Betty and dyan can pick 8 quarts of strawberries in 45 minutes if they work together. it takes dyan x minutes to pick 8 quarts of strawberries alone.

what does the denominator of the rational expression 45x−10 mean in the context of this situation?

a. the denominator represents the rate at which dyan picks 8 quarts of strawberries.

b. the denominator represents the time it takes betty to pick 8 quarts of strawberries if she takes 10 more minutes than dyan.

c. the denominator represents the time it takes betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than dyan.

d. the denominator represents the rate at which betty picks 8 quarts of strawberries.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above