

The figure shows the calculation for this case.

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 hardness of a population, and for this case we know the distribution for X is given by:

$X \sim N(48.5,2)$