1. the table shows the soil density of several soil samples at different depths.
depth (m)
1
5
6
8
10
12
14
21
23
24
28
soil density ()
1052
1073
1112
1149
1171
1252
1219
1244
1267
1251
1264

(a) write the equation of the regression line that models the data. let x = depth below the surface and let y = soil density. (use the highlighted points to calculate your equation)
(b) use the equation to estimate the soil density of a sample at a depth of 20 m. show your work.

Find the coordinates of point x that lies along the directed line segment from y(-8, 8) to t(-15, -13) and partitions the segment in the ratio of 5: 2.

E. which of the following is not a possible probability? a. 25/100 b. 1.25 c. 1 d. 0

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.