Solve the problem.Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is not 5?

A. 19 :1
B. 19 :2
C. 9 : 1
D. 21 : 2


Answer: B

Mathematics

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Find the potential function f for the field F.F = (y - z)i + (x + 2y - z)j - (x + y)k

A. f(x, y, z) = xy + y2 - xz - yz + C B. f(x, y, z) = x(y + y2) - xz - yz + C C. f(x, y, z) = xy + y2 - x - y + C D. f(x, y, z) = x + y2 - xz - yz + C

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Find the area of the shaded region in the figure. Round results to the nearest unit. Use ? ? 3.14.

A. 80 mm2 B. 49 mm2 C. 134 mm2 D. 99 mm2

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Write the product as a sum or difference of trigonometric functions.8 sin 57° cos 101°

A. 4[sin 158° - sin(-44°)] B. 4[sin 158° + sin(-44°)] C. 4[cos 158° + cos(-44°)] D. 8[cos 158° + cos(-44°)]

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Solve the problem.Jay drove 390 kilometers at the average rate of 78 kilometers per hour. How long did the trip take?

A. 4 hr 
B.  hr
C. 5 hr 
D. 6 hr 

Mathematics