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3 years ago

Simplify (x^4-9x+5x^7)+(5x-10+3x^4-2x^2)

Mathematics

1 answer:

Nadya [2.5K]3 years ago

6 0

Answer:

5x^7 + 4x^4 - 2x^2 - 4x - 10.

Step-by-step explanation:

(x^4 - 9x + 5x^7) + (5x - 10 + 3x^4 - 2x^2)

= x^4 - 9x + 5x^7 + 5x - 10 + 3x^4 - 2x^2

Combine like terms:

= 4x^4 - 4x - 2x^2 + 5x^7 - 10

Now rearrange to standard form ( in decreasing degree):

= 5x^7 + 4x^4 - 2x^2 - 4x - 10.

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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.

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Alternate Hypothesis, $H_A$ : $\mu$ > $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 One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

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, test statistics = $\frac{16,000-15,200}{\frac{5,000}{\sqrt{400} } }$ ~ $t_3_9_9$

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