Solve the problem.In a certain animal species, the probability that a female will have 0, 1, 2, 3, or 4 offspring in a given year is .31, .21, .19, .17, and .12 respectively. Find the expected number of offspring.
A. 2
B. 1.58
C. 1.38
D. 1.75
Answer: B
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In the indicated voting system, the weights represent, in order, voters A, B, C, and so on. Write out all of the winning coalitions.[23 : 3, 5, 6, 8, 9]
A. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E}, {C, D}, {D, E} B. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E}, {A, B, C, E}, {C, D, E} C. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {A, B, D, E} D. {A, B, C, D, E}, {B, C, D, E}, {A, C, D, E}, {C, D, E}
Solve the problem.A company makes three chocolate candies: cherry, almond, and raisin. Matrix A gives the amount of ingredients in one batch. Matrix B gives the costs of ingredients from suppliers R and S. What is the cost of 100 batches from supplier S? 
A = 
B = 
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A. $16,500
B. $6,600
C. $13,200
D. $12,000
Name the fraction that makes the following true.
x = 28
x = 28 ? 
x = 20
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Solve the problem.A barge takes 5 hours to move (at a constant rate) downstream for 45 miles, helped by a current of 2 miles per hour. If the barge's engines are set at the same pace, find the time of its return trip against the current.
A. 9 hr B. 90 hr C. 5 hr D. 7 hr