Solve the problem.A company is conducting a sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 5% of its contents being winners, while 2% of the contents of box B are winners. Box A contains 25% of the total tickets. If the contents of both boxes are mixed in a drawer and a ticket is chosen at random, what is the probability it is a winner?
A. 0.028
B. 0.013
C. 0.07
D. 0.035
Answer: A
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Use Gauss's Divergence Theorem to calculate .F(x, y, z) = 4x3i + 4y3j + 4z3k; S: the thick sphere 25 ? x2 + y2 + z2 ? 36
A. ?
B. 1092?
C. ?
D. 223,248?
Factor the GCF from the polynomial.x2(2x + 2) + 2x(2x + 2) + 9(2x + 2)
A. (2x + 2)(x2 + 2x + 9) B. (2x + 2)(2x + 9) C. 2x(x2 + 2x + 11) D. (2x + 2)(x2 + 2x)
Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies directly with x. When x = 9, then y = 72.
A. k = ; y =
x
B. k = 63; y = x + 63
C. k = 9;y = 9x
D. k = 8; y = 8x
Solve the problem.During a poll, 11,800 people were asked whether they favored a particular ballot measure. 50% of them said they favored the measure. How many people favored the ballot measure?
A. 5900 people B. 5890 people C. 590 people D. 59,000 people