Solve the problem.In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place winner, and third place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?
A. 
B. 
C. 
D. 
Answer: C
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Solve the problem.The positions of two particles on the s-axis are s1 = sin t and 
with s1 and s2 in meters and t in seconds.At what time(s) in the interval 0 ? t ? 2? do the particles meet?
A. t = 
? sec and t = 
? sec
B. t = 
? sec and t = 
? sec
C. t = ? sec and t = 2? sec
D. t = 
? sec and t = 
? sec
Solve the problem.During an intramural basketball game, Team A scored 16 fewer points than Team B. Together, both teams scored a total of 142 points. How many points did Team A score during the game?
A. 79 points B. 71 points C. 64 points D. 63 points
The probability that exactly k successes occur when a binomial trial is repeated independently n times and the probability of success on any given trial p is
A. 1 - p.
B. 
pn-k (1 - p)k.
C. 
.
D. pk (1 - p) n-k.
E. none of these
Determine whether the partial fraction decomposition is correct by graphing the left side and the right side of the equation on the same coordinate system and observing whether the graphs coincide. (yes = coincide, no = does not coincide)
= 
+ 
A. No B. Yes