Afaculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y). consequently, the group considered the straight-line regression model e(y)equalsbeta 0plusbeta 1x. using the method of least squares, the faculty group obtained the following prediction equation. interpret the estimated slope of the line. modifyingabove y with caretequals14,000minus2,000x a. for a $1 increase in an administrator's raise, we estimate the administrator's rating to decrease 2,000 points. b. for a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase $2,000. c. for a 1-point increase in an administrator's rating, we estimate the administrator's raise to decrease $2,000. d. for an administrator with a rating of 1.0, we estimate his/her raise to be $2,000.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

What is the geometric mean of 3 and 7? a) square root of 21 b) 2 square root of 6 c) 2 square root of 7 d) 21