Question: this is a math 1139 permutation and combinations (probability) they are going to choose 8 people. specifically, 3 will be chosen randomly out of 19 people who work in office b, and 2 will be chosen randomly out of 12 people who work in office c. i myself work in office a. how many different groups of 8 are possible under those conditions, and also how many groups are possible with me in them, and the probability that i would be in the group that gets to go?

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?

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 a third-degree polynomial equation with rational coefficients that has roots -2 and 6+i