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3 years ago

Add: x^5 - 4x^4 + 7x^3 + 8, 9x^3+ 7x^2 - 10, and -2x^5 + 7x^4 - 3x + 8.

Mathematics

1 answer:

Nastasia [14]3 years ago

7 0

Answer:

$\large\boxed{-x^5+3x^4+16x^3+7x^2-3x+6}$

Step-by-step explanation:

$(x^5 - 4x^4 + 7x^3 + 8)+(9x^3+ 7x^2 - 10)+(-2x^5 + 7x^4 - 3x + 8)\\\\=x^5 - 4x^4 + 7x^3 + 8+9x^3+ 7x^2 - 10-2x^5 + 7x^4 - 3x + 8\\\\\text{combine like terms}\\\\=(x^5-2x^5)+(-4x^4+7x^4)+(7x^3+9x^3)+7x^2-3x+(8-10+8)\\\\=-x^5+3x^4+16x^3+7x^2-3x+6$

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In 2010, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephon

Zepler [3.9K]

<u>Answer</u>: No, we do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

Step-by-step explanation:

As per given , we have

$H_0: \mu=9.4\\\\H_a:\mu\neq9.4$ , since $H_0$ is two-tailed so , the test is a two tail test.

Since population standard deviation is unknown, so we use t-test.

Critical value (two-tailed) for significance level of 0.01= $t_{n-1,\alpha/2}=t_{49, 0.005}\pm2.609228$

For n =50 , $\overline{x}=8.6$ and s= 4.8

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

$t=\dfrac{8.6-9.4}{\dfrac{4.8}{\sqrt{50}}}\approx-1.18$

Since test statistic value (-1.18) lies in critical interval (-2.609228, 2.609228), it means the null hypothesis is failed to reject.

We do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%285x%20-%202%29%20%5Ctimes%20%28x%20%20%2B%202%29" id="TexFormula1" title="(5x - 2) \times (x

Mars2501 [29]

Answer:

5x^2 +8x-4

Step-by-step explanation:

(5x - 2) * (x + 2)

We can FOIL

first: 5x*x = 5x^2

outer : 2*5x = 10x

inner: -2x

last : -2*2 = -4

Add these together

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

5x^2 +8x-4

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tino4ka555 [31]

The answer is y2 = m(x2 – x1) + y1 i believe.

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tester [92]

Answer:

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3 years ago

What could be the base shape of a cylinder?

Len [333]

Answer:

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Step-by-step explanation:

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