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4 years ago

What is the product of (x+1) and (2x^2+3x-1)?

Mathematics

2 answers:

Andru [333]4 years ago

4 0

$(x+1)\cdot (2x^2+3x-1)=2x^3+3x^2-x+2x^2+3x-1=\\ \\=2x^3+5x^2+2x-1$

andreyandreev [35.5K]4 years ago

4 0

(x+1)(2x^2+3x-1)
x(2x^2)+x(3x)+x(-1)+1(2x^2)+1(3x)+1(-1)
2x^3+3x^2-1x+2x^2+3x-1
2x^3+5x^2+2x-1

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BaLLatris [955]

Answer:

The test statistic is $z = 1.25$

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

$H_0: p = 0.8$

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

$H_a: p > 0.8$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that $\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4$

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that $n = 100, X = \frac{85}{100} = 0.85$

The test statistic is

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}$

$z = 1.25$

The test statistic is $z = 1.25$

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3 years ago

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aivan3 [116]

I hope this helps you understand how to do the problem.

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3 years ago

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miskamm [114]

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We will use "Conditional probability ", i.e.

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Answer:

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