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nekit [7.7K]
3 years ago
5

To add 20.4 + 3.75 + 4.25, Crystal first added 3.75 and 4.25. Which property did Crystal use to add mentally?

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

Associative Property of Addition

Step-by-step explanation:

From the list of given options, option A correctly answers the question and this is because

a + b + c = a + (b + c) --- (1)

or

a + b + c = (a + b) + c --- (2)

<em>The above illustrations only apply to Associative Property of Addition</em>

In Crystal's case:

20.4 + 3.75 + 4.25 = 20.4 + (3.75 + 4.25)

This can be compared to (1) above

Hence;

<em>Option A answers the question</em>

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Step-by-step explanation:

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3 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:

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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}

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

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

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Answer:

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