All categories

3 years ago

What is the slope of the line? y + 5=2(x+1)

Mathematics

2 answers:

mel-nik [20]3 years ago

5 0

Answer:

Step-by-step explanation:

So we have the equation:

$y+5=2(x+1)$

This is in the format point-slope form, where:

$y-y_1=m(x-x_1)$

Here, m is the slope.

In our original equation, 2 replaces m.

Therefore, our slope is 2.

earnstyle [38]3 years ago

3 0

Answer:

Step-by-step explanation:

Put the line into slope intercept form:

y + 5 = 2(x+1)

Distribute the 2

y + 5 = 2x + 2

Isolate y to put into y = mx + b form

y = 2x - 3

So, the slope is 2 because it is the coefficient to x.

You might be interested in

Help with me on these plz!!!! :)

Inessa05 [86]

Answer:

_ (repeating)

3. d=3.16

4. v=1.4

5. b=3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

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: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$