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2 years ago

Which of the following statements explains how to solve for w in the equation A = lw?

Mathematics

1 answer:

gladu [14]2 years ago

6 0

Answer:

Divide both sides by l.

Step-by-step explanation:

The equation that we have to solve in this problem is

$A=lw$

where

A is the area

l is the length

w is the width

Here we want to solve the equation for w, the width. It means that we have to isolate this variable.

In order to do so, we proceed as follows:

1) We divide by l on both sides:

$\frac{A}{l}=\frac{lw}{l}$

2) We simplify l on the right side, so we get:

$\frac{A}{l}=w$

So, we have solved for w.

Therefore, the correct answer is

Divide both sides by l.

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Step-by-step explanation:

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3 years ago

The committee is planning to have frozen fruit bars for desert. If frozen fruit bars come in boxes of 12, how many boxes of froz

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Answer:

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Step-by-step explanation:

Based on the infomation given :

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2 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use 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 question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$