I need to factor 2x squared plus 6X minus 80

1 answer:

hjlf3 years ago

8 0

2x*2 + 6x + 80

First we have to use distribution property

2(x*2 + 3x + 40)=0
Divide 2 to both sides

X*2 + 3x + 40=0

Multiply -1
-x*2 -3x-40=0
Add two numbers to get 3x
Multiply same two numbers that you add to get 40x*2

Add
-8x+5x= -3x

Multiply
-8x . 5x= -40x*2

-x*2-8x+5x-40

(X*2-8x) + (5x-40)

X(x-8)+ 5(X-8)

Common factor

(X-8)(x+5)

This would help you!

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It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to est

kenny6666 [7]

Answer:

$n=(\frac{2.58(1.2)}{0.25})^2 =153.36 \approx 154$

So the answer for this case would be n=154 rounded up to the nearest integer

Step-by-step explanation:

Assuming the following question: It is desired to estimate the mean GPA of each undergraduate class at a large university. How large a sample is necessary to estimate the GPA within 0.25 at the 99% confidence level? The population standard deviation is 1.2. If needed, round your final answer up to the next whole number.

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 margin of error is given by this formula:

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

And on this case we have that ME =0.25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 99% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.005;0;1)", and we got $z_{\alpha/2}=2.58$ , replacing into formula (b) we got: