6. The scatter plot shows the median household income, x, in thousands of dollars, and the number of adults per 1,000 people with bachelor's degrees, y, of 50 U. S. states.

The line y = 4.08x + 63.13 is a good fit for this data.

m = 4.08

Step-by-step explanation:

The line that fits good for the given data is given by :

y = 4.08x + 63.13

We need to find the slope of the given line.

The general equation of the line is given by :

y = mx +c

Where

m is slope of the line

c is y-intercept

So, the slope of the given line is 4.08.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x