1 -
Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.
System A
The system has no solution.
O The system has a unique solution:
(x, y) = 00
6x - y=-5
- 6x + y =5
O The system has infinitely many solutions
System B
The system has no solution.
The system has a unique solution:
x + 5y = 11
-x + 5y = 9
(x, y) = 0,0
The system has infinitely many solutions.

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