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ad-work [718]
3 years ago
6

(-2x-8) (-3x² + 4x+5)

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:6x^3+16x^2-42x-40

Step-by-step explanation:

To expand

(-2x-8)(-3x^2+4x+5)

6x^3-8x^2-10x+24x^2-32x-40

Collect like terms

6x^3-8x^2+24x^2-10x-32x-40

6x^3+16x^2-42x-40

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Divide up the number 480 in a 3:5 ratio.
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Step-by-step explanation:

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How to change 3.3 into a fraction
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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
Arturiano [62]

Answer:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791

So the answer for this case would be n=791 rounded up to the nearest integer

4 0
3 years ago
How many solutions are there to this equation?<br> 6x+15=6(x-3)
nadya68 [22]
There is approximately 1 solution for this equation
4 0
3 years ago
Please help me find the values of a and b so that the system shown had the given solution
Harman [31]

You could just put 0 for a and b.

It would work.

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3 years ago
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