EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 40, Problem 3A
To determine
The thickness of a sheet metal piece.
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In the past century, the average annual rainfall in Austin is 35.2 inches with standard deviation
8.4 inches. The annual rainfall is assumed to be normal.
A student is going to record the annual rainfall in 15 different locations in Austin. In this
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inches. Round answer to four decimal places.
(a) In this experiment, the average annual rainfall follows a
of the sample average annual rainfall is
distribution with the mean
inches and the standard deviation of the sample
average annual rainfall is
inches.
(b) The probability that the average annual rainfall will be between 34 to 36 inches is
(a) The sample average annual rainfall follows a
distribution.
The mean of sample average annual rainfall is
The standard deviation of sample average annual rainfall is
(b) The requested probability is
inches.
(Four decimal places.)
inches.
The amount of paint required to paint a surface with an area of 50 m² is normally distributed
with mean 6 L and standard deviation 0.2 L.
(a) If 6.2 L of paint are available. What is the probability that the entire surface can be painted?
(Round answer to four decimal places.)
(b) How much paint is needed so that the probability is 0.9 that the entire surface can be
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(c) There are three rooms, each of which is 50 m² and needs to be painted. What is the
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(a)
(b)
L
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A sample of 1,000 people was asked how many cups of coffee they drink in the morning. You are given
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200
0
1
300
2
350
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1000
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1.65
1.5
Chapter 40 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 40 - Prob. 1ACh. 40 - Prob. 2ACh. 40 - Prob. 3ACh. 40 - Prob. 4ACh. 40 - Measure the length of the line segment in Figure...Ch. 40 - Prob. 6ACh. 40 - In Exercises 7 and 8, refer to the number scale in...Ch. 40 - In Exercises 7 and 8, refer to the number scale in...Ch. 40 - In Exercises 9 and 10, select the greater of the...Ch. 40 - In Exercises 9 and 10, select the greater of the...
Ch. 40 - List the following signed numbers in order of...Ch. 40 - Express each of the following pairs of signed...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - Note: For Exercises 13 through 62 that follow,...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 17 through 20, subtract the following...Ch. 40 - In Exercises 21 through 24, multiply the following...Ch. 40 - In Exercises 21 through 24, multiply the following...Ch. 40 - Prob. 24ACh. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 25 through 28, divide the following...Ch. 40 - In Exercises 29 through 32, raise the following...Ch. 40 - Prob. 30ACh. 40 - In Exercises 29 through 32, raise the following...Ch. 40 - Prob. 32ACh. 40 - Prob. 33ACh. 40 - In Exercises 33 through 36, determine the...Ch. 40 - Prob. 35ACh. 40 - Prob. 36ACh. 40 - Prob. 37ACh. 40 - Prob. 38ACh. 40 - Prob. 39ACh. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 41ACh. 40 - Prob. 42ACh. 40 - Solve each of the following problems using the...Ch. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 45ACh. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 47ACh. 40 - Solve each of the following problems using the...Ch. 40 - Prob. 49ACh. 40 - Prob. 50ACh. 40 - Prob. 51ACh. 40 - Prob. 52ACh. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...Ch. 40 - Substitute the given numbers for letters in the...
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- Suppose that the cumulative distribution function of the random variable X is x 6) = (c) P(-1arrow_forwardFor the Big-M tableau (of a maximization LP and row0 at bottom and M=1000), Z Ꮖ 1 x2 x3 81 82 83 e4 a4 RHS 0 7 0 0 1 0 4 3 -3 20 0 -4.5 0 0 0 1 -8 -2.5 2.5 6 0 7 0 1 0 0 8 3 -3 4 0 -1 50 1 0 0 0-2 -1 1 4 0000 0 30 970 200 If the original value of c₁ is increased by 60, what is the updated value of c₁ (meaning keeping the same set for BV. -10? Having made that change, what is the new optimal value for ž?arrow_forwardHere is the optimal tableau for a standard Max problem. zx1 x2 x3 24 81 82 83 rhs 1 0 5 3 0 6 0 1 .3 7.5 0 - .1 .2 0 0 28 360 0 -8 522 0 2700 0 6 12 1 60 0 0 -1/15-3 1 1/15 -1/10 0 2 Using that the dual solution y = CBy B-1 and finding B = (B-¹)-¹ we find the original CBV and rhs b. The allowable increase for b₂ is If b₂ is increased by 3 then, using Dual Theorem, the new value for * is If c₂ is increased by 10, then the new value for optimal > is i.e. if no change to BV, then just a change to profit on selling product 2. The original coefficients c₁ = =☐ a and c4 = 5 If c4 is changed to 512, then (first adjusting other columns of row0 by adding Delta times row belonging to x4 or using B-matrix method to update row0) the new optimal value, after doing more simplex algorithm, for > isarrow_forwardPlease show in mathematical form.arrow_forwardSolve the system :- (1-x) dux (1+x) 3x + yox you to -you -y sy + (1-1) 14 + (1 + x)y. EXTERarrow_forward2. A Ferris wheel has its centre 10 m above the ground and a radius of 8 m. When in operation, it completes 5 revolutions every minute. a) Determine the equation of a sinusoidal function to represent the height of a rider, assuming the rider starts at the bottom of the Ferris wheel. b) Determine the height of the rider at 30 seconds.arrow_forward12. Determine an equation for the cosine function shown: 2π 凯 Marrow_forward1. Sketch a graph of: y = 2 sin (3x-377) +3. 2 Show your calculations for the transformation of 5 key points OR List all of the transformations.arrow_forward2. Use a compound angle formula to determine the exact value of sin 13π 12arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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