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3 years ago

4-inch by 6-inch what is the width of 15 inches for a ratio table

Mathematics

1 answer:

quester [9]3 years ago

3 0

This is a ratio problem; the ratio of the length to width is constant (and therefore equal):

4 /6 = 15 / x

Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc.

Let's cross-multiply:

4x = (15)(6)

x = 90/4

x = 22.5 in.

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The area is 24 square inches so it would cost $480

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3 years ago

It cost $91 to rent a car for two days. What is the cost for one day?

Marina86 [1]

Answer:

$45.5

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2 years ago

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

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3 years ago

Help me, please and ty

Ira Lisetskai [31]

Answer:

3/5, 30%, 0.1

Step-by-step explanation:

0.4 + 1/2 + 40% = 0.4 + 0.5 + 0.4 = 1.3

3/4 + 0.25 + 1/2 = 0.75 + 0.25 + 0.5 = 1.5

3/5 + 30% + 0.1 = 0.6 + 0.3 + 0.1 = 1

The last choice is a probability complement because all values add to 1.

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3 years ago

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Andrew [12]

Answer:

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3 years ago