2. Write the following in the y=mx+ b form. Show all work.
a) - 2x + y = 8

Answer

- 2x + y = 8

+2x. + 2x

y = 2x + 8

hope this helps :)

Step-by-step explanation:

If we want to find the equation in slope-intercept form, or y=mx+b (m is the slope and b is the y-intercept), we must isolate y on one side of the equation.

We are given the equation:

-2x is being added to y. Since it is negative, we should add 2x to both sides of the equation.

According to the Commutative Property of Addition, we can switch 8 and 2x so it is in the form y=mx+b.

The equation is y=2x+8 (the slope, m, is 2 and the y-intercept, b, is 8).

(a)

(b) The best  point estimate of is the sample mean

The margin of error =  4.552

Step-by-step explanation:

Given : The confidence interval for the population mean =  (13.046 , 22.15)

Sample mean :

Standard deviation :

Sample size :

a. Let represents the population mean.

Then we can write the confidence interval for the population mean as :-

b. The best  point estimate of is the sample mean

Also, the lower limit of confidence interval can be written as

i.e.

Hence, the margin of error =  4.552