Solve the problem.Suppose we roll a regular six-sided die twice and note whether it lands as an even number (E) or an odd number (O) on each roll. The sample space for this random experiment is
A. {E, O}.
B. {E, E, O, O}.
C. {EE, EO, OO}.
D. {EE, EO, OE, OO}.
E. none of these
Answer: D
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Factor.8x3 - 1000y3
A. (8x - 5y)(x2 + 5y + 200y2) B. 8(x - 5y)(x2 + 25y2) C. 8(x + 5y)(x2 - 5xy + 25y2) D. 8(x - 5y)(x2 + 5xy + 25y2)
Solve the problem.The owners of a large factory complex plan to install a new network of water lines to supply water to five factory buildings. The building numbers of the buildings involved are: #12, #14, #15, #17, and #18. The distances in meters between these buildings are given in the following table.
a) Represent this information with a weighted, complete graph.b) Use Kruskal's algorithm to find a minimum-cost spanning tree that would link each building to give the least-expensive pipe network.c) If the water line cost is $700 per meter, determine the cost of the network in part (b).
What will be an ideal response?
Provide an appropriate response.Let f(x) = 9(2x), and consider the sequence f(1), f(2), f(3), . . . . Is this a geometric sequence, and if so, what is the common ratio?
A. Yes; 2 B. Yes; x C. Yes; 9 D. No
Use dimensional analysis to convert 0.3 days to minutes.
What will be an ideal response?