The table and scatter plot show the time spent texting, x, and the time spent exercising, y, by each of 10 students last week.
The equation of the line of best fit is y= -0.4x + 6.78.
2.8
Time spent
exercising
(in hours)
Time spent time spent
texting, x exercising, y
(in hours) (in hours)
2.0
6.55
2.2
5.48
7.00
3.5
5.15
4.0
4.50
4.5
4.30
5.0 5.45
5.5
3.31
5.5
6.10
5.50
Time spent texting
(in hours)
Use the equation of the line of best fit to fill in the blanks below.
Give exact answers, not rounded approximations.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

ed sheeran was one of the winners?

step-by-step explanation:

google xd

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft