Explanation Approach: The normal curve is symmetric with respect to its mean. Figure 1 From Figure 1, observe that the total area under the curve is 1. Calculation: Since the normal curve is symmetric, the area to the left of normal curve is 0.5 and area to the right is 0.5. Area above the score lies to the right of z = 0 and the area below the score lies to the left of z = 0. When 90% of the area is below the score, 10% of the area will be above the score

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ISBN: 8220103632027

Author: Pirnot

Publisher: Pearson Education (US)

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Chapter 14.4, Problem 34E

To determine

To find:

The z-score such that 90% of the area under the standard normal curve is below the score.

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Chapter 14.4, Problem 33E

Chapter 14.4, Problem 35E

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1. Abel's Theorem. The goal in this problem is to prove Abel's theorem by following a series of steps (each step must be justified). Theorem 0.1 (Abel's Theorem). If y1 and y2 are solutions of the differential equation y" + p(t) y′ + q(t) y = 0, where p and q are continuous on an open interval, then the Wronskian is given by W (¥1, v2)(t) = c exp(− [p(t) dt), where C is a constant that does not depend on t. Moreover, either W (y1, y2)(t) = 0 for every t in I or W (y1, y2)(t) = 0 for every t in I. 1. (a) From the two equations (which follow from the hypotheses), show that y" + p(t) y₁ + q(t) y₁ = 0 and y½ + p(t) y2 + q(t) y2 = 0, 2. (b) Observe that Hence, conclude that (YY2 - Y1 y2) + P(t) (y₁ Y2 - Y1 Y2) = 0. W'(y1, y2)(t) = yY2 - Y1 y2- W' + p(t) W = 0. 3. (c) Use the result from the previous step to complete the proof of the theorem.

eBook Print Item Question Content Area Support Department Cost Allocation—Reciprocal Services Method Blue Africa Inc. produces laptops and desktop computers. The company’s production activities mainly occur in what the company calls its Laser and Forming departments. The Cafeteria and Security departments support the company’s production activities and allocate costs based on the number of employees and square feet, respectively. The total cost of the Security Department is $261,000. The total cost of the Cafeteria Department is $300,000. The number of employees and the square footage in each department are as follows: Department Employees Square Feet Security 10 570 Cafeteria 28 2,400 Laser 40 4,800 Forming 50 800 Using the reciprocal services method of support department cost allocation, determine the total costs from the Security Department that should be allocated to…

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Chapter 14 Solutions

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The z -score such that 90% of the area under the standard normal curve is below the score.

To find: The z-score such that 90% of the area under the standard normal curve is below the score.

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Chapter 14 Solutions

To find:

The z-score such that 90% of the area under the standard normal curve is below the score.