Mario tried to solve an equation step by step. \begin{aligned} \dfrac43&=q+\dfrac13 \dfrac43-\dfrac13&=q+\dfrac13-\ dfrac13&\green{\text{Step } 1} \dfrac23&=q&\blue{\text{Ste p } 2} \end{aligned}
3
4


3
4

−
3
1


3
2




=q+
3
1


=q+
3
1

−
3
1


=q


Step 1
Step 2


Find Mario's mistake.
Choose 1
Choose 1

(Choice A)
A
\green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b

(Choice B)
B
\blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed

(Choice C)
C
Mario did not make a mistake.

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

Julie begins counting backwards from 1000 by 2’s and at the same time tony begins counting forward from 100 by 3’s.   if they count at the same rate, what number will they say at the same time?

Will positive numbers always have a higher absolute value than negative numbers?