Solve the problem.In a complete graph with 16 vertices (A through P), the total number of Hamilton paths that start at vertex A, pass through vertex D after traversing exactly three edges, and end at vertex P is
A. 14!
B. 13!
C. 3! × 12!
D. 16!
E. none of these
Answer: B
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Write the number in scientific notation.A beam of light can travel from my house to yours in 600 nanoseconds. (the prefix nano means one billionth).
A. 6 × 10-9 B. -6 × 107 C. 6 × 10-7 D. 6 × 10-6
Solve the problem.The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 6.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 5.0 and 7.5 minutes to find a parking spot in the library lot.
A. 0.2255 B. 0.0919 C. 0.7745 D. 0.4938
Evaluate the expression for the values given.(4x)2 - 10x for x = 3
A. 6 B. 114 C. 18 D. 134
Factor completely. If the polynomial is prime, state so.81k3m - 375m4
A. (9km - 15m2)(9k2 + 25m2) B. 3m(27k - 5m)(k2 + 15km + 25m2) C. 3m(3k + 5m2)(9k2 - 15km + 25km2) D. 3m(3k - 5m)(9k2 + 15km + 25m2)