The length of a rectangle is 3 times the width, and the perimeter is 22. Find the dimensions of the rectangle.

1 answer:

8 0

<span> Ok, so first you know that the length=3 times the width, or width=x and length=3x.

To find the perimeter of a rectangle, you add the lengths of all the sides, so you add the width+width+length+length, or x+x+3x+3x.

This is then simplified into Perimeter=8x.

Since the perimeter is 22, you substitute it into the equation:
22=8x

Then, simply solve for x by dividing 22 by 8. The answer is x=2.75.

Since width=x and length=3x, width=2.75 and length=3 (2.75), or length=8.25.

Therefore, the dimensions of the rectangle are width of 2.75 and length of 8.25.

Hope it helps :] </span>

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horrorfan [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Suppose that the mean score on a creativity test is 16 and the standard deviation is 4. You are told that the distribution is no

Savatey [412]

Answer:

$P(12$

And we can find this probability on this way:

$P(-1$

We expect around 68.27% between the two scores provided.

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

$X \sim N(16,4)$