Answer:
The y-intercept is (0, -6).
Step-by-step explanation:
The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.
To find the slope of line j, you would use the slope formula:
.
- Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for
and 1 for
. Substitute -3 for
and 4 for
. 
- The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.
To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).
- Point-slope form is

- Substitute 1 for
, 1 for m, and 7 for
. 
- Simplify: y - 1 = 1(x - 7)
- Distribute 1 inside the parentheses.
- y - 1 = x - 7
- Add 1 to both sides of the equation.
- y = x - 6
The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.
- y = (0) - 6
- Subtract 0 - 6.
- y = -6
A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).
Part A: Scatter plot with best-fit line attached. You'll find the line to have equation (approximately)

The positive slope suggests that test scores and study time are directly are proportional.
Part B: Same as in a previous question you had posted. Pick two points on the provided line and compute the slope as best you can. For example, I might pick (2, 30) and (4, 40), which gives a slope of

and assuming the line passes through (2, 30) exactly, it would have equation

Since 9% of the students who enrolled at Anderson are in band and band members are 180 in total. Then it is right to say that the percentage of 180 students out of x students is equal to 9%
Answer:
5
Step-by-step explanation:
p=45/9
Answer:
Michael
Step-by-step explanation:
Look at the table below:
The probability of selecting a sale that was made by Quentin is .30, by Michael is .45 and by Bubba is .25.
Since Quentin completes paperwork 90% of the time, he doesn't complete paperwork 10% of the time, following this reasoning we can say that Michael doesn't complete paperwork 20% of the time and Bubba doesn't complete paperwork 15% of the time.
The probability of selecting a file and that it belongs to Quentin AND is incomplete is:
(Probability of selecting a Quentin's file) x (Probability is a Quentin incomplete file) = (0.30)(0.10) = 0.03
Using this same method we have that the probability that it belongs to Michael and is incomplete is (.45)(.20) = 0.09
That it belongs to Bubba and it's incomplete is (0.25)(0.15) = 0.037
The highest of these probabilities is the one that corresponds to Michael: 0.09, therefore he is the most likely culprit.