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2 years ago

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Which expression is equivalent to StartRoot 120 x EndRoot? 2 StartRoot 30 x EndRoot 2 StartRoot 30 EndRoot 4 StartRoot 30 x EndR

oot 60 StartRoot 2 x EndRoot

1 answer:

julsineya [31]2 years ago

7 0

equivalent expression of StartRoot 120 x EndRoot is 2 StartRoot 30 x EndRoot

Option A is correct.

Step-by-step explanation:

We need to find equivalent expression of StartRoot 120 x EndRoot

Solving:

Converting into mathematical form.

$\sqrt{120x}$

Finding prime factors of 120

120: 2x2x2x3x5 = 2^2x2x3x5

Putting 2^2x2^2x3x5 instead of 120

$=\sqrt{2^2\times 2\times 3\times 5\times x}\\We \,\,know\,\,\sqrt{2^2}=2\,\,so\\=2\sqrt{2\times 3\times 5\times x}\\=2\sqrt{30 x}$

Solving $\sqrt{120x}$ we get $2\sqrt{30 x}$

So, equivalent expression of StartRoot 120 x EndRoot is 2 StartRoot 30 x EndRoot

Option A is correct.

Keywords: Solving radical expressions

Learn more about Solving radical expressions at:

#learnwithBrainly

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Answer:

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The p value for this case would be given by:

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For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

Step-by-step explanation:

Information given

n=750 represent the random sample taken

$\hat p=0.30$ estimated proportion of people who thought the economy is getting worse

$p_o=0.32$ is the value that we want to verify

$\alpha=0.05$ represent the significance level

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$p_v$ represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:

Null hypothesis: $p=0.32$

Alternative hypothesis: $p \neq 0.32$

The statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

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Answer:

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