3.a yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. how many choices are possible for a single serving of frozen yogurt with one topping?
144
72
36
665,280
4.in how many different orders can you line up 8 cards on a table?
8
1
1,680
40,320
5.there are 10 students participating in a spelling bee. in how many ways can the students who go first and second in the bee be chosen?
1 way
90 ways
3,628,800 ways
45 ways

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

Consider circle h with a 3 centimeter radius. if the length of minor arc what is the measure of zrst?

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.