Consider this equation. 12x+12=8+4( x+1) Which could be a correct first step to solve the equation? Select all the steps that apply. A. Distribute 4 to the quantity ( x+1). B. Add − 8 to each side of the equation. C. Distribute 12 to the quantity ( x+1). D. Multiply each side of the equation by 2. E. Subtract 12 from each side of the equation. F. Add together the 8 and the 4 on the right side of the equation. G. Multiply the left side of the equation by 2 to eliminate the fraction.

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