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xenn [34]
4 years ago
8

Factor completely: 2x^3 – 32x

Mathematics
1 answer:
anastassius [24]4 years ago
7 0
2x^3-32x= \\
2x(x^2-16)= \\
2x(x^2-4^2)= \\
\boxed{2x(x+4)(x-4)} \Leftarrow
\hbox{answer B}
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Step-by-step explanation:

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A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (
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t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864

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And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

\mu=7 population mean (variable of interest)

\sigma=0.2 represent the population standard deviation

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Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: \sigma = 0.2

H1: \sigma \neq 0.2

In order to check the hypothesis we need to calculate the statistic given by the following formula:

t=(n-1) [\frac{s}{\sigma_o}]^2

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

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P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

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And the 2 is because we are conducting a bilateral test.

\alpha=0.05 since the the p_v >0.05 we fail to reject the null hypothesis.

\alpha=0.01 since the the p_v >0.01 we fail to reject the null hypothesis.

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3 years ago
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90 questions got 18 wrong what's the percent for correct
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