A mathematics student goes out for ice cream to celebrate an A on her midterm. She decides on an ice creams sundae. The available flavors are Chocolate, Strawberry and Vanilla. The available toppings are Hot fudge, Caramel, Nuts, Sprinkles and Strawberries. (a) How many sundaes are possible if one flavor is selected and three different toppings are selected? (b) How many sundaes are possible if there are three scoops of ice cream each which may be of any flavor and two distinct toppings are selected?

Which of the following statements is true? a. the irrational number system is not closed under multiplication, because the product of two irrational numbers is always a rational number. b. the irrational number system is not closed under multiplication, because the product of two irrational numbers is not always an irrational number. c. the irrational number system is closed under multiplication, because the product of two irrational numbers is always an irrational number. d. the irrational number system is closed under multiplication, because the product of two irrational numbers is always a rational numbers. reset submit

Me on this i beg you on this to answer!

Naruto is choosing between two venues that will deliver food to his house. with probability 1/3 he will choose ramen mania (r), and with probability 2/3 he will choose sushi (s). if he chooses r, 15 minutes after making the call, the remaining time it takes the food to arrive is exponentially distributed with average 10 minutes. if he orders s, 10 minutes after making the call, the time it takes the food to arrive is exponentially distributed with an average of 12 minutes. given that he has already waited 25 minutes after calling, and the food has not arrived, what is the probability that he ordered from r? i am really stuck on how to set this up, so if you could be extra clear, that would be super ! in advance