PLEASE NEED HELP (ASAP!)

What is an equation of the line that passes through the points (-2, -7) and (-1, -3)?

valentina_108 [34]

Answer:

y = 4x + 1

Step-by-step explanation:

Find slope, rise over run

$\frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{-3--7}{-1--2} = \frac{4}{1} = 4$

find y intercept by plugging in one of the coordinates in y=mx+b, including m=4

-7 = 4(-2) + b

1 = b

3 0

3 years ago

Read 2 more answers

Can someone help me?

skad [1K]

Answer:

SHEEEESSSHHHH

Step-by-step explanation:

that looks hard

5 0

3 years ago

4( 3x + 1.5) + 5x solve please

svlad2 [7]

Answer:

Step-by-step explanation:

12x + 6 + 5x

collect like terms

12x + 5x + 6

17x + 6

5 0

3 years ago

If the length of a rectangle is (x+5) and the width is (x+2), what is the area of the rectangle?

BARSIC [14]

Answer: x^2+7x+10

Step-by-step explanation:

8 0

3 years ago

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

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".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 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)

The margin of error is given by:

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

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

Now we have everything in order to replace into formula (1):

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

3 years ago