Students who live in the dorms at a college get free T. V. service in their rooms, but only receive 6 stations. On a certain evening, a student wants to watch T. V. and the six stations are broadcasting separate shows on baseball, football, basketball, local news, national news, and international news. Two students in their rooms are too tired to check which channels the shows are playing on, so they pick a channel at random. The two events, N= {the student watches football} and A = {the student watches an athletic event} areA) independent events. B) disjoint (mutually exclusive) events. C) each simple events. D) None of the above.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

What is the total area of the figure?

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? )