Solve the compound inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line.-1 < x - 1 ? 4

A. [0, 5)

B. [-2, 3)

C. (0, 5]

D. (-2, 3]


Answer: C

Mathematics

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At the given point, find the line that is normal to the curve at the given point.x3y3 = 8, normal at (2, 1)

A. y = 2x - 3
B. y = x
C. y = -2x + 5
D. y = - x + 2

Mathematics

Solve the equation for solutions in the interval [0°, 360°).sin 2? = cos ?

A. ? = 0°, 120°, 180°, 240° B. ? = 105°, 165°, 285°, 345° C. ? = 15°, 165°, 195°, 345° D. ? = 30°, 90°, 150°, 270°

Mathematics

Solve the problem.100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the person does not work full time.1. Public transportation: 6 full time, 8 part time2. Bicycle: 5 full time, 3 part time3. Drive alone: 30 full time, 32 part time4. Car pool: 7 full time, 9 part time

A. 0.52 B. 0.32 C. 0.49 D. 0.48

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?

A. $300,000 B. $360,000 C. $60,000 D. $218,400

Mathematics