Write a algebraic expression for each sentence. 1.The teacher has x number of candies in his/her bag.
2.Bag #1 contains four more than twice the number of candies in the teacher’s bag
3.Bag #2 contains three times the number of candies in the teacher’s bag
4. Bag #3 contains 10 more candies than the teacher’s bag
5.Bag #4 has 5 less than 4 times the number of candies as the teacher
6.Bag #5 has half as many candies as Bag #1
7.Bag #6 has 1/6 the number of candies in Bag #2
8.Bag #7 has one more than three times the number of candies in the teacher’s bag
9.Bag #8 contains four less candies than Bag #3
10.Bag #9 has twice the sum of the amount of candies in the teacher’s bag and four
11.Bag #10 has six more than half of the candies in bag #3
12.If Bag #4 = Bag #7 then how much is in the teacher's bag?

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