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1 year ago

Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation

Mathematics

1 answer:

lakkis [162]1 year ago

3 0

The area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

<h3>Area of a rectangle</h3>

Givene the dimensiion of Philip and Laura's pool as:

Length = (x - 5)

Width = (3x + 2)

Given the area expressed as:

f(x) = (x - 5)(3x + 2)feet

Taking the product will give:

f(x) = 3x^2 + 2x -15x - 10

f(x) = 3x^2 - 13x - 10

Hence the area of Philip and Laura's pool is 3x^2 - 13x - 10 square feet

Learn more on area of rectangle here: brainly.com/question/25292087

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Answer: False.

Step-by-step explanation:

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The term "quarter circle" actually does refer to a fourth part of a circle, not to a circle of radius 4.

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2 years ago

Ashley has a rectangle made out of paper that is 8 cm by12 cm. She folds it in half twice, first vertically and then horizontall

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Answer:

$Area =24cm^2$

Step-by-step explanation:

Given

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Required

The area of the new rectangle

When the length was folder, the new length is:

$l = L/2 = 8cm/2 = 4cm$

When the width was folder, the new width is:

$w = W/2 = 12cm/2 = 6cm$

So, the new area is:

$Area =l * w$

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2 years ago

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Answer:

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Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12, \sigma = 3$