3. Let G = Z20 and H =<5>, a. Find the index of H in G. b. List the elements of G/H. Construct a Cayley Table for G/H d. Find the order of the elements 3+<5> and 14+<5> e. Is G/H cyclic? Justify.

List the elements of U(18).

1. A local health official notices that as the number of people on the beach decreases, the number of new cases of COVID-19 also decreases. This would be an example of what type of relationship? A positive relationship. A negative relationship. A strong relationship. A moderate relationship.

10:31 Determine whether the scatter diagram indicates that a linear relation may exist between the two variables. If the relation is linear, determine whether it indicates a positive or negative association between the variables. Use this information to answer the following. O A. The variables have a negative association. B. The variables have a positive association. C. The relationship is not linear. ||| 400- 300- 200- = 100+ 0- O 0 VO) 1 22 ...| 46 | 1 16% 2 Explanatory Do the two variables have a linear relationship? O A. The data points have a linear relationship because B. The data points do not have a linear relationship they lie mainly in a straight line. because they lie mainly in a straight line. $ OC. The data points have a linear relationship because O D. The data points do not have a linear relationship they do not lie mainly in a straight line. because they do not lie mainly in a straight line. If the relationship is linear do the variables have a positive or negative…