Indicate which property is illustrated in Step 4. Step 1(-5) + 5 + 2(12 + 2)=(-5) + 5 + (2 • 12) + (2 • 2)
Step 2 =(-5) + 5 + (24) + (4)
Step 3 =(-5) + 5 + 28
Step 4 =0 + 28
Step 5 =28
A.
inverse property of addition
B.
inverse property of multiplication
C.
associative property of multiplication
D.
commutative property of division

Benjamin is making bow ties. how many 1/2yards lomg bow ties can he make if he has 18 feet of fabric?

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

Find the values of the variables and the lengths of the sides of this kite.