A study of the scores on an in-plant course in management principles and the years of service of the employees enrolled in the course resulted in these statistics: - Mean test score was 200 with a standard deviation of 40 - Mean number of years of service was 20 years with a standard deviation of 2 years. In comparing the relative dispersion of the two distributions, what are the coefficients of variation

Coefficient of Variation of test score = 20%

Coefficient of Variation of years of service = 10%

Step-by-step explanation:

We are given that Mean test score was 200 with a standard deviation of 40 and Mean number of years of service was 20 years with a standard deviation of 2 years.

          C.V. = = = 20% .

          C.V. = = = 10% .

14.29%

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.