For which set of probabilities would events a and b be independent? a. p(a) = 0.20; p(b) = 0.35; p(a and b.= 0.07 b. p(a) = 0.12; p(b) = 0.30; p(a and b.= 0.40 c. p(a) = 0.15; p(b) = 0.22; p(a and b.= 0.37 d. p(a) = 0.20; p(b) = 0.40; p(a and b.= 0.20

Which compound inequality could be represented by the graph?

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

The volume of a box varies directly with its length if a box in the group has a length of 30inches and k=24 what is its volume