A large firm that owns a chain of grocery stores wanted to see if they could increase the average number of patrons who visit by implementing a rewards member program. To test this, they randomly chose half of their 60 locations and started the rewards program only at those locations, while the other half of locations did not receive the rewards program. They also collected information the amount of money spent on these extra customers. Which of these answers represents an element of randomization in this study? a. use a computer program to select the locations have a rewards program and those that don't
b. have an unbiased person just pick half of the stores to have the rewards program
c. allow store managers to volunteer

a. use a computer program to select the locations have a rewards program and those that don't.

Step-by-step explanation:

Randomization refers to an important statistical procedure used to eliminate bias in a study. With randomization, all subjects in the study possess equal chances of being selected. In the study scenario described above, randomly choosing half of their total location to partake in the reward program would involve the use of a technique which isn't liable of introducing bias into the study either deliberately or systematically. The use of store managers or other human in the selection process won't be totally convincing at preventing bias. Hence, a computer program will do.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2