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Effectus [21]
3 years ago
13

Jennifer used 0.42 gallons of paint to completely cover a square wall with an area of 168 square feet. Which measurement is clos

est to the side length of this wall in feet?
Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

The answer to this question is: 12.96 ft ≈ 13 ft

Step-by-step explanation:

Data

Area 168 ft²

Length = ?

Volumen = 0.42 gallons

But we do not need the volume of paint because we know that the wall is squared-shape.

Only we need to know the formula to obtain the area of an square.

Formula   area = length²

So            168 = length²

Finally      √168 = length

             length = 12.96 ≈ 13 ft

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Answer:

First part

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And we can use the normal standard table or excel and we got:

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Second part

For the other part of the question we want to find the following probability:

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P(-1.715

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

X \sim N(3.4,3.1)  

Where \mu=3.4 and \sigma=3.1

First part

And for this case we want this probability:

P(X< 3.4-0.6*3.1) = P(X

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And we can use the normal standard table or excel and we got:

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For the other part of the question we want to find the following probability:

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And using the score we got:

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And we can find this probability with this difference:

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