Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, , E7 denote the sample points. The following probability assignments apply: P(E1) = 0.15, P(E2) = 0.20, P(E3) = 0.05, P(E4) = 0.25, P(E5) = 0.10, P(E6) = 0.20, and P(E7) = 0.05. Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}. (a) Find P(A), P(B), and P(C). P(A) = P(B) = P(C) = (b) Find A ∪ B. (Enter your answer in set notation.) A ∪ B = Find P(A ∪ B). P(A ∪ B) = (c) Find A ∩ B. (Enter your answer in set notation.) A ∩ B = Find P(A ∩ B). P(A ∩ B) = (d) Are events A and C mutually exclusive? They mutually exclusive. (e) Find BC. (Enter your answer in set notation.) BC = Find P(BC). P(BC) =

Scrub a dub toothbrushes are $4.00 each. there is a 10% discount, but there is also a 6% sales tax after the discount is applied. what is the new price after tax? round to the nearest penny

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

At oaknoll school, 90 out of 270 students on computers. what percent of students at oak knoll school do not own computers? round the nearest tenth of a percent.