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Leviafan [203]
3 years ago
6

What is −412√+75√ in simplest radical form?

Mathematics
2 answers:
guapka [62]3 years ago
4 0
Ok  
√12 = √4 * √3 = 2√3
√75 = √25*√3 = 5√3

so 4√12 + √75 = 4*2√3 + 5√3  = 13√3  answer
Mnenie [13.5K]3 years ago
3 0
<h3>Answer:  13√3.</h3>

Step-by-step explanation: Given radical expression 4√12 + √75.

Let us simplify each of the radical separately first.

√12 = √(2×2×3) = 2√3

Therefore, 4√12 = 4 × 2√3 = 8√3.

√75 = √(3×5×5) = 5√3

Therefore 4√12 + √75  => 8√3 + 5√3.

Adding like radicals, we get

8√3 + 5√3 = 13√3.

<h3>Therefore, 4√12 + √75 = 13√3.</h3>
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Answer:

We conclude that the population mean cost for a hospital stay for American women aged 18-44 has increased since 2010.

Step-by-step explanation:

We are given that the US Agency for Healthcare Research and Quality reported that in 2010 the mean cost of a stay in a hospital for American women aged 18-44 was $15,200.

A random sample of 400 hospital stays for American women aged 18-44 showed a mean cost of $16,000, with a standard deviation of $5000.

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SO, <u>Null Hypothesis</u>, H_0 : \mu \leq $15,200   {means that the population mean cost for a hospital stay for American women aged 18-44 has reduced or remains same since 2010}

<u>Alternate Hypothesis</u>, H_A : \mu > $15,200   {means that the population mean cost for a hospital stay for American women aged 18-44 has increased since 2010}

The test statistics that will be used here is <u>One-sample t test</u> <u>statistics</u> as we don't know about the population standard deviation;

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where,  \bar X = sample mean cost of a stay in a hospital for American women aged 18-44 = $16,000

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So, <em><u>test statistics</u></em>  =   \frac{16,000-15,200}{\frac{5,000}{\sqrt{400} } }  ~ t_3_9_9

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<em>Now at 5% significance level, the t table gives critical value of 1.645 at 399 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 1.645 < 3.20, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

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Step-by-step explanation:

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