Solve the problem.A twelve-sided die is weighted so that only the numbers 1 through 5 will appear and they will occur with the same probability. What probability should be assigned to each face?
What will be an ideal response?
The faces numbered 1 through 5 will each have the probability 
; faces numbered higher than 5 will each have probability 0.
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Solve the initial value problem.Differential Equation: 
= (7t - 8)i Initial Conditions: 
= -k, r(0) = 4i + 6j + 8k
A. r(t) = 
i + 6j + (8 - t)k
B. r(t) = 
i - 6j + (t - 8)k
C. r(t) = 
i + 6j + (8 - t)k
D. r(t) = 
i - 6j + (8 - t)k
Determine whether the sequence of vertices is i) a walk, ii) a path, iii) a circuit in the given graph.
L ? H ? G ? F ? B
A. Walk, path, and circuit B. Walk only C. None of these D. Walk and path
Simplify the given expression by giving the results in terms of one-half the given angle. Then use a calculator to verify the result.
A. 0.891 B. 0.642 C. 1.782 D. 1.2601
Write the statement in symbolic form to determine the truth value for the statement.Bombay is a city and Brazil is a country.
A. True B. False