Solve the problem.In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?

A. 1 to 3
B. 3 to 1
C. 4 to 1
D. 3 to 4


Answer: B

Mathematics

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Evaluate the integral by using a substitution prior to integration by parts.

A. x[cos (ln x) + sin (ln x)] + C
B. x cos (ln x) + sin (ln x)+ C
C. [cos (ln x) - sin (ln x)] + C
D. [cos (ln x) + sin (ln x)] + C

Mathematics

Provide an appropriate response.The graph of y = (x8)x has two horizontal tangent lines. Find equations for both of them.

A. y = e1/e and y = e-1/e B. y = e4/e and y = e-4/e  C. y = e8/e and y = e-8/e D. y = e8e and y = e-8e

Mathematics

Provide an appropriate response.In oblique triangle ABC, find the indicated part. Round to the nearest tenth.  Side b = 1, side c = 3, and angle A = 80°; find side a.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the standard form of the equation of a circle that satisfies the given conditions.Center (-8, 1) and passes through the point (-5, 5)

A. (x - 8)2 + (y + 1)2 = 25 B. (x + 8)2 + (y - 1)2 = 25 C. (x + 1)2 + (y - 8)2 = 9 D. (x - 1)2 + (y + 8)2 = 9

Mathematics