Jessica solved the radical equation square root of quantity a plus 4 end quantity equals 7 period Her math work is shown in the table. Step Justification
square root of quantity a plus 4 end quantity equals 7 Given
Step 1 square root of quantity a plus 4 end quantity all squared equals 7 squared Square both sides
Step 2 a + 4 = 14 Simplify
Step 3 a + 4 − 4 = 14 − 4 Subtract 4 from both sides
Step 4 a = 10 Simplify
Step 5 square root of quantity 10 plus 4 end quantity does not equal 7 Check for extraneous solutions
In which step did Jessica make her first error?

Group of answer choices

Step 1

Step 2

Step 3

Step 5

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