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adelina 88 [10]
3 years ago
15

Rewrite the expression so that the GCF is factored completely: 2x^3y+18xy-10x^2y-90y

Mathematics
2 answers:
Agata [3.3K]3 years ago
6 0

2x^3y+18xy-10x^2y-90y

= 2xy(x^2 + 9)- 10y(x^2 + 9)

= (x^2 + 9)(2xy - 10y)

= (x^2 + 9) 2y(x - 5)

= 2y (x^2 + 9) (x - 5)

Gemiola [76]3 years ago
3 0

The final answer is:

= 2y (x^2 + 9) (x - 5)

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The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%

<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>

The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:

\mathbf{H_o :p =0.2}

\mathbf{H_i:p < 0.2}

Given that:
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Sample proportion \mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}

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\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}

\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}

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From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.

Hence, the p-value for the test statistics can be computed as:

P-value = P(Z ≤ z)

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By using the Excel function =NORMDIST (-2.73)

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brainly.com/question/15980493

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2 years ago
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ioda

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