The solution to the system of equation below is (−2, −1). 2x − 3y = −1 11x − 9y = −13 When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10. Which system of equations will also have a solution of (−2, −1)? 5x = −10 11x − 9y = −13 2x + 9y = −1 11x − 9y = −13 −6x + 9y = −1 11x − 9y = −13 −6x + 3y = −1 5x = −10

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