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3 years ago

Which figure accurately represents the Pythagorean theorem?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

8 0

Figure B is the answer!

The formula for the Pythagorean theorem is

A^2+B^2=C^2

In figure B the units are squared. Making it your answer.

-Seth

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We will find the volume of the paint tray and compare it with the volume of the gallon.

Given dimensions are:

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Depth = 4 cm or $\frac{4}{2.54}=1.575$ inches

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We can see that volume of 1 gallon is more than volume of tray.

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The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328

<h3>How to determine the probability?</h3>

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Start by calculating the mean:

$\mu = np$

$\mu = 100 * 82\%$

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Calculate the standard deviation:

$\sigma = \sqrt{\mu(1 - p)$

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$\sigma = 3.84$

Within ± 0.02 of the population proportion are:

$x_{min} = 82 * (1 - 0.02) = 80.38$

$x_{max} = 82 * (1 + 0.02) = 83.64$

Calculate the z-scores at these points using:

$z = \frac{x - \mu}{\sigma}$

So, we have:

$z_1 = \frac{80.36 - 82}{3.84} = -0.43$

$z_2 = \frac{83.64 - 82}{3.84} = 0.43$

The probability is then represented as:

P(x ± 0.02) = P(-0.43 < z < 0.43)

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P(x ± 0.02) = 0.3328

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