Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 63, Problem 6A
To determine
The circular pitch of a gear.
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Consider the probability distribution below.
0
1
3
f(x)
0.3
0.3
0.4
E(X)=1.5. The variance of XV (X) equals
1.65
○ 1.28
1.56
2.33
Consider the probability distribution below.
10
20
30
40
f(x)
0.3
0.4
0.2
0.1
The expected value of X equals
100
○ 25
○ 18
○ 21
The analysis of results from a leaf transmutation experiment (turning a leaf into a petal) is
summarized by the type of transformation completed:
A naturalist randomly selects three leaves from this set without replacement.
Total Textural
Transformation
Yes
No
Total
Yes
243
26
269
Total Color
Transformation
No
13
18
31
Total
256
44
300
Let X represent the number of leaves that have undergone both transformations.
The appropriate probability distribution of X is a
distribution.
The parameters are population size N =
size n =
number of events K =
and sample
The probability that at least one leaf has undergone both transformations is
probability to four decimal places.)
X has a
N
=
K=
n =
The requested probability is
distribution.
(Round the
Chapter 63 Solutions
Mathematics For Machine Technology
Ch. 63 - A rectangular strip of steel 2 ft 4 in. long, 1 ft...Ch. 63 - In order to make a conical duct, a circular sheet...Ch. 63 - A square bar 78 in. on a side is to be milled from...Ch. 63 - Construct a regular hexagon 3 cm on a side. By...Ch. 63 - Two angles of a triangle measure 7318' and 4947'....Ch. 63 - Prob. 6ACh. 63 - Prob. 7ACh. 63 - Prob. 8ACh. 63 - Prob. 9ACh. 63 - Prob. 10A
Ch. 63 - Solve these exercises. Where necessary, round the...Ch. 63 - Prob. 12ACh. 63 - A vessel is in the shape of a right circular cone....Ch. 63 - Prob. 14ACh. 63 - Prob. 15ACh. 63 - A piece in the shape of a pyramid with a regular...Ch. 63 - Prob. 17ACh. 63 - Solve these exercises. Where necessary, round the...Ch. 63 - Prob. 19ACh. 63 - Prob. 20ACh. 63 - Prob. 21ACh. 63 - Solve these exercises. Where necessary, round the...Ch. 63 - Prob. 23ACh. 63 - Prob. 24ACh. 63 - Prob. 25ACh. 63 - The container is in the shape of a frustum of a...Ch. 63 - A steel forging is in the shape of a frustum of a...Ch. 63 - Find the volume of the frustum of a right circular...Ch. 63 - Prob. 29ACh. 63 - The side view of a tapered steel shaft is shown....Ch. 63 - A zinc casting is in the shape of a frustum of a...Ch. 63 - A piece in the shape of a frustum of a pyramid...Ch. 63 - Find the volume of a hollow machined steel piece...Ch. 63 - Prob. 34A
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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 the following sample information. Cups of Coffee Frequency 200 0 1 300 2 350 3 150 1000 Total Frequencies The expected number of cups of coffee that each person drinks in the morning is O 1.0 1.45 1.65 1.5arrow_forwardSuppose 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_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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