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gavmur [86]
3 years ago
8

Combine like terms. What is a simpler form of the expression? -3(-4y + 3) + 7y

Mathematics
1 answer:
sashaice [31]3 years ago
4 0
19y-9. you distribute -3 into (-4y +3) to get 12y -9 and then you combine like terms so 12y +7y to get 19y and you still have the -9 so the simplest form would be 19y-9

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The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j
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Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

H_0: p \geq 0.4

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

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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.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

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This means that n = 200, X = \frac{74}{200} = 0.37

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

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P-value of the test and decision:

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Looking at the z-table, z = -0.87 has a p-value of 0.1922.

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