Find the expected value.Suppose that 1,000 tickets are sold for a raffle that has the following prizes: one $300 prize, two $100 prizes, and one hundred $1 prizes. What is expected value of a ticket?
A. $300
B. $0.60
C. $1
D. $100
Answer: B
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Find the area of the specified region.Inside the cardioid r = ?(1 + sin ?), ? > 0
A. 
B. 
+ 2?2
C. 2??
D. 
- 2?2
A homecoming committee is to be comprised of seniors, juniors, and sophomores. A total of 37 students will be chosen for the committee. There will be twice as many seniors as juniors, and three more seniors than the sum of sophomores and juniors. How many of each class will be chosen for the committee? ??
A. 22 seniors, 11 juniors, 8 sophomores B. 18 seniors, 9 juniors, 6 sophomores C. 20 seniors, 10 juniors, 7 sophomores D. 22 seniors, 11 juniors, 4 sophomores E. 18 seniors, 9 juniors, 10 sophomores
Write y as an affine combination of the other points listed.v1 = 
, v2 = 
, v3 = 
, y = 
A. y = 2v1 + 3v2 - 4v3 B. y = 7v1 + 3v2 - 4v3 C. y = -3v1 - 2v2 + 6v3 D. y = 3v1 - 4v2 + 2v3
Simplify the radical expression. Write the answer in radical form when appropriate.
12
A. x20yz12 B. x20y4z3 C. x5y4z3 D. x20y4z12