Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 40, Problem 143A
To determine
The value of given expression.
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3. Suppose you have 12 professors in a department and you have to chose members of departmental
committees.
(a) How many ways can you pick members for one 4 people committee?
(b) How many ways can you pick members for two different 4 people committees if no-one can serve
on both committees?
(c) How many ways can you pick members for two different 4 people committees if people can serve
on both committees?
(d) How about if you need members for a 4 person, a 5 person, and a 3 person committee, people
cannot serve on more than one committee?
(e) How about if you need members for a 4 person, a 5 person, and a 3 person committee, people can
serve on more than one committee?
(f) How about if you need members for a 4 person, a 5 person, and a 3 person committee, people
cannot serve on more than one committee, and the first person chosen for each committee serves
as chair?
Q4
3 Points
1
Let A =
2
3 7
5 11
Give one nontrivial solution X of the homogeneous system Ax = 0. (Your
vector x should have explicit numbers as its entries, as opposed to variables/parameters). Show
your work for how you found it.
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4. Assume that a risk-free money market account is added to the market described in Q3.
The continuously compounded rate of return on the money market account is log (1.1).
(i) For each given μ, use Lagrange multipliers to determine the proportions (as a
function of μ) of wealth invested in the three assets available for the minimum
variance portfolio with expected return μ.
(ii) Determine the market portfolio in this market and calculate its Sharp ratio.
Chapter 40 Solutions
Mathematics for Machine Technology
Ch. 40 - Add (9x2y+xy5xy2),(3x2y4xy+5xy2) and (7x2y+3xy)Ch. 40 - Multiply the signed numbers -16.2, 12.3, and -4.5.Ch. 40 - Use the proper order of operations to simplify...Ch. 40 - Prob. 4ACh. 40 - Prob. 5ACh. 40 - Prob. 6ACh. 40 - Divide the following terms as indicated. 4x22xCh. 40 - Divide the following terms as indicated....Ch. 40 - Prob. 9ACh. 40 - Divide the following terms as indicated. FS2FS2
Ch. 40 - Divide the following terms as indicated. 014mnCh. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated. DM2(1)Ch. 40 - Divide the following terms as indicated. 3.7ababCh. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated....Ch. 40 - Prob. 22ACh. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following terms as indicated. 34FS3(3S)Ch. 40 - Divide the following terms as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Divide the following expressions as indicated....Ch. 40 - Prob. 36ACh. 40 - Divide the following expressions as indicated....Ch. 40 - Prob. 38ACh. 40 - Prob. 39ACh. 40 - Prob. 40ACh. 40 - Raise the following terms to indicated powers....Ch. 40 - Prob. 42ACh. 40 - Prob. 43ACh. 40 - Prob. 44ACh. 40 - Prob. 45ACh. 40 - Prob. 46ACh. 40 - Prob. 47ACh. 40 - Prob. 48ACh. 40 - Prob. 49ACh. 40 - Prob. 50ACh. 40 - Prob. 51ACh. 40 - Prob. 52ACh. 40 - Prob. 53ACh. 40 - Prob. 54ACh. 40 - Prob. 55ACh. 40 - Prob. 56ACh. 40 - Prob. 57ACh. 40 - Prob. 58ACh. 40 - Prob. 59ACh. 40 - Prob. 60ACh. 40 - Prob. 61ACh. 40 - Prob. 62ACh. 40 - Prob. 63ACh. 40 - Prob. 64ACh. 40 - Prob. 65ACh. 40 - Prob. 66ACh. 40 - Prob. 67ACh. 40 - Prob. 68ACh. 40 - Prob. 69ACh. 40 - Prob. 70ACh. 40 - Determine the roots of the following terms. 81x8y6Ch. 40 - Prob. 72ACh. 40 - Prob. 73ACh. 40 - Prob. 74ACh. 40 - Prob. 75ACh. 40 - Prob. 76ACh. 40 - Prob. 77ACh. 40 - Prob. 78ACh. 40 - Prob. 79ACh. 40 - Prob. 80ACh. 40 - Prob. 81ACh. 40 - Prob. 82ACh. 40 - Prob. 83ACh. 40 - Prob. 84ACh. 40 - Prob. 85ACh. 40 - Prob. 86ACh. 40 - Prob. 87ACh. 40 - Prob. 88ACh. 40 - Prob. 89ACh. 40 - Prob. 90ACh. 40 - Prob. 91ACh. 40 - Prob. 92ACh. 40 - Prob. 93ACh. 40 - Prob. 94ACh. 40 - Prob. 95ACh. 40 - Prob. 96ACh. 40 - Prob. 97ACh. 40 - Prob. 98ACh. 40 - Prob. 99ACh. 40 - Prob. 100ACh. 40 - Prob. 101ACh. 40 - Prob. 102ACh. 40 - Prob. 103ACh. 40 - Prob. 104ACh. 40 - Prob. 105ACh. 40 - Prob. 106ACh. 40 - Simplify the following expressions. 64d69d2Ch. 40 - Prob. 108ACh. 40 - Prob. 109ACh. 40 - Prob. 110ACh. 40 - Prob. 111ACh. 40 - Prob. 112ACh. 40 - Prob. 113ACh. 40 - Rewrite the following standard form numbers in...Ch. 40 - Prob. 115ACh. 40 - Rewrite the following standard form numbers in...Ch. 40 - Rewrite the following standard form numbers in...Ch. 40 - Prob. 118ACh. 40 - Prob. 119ACh. 40 - Prob. 120ACh. 40 - Prob. 121ACh. 40 - Prob. 122ACh. 40 - Prob. 123ACh. 40 - Prob. 124ACh. 40 - Prob. 125ACh. 40 - Prob. 126ACh. 40 - Prob. 127ACh. 40 - Prob. 128ACh. 40 - Prob. 129ACh. 40 - Prob. 130ACh. 40 - Prob. 131ACh. 40 - Prob. 132ACh. 40 - Prob. 133ACh. 40 - Prob. 134ACh. 40 - Prob. 135ACh. 40 - Prob. 136ACh. 40 - Prob. 137ACh. 40 - Prob. 138ACh. 40 - Prob. 139ACh. 40 - Prob. 140ACh. 40 - Prob. 141ACh. 40 - Prob. 142ACh. 40 - Prob. 143ACh. 40 - Prob. 144ACh. 40 - Prob. 145ACh. 40 - Prob. 146ACh. 40 - Prob. 147ACh. 40 - Prob. 148ACh. 40 - Prob. 149ACh. 40 - The following problems are given in decimal...Ch. 40 - Prob. 151ACh. 40 - Prob. 152ACh. 40 - Prob. 153ACh. 40 - Prob. 154A
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