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. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000
B. $300,000
C. $270,000
D. $239,400
Answer: D
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Solve the problem.The Tasmania State University football team has 11 starting players on their offense. The coach must select an order in which they will be introduced for the last game of the season. How many different possibilities are there?
A. 112 B. 11! C. 11 D. 211 - 1 E. none of these
Allocate overhead as indicated. Round to the nearest dollar.Wandell's Engineering allocates an overhead of $44,000 according to the number of employees per department. Find the allocation for each department.Department Number of EmployeesOffice 5Sales 25Field 45Engineering 35
A. $14,000 to Office $10,000 to Sales $18,000 to Field $2000 to Engineering B. $2050 to Office $10,250 to Sales $17,350 to Field $14,350 to Engineering C. $2000 to Office $10,000 to Sales $18,000 to Field $14,000 to Engineering D. $5 to Office $25 to Sales $45 to Field $35 to Engineering
Complete the square and write the equation in standard form. Then give the center and radius of the circle.x2 + y2 + 6x + 8y + 25 = 16
A. (x + 4)2 + (y + 3)2 = 16 (-4, -3), r = 4 B. (x + 3)2 + (y + 4)2 = 16 (3, 4), r = 16 C. (x + 4)2 + (y + 3)2 = 16 (4, 3), r = 16 D. (x + 3)2 + (y + 4)2 = 16 (-3, -4), r = 4
Solve the problem.A rain gutter is made from sheets of aluminum that are 18 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to flow.
A. 4.5 inches B. 5.5 inches C. 5 inches D. 4 inches