Solve the problem.A child throws a ball with a speed of 9 feet per second at an angle of 39° with the horizontal. Express the vector described in terms of i and j. If exact values are not possible, round components to the nearest thousandth.
A. -6.994i + 5.664j
B. 5.664i + 6.994j
C. 6.994i + 5.664j
D. 5.664i - 6.994j
Answer: C
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Rewrite as an equivalent exponential equation. Do not solve.logw z = -15
A. (-15)w = z B. zw = -15 C. w-15 = z D. z-15 = w
Solve the linear inequality. Graph the solution set on a number line, and express the solution using interval notation.-4(6x + 1) < -28x + 12
A. (-?, 4]
B. (4, ?)
C. (-?, 4)
D. (-?, -2]
Find the expected value.A commercial building contractor is trying to decide which of two projects to commit her company to. Project A will yield a profit of $50,000 with a probability of 0.6, a profit of $84,000 with a probability of 0.3, and a profit of $10,000 with a probability of 0.1.Project B will yield a profit of $100,000 with a probability of 0.1, a profit of $66,000 with a probability of 0.7, and a loss of $20,000 with a probability of 0.2.Find the expected profit for each project. Based on expected values, which project should the contractor choose?
A. Project A:$56,200 Project B: $52,200 Contractor should choose project A B. Project A: $47,200 Project B: $52,200 Contractor should choose project B C. Project A: $56,200 Project B: $60,200 Contractor should choose project B D. Project A: $48,000 Project B: $48,666 Contractor should choose project A
Choose the closest estimate.Which is the closest to the height of a student desk?
A. 1 km B. 1 m C. 6 cm D. 5 m