The value of the correlation coefficient r is useful indicator of the strength of an association between two variables when 1) one variable is numerical and the other is nominal
2) both variables are categorical
3) both variables are numerical and the association is linear
4) one variable is nominal and the other ordinal
5) none of the above

the correct answer is d

hope this

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32

14

step-by-step explanation:

14