Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780321983503
Author: Elayn Martin-Gay
Publisher: PEARSON
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Question
Chapter 3.CR, Problem 71CR
To determine
To find:
The Democratic candidate the incumbent received 14, 000 votes of the 18, 500 votes case of the remaining votes, the Democratic candidates received 272 more than the Independent candidate.
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B1 The x distribution is a special case of Gamma distribution (not to be confused with gamma
function; see below). The density function of the Gamma distribution with parameters
and k is given by
where
-1
e
-x/0
(x) =
=
г(k) Øk
if x > 0, and
otherwise,
г(k) = √ ₁
k-1-x dx
x' e
is the gamma function.
(a) For every k ≥ 1, 0 > 0, find the mode of the density. Hint: The algebra can be
simplified by appropriate use of logarithms.
~
Now suppose that X1,..., Xn id Exp(\) and that we have a prior belief in A which is
consistent with a prior distribution X. Gamma(a, b), for some a, ß, i.e. the prior density
of is
Baxa-1-BA
T(a)
e
=
so 01/ẞ and k = a.
(b) Write down the likelihood, and show that the posterior distribution for \ is also a
Gamma distribution, but with parameters a +n and B + Σ Xi.
(c) Find the mode of the posterior distribution and examine the behaviour as n → ∞.
Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3
and Ay = 0.05.
dz =
Now find Az and compare it to your answer above
Ax=
Hint: If entering a decimal, round to at least 5 places
Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and
Ay = -0.15.
dz
Now find Az and compare it to your answer above
Az =
Hint: If entering a decimal, round to at least 5 places
Chapter 3 Solutions
Prealgebra & Introductory Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (4th Edition)
Ch. 3.1 - Prob. 1CCCh. 3.1 - Prob. 2CCCh. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8P
Ch. 3.1 - Prob. 9PCh. 3.1 - Prob. 10PCh. 3.1 - Prob. 11PCh. 3.1 - Prob. 12PCh. 3.1 - Prob. 13PCh. 3.1 - Prob. 14PCh. 3.1 - Prob. 15PCh. 3.1 - Prob. 1VRVCCh. 3.1 - Prob. 2VRVCCh. 3.1 - Prob. 3VRVCCh. 3.1 - Prob. 4VRVCCh. 3.1 - Prob. 5VRVCCh. 3.1 - Prob. 6VRVCCh. 3.1 - Prob. 7VRVCCh. 3.1 - Prob. 8VRVCCh. 3.1 - Prob. 9VRVCCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - Prob. 52ECh. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - Prob. 70ECh. 3.1 - Prob. 71ECh. 3.1 - Prob. 72ECh. 3.1 - Prob. 73ECh. 3.1 - Prob. 74ECh. 3.1 - Prob. 75ECh. 3.1 - Prob. 76ECh. 3.1 - Prob. 77ECh. 3.1 - Prob. 78ECh. 3.1 - Prob. 79ECh. 3.1 - Prob. 80ECh. 3.1 - Prob. 81ECh. 3.1 - Prob. 82ECh. 3.1 - Prob. 83ECh. 3.1 - Prob. 84ECh. 3.1 - Prob. 85ECh. 3.1 - Prob. 86ECh. 3.1 - Prob. 87ECh. 3.1 - Prob. 88ECh. 3.1 - Prob. 89ECh. 3.1 - Prob. 90ECh. 3.1 - Prob. 91ECh. 3.1 - Prob. 92ECh. 3.1 - Prob. 93ECh. 3.1 - Prob. 94ECh. 3.1 - Prob. 95ECh. 3.1 - Prob. 96ECh. 3.1 - Prob. 97ECh. 3.1 - Prob. 98ECh. 3.1 - Prob. 99ECh. 3.1 - Prob. 100ECh. 3.1 - Prob. 101ECh. 3.1 - Prob. 102ECh. 3.1 - Prob. 103ECh. 3.1 - Prob. 104ECh. 3.1 - Prob. 105ECh. 3.1 - Prob. 106ECh. 3.1 - Prob. 107ECh. 3.1 - Prob. 108ECh. 3.1 - Prob. 109ECh. 3.1 - Prob. 110ECh. 3.1 - Prob. 111ECh. 3.1 - Prob. 112ECh. 3.1 - Prob. 113ECh. 3.1 - Prob. 114ECh. 3.2 - Prob. 1CCCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5PCh. 3.2 - Prob. 6PCh. 3.2 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - Prob. 9PCh. 3.2 - Prob. 10PCh. 3.2 - Prob. 1VRVCCh. 3.2 - Prob. 2VRVCCh. 3.2 - Prob. 3VRVCCh. 3.2 - Prob. 4VRVCCh. 3.2 - Prob. 5VRVCCh. 3.2 - Prob. 6VRVCCh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.2 - 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Prob. 7IRCh. 3.IR - Prob. 8IRCh. 3.IR - Prob. 9IRCh. 3.IR - Prob. 10IRCh. 3.IR - Prob. 11IRCh. 3.IR - Prob. 12IRCh. 3.IR - Prob. 13IRCh. 3.IR - Prob. 14IRCh. 3.IR - Prob. 15IRCh. 3.IR - Prob. 16IRCh. 3.IR - Prob. 17IRCh. 3.IR - Prob. 18IRCh. 3.IR - Prob. 19IRCh. 3.IR - Prob. 20IRCh. 3.IR - Prob. 21IRCh. 3.IR - Prob. 22IRCh. 3.IR - Prob. 23IRCh. 3.IR - Prob. 24IRCh. 3.IR - Prob. 25IRCh. 3.IR - Prob. 26IRCh. 3.IR - Prob. 27IRCh. 3.IR - Prob. 28IRCh. 3.IR - Prob. 29IRCh. 3.IR - Prob. 30IRCh. 3.IR - Prob. 31IRCh. 3.IR - Prob. 32IRCh. 3.IR - Prob. 33IRCh. 3.IR - Prob. 34IRCh. 3.IR - Prob. 35IRCh. 3.IR - Prob. 36IRCh. 3.IR - Prob. 37IRCh. 3.IR - Prob. 38IRCh. 3.IR - Prob. 39IRCh. 3.IR - Prob. 40IRCh. 3.3 - Prob. 1CCCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 1VRVCCh. 3.3 - Prob. 2VRVCCh. 3.3 - Prob. 3VRVCCh. 3.3 - Prob. 4VRVCCh. 3.3 - Prob. 5VRVCCh. 3.3 - Prob. 6VRVCCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Prob. 64ECh. 3.3 - Prob. 65ECh. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Prob. 70ECh. 3.3 - Prob. 71ECh. 3.3 - Prob. 72ECh. 3.3 - Prob. 73ECh. 3.3 - Prob. 74ECh. 3.3 - Prob. 75ECh. 3.3 - Prob. 76ECh. 3.3 - Prob. 77ECh. 3.3 - Prob. 78ECh. 3.3 - Prob. 79ECh. 3.3 - Prob. 80ECh. 3.3 - Prob. 81ECh. 3.3 - Prob. 82ECh. 3.3 - Prob. 83ECh. 3.3 - Prob. 84ECh. 3.3 - Prob. 85ECh. 3.3 - Prob. 86ECh. 3.3 - Prob. 87ECh. 3.3 - Prob. 88ECh. 3.3 - Prob. 89ECh. 3.3 - Prob. 90ECh. 3.3 - Prob. 91ECh. 3.3 - Prob. 92ECh. 3.3 - Prob. 1CECh. 3.3 - Prob. 2CECh. 3.3 - Prob. 3CECh. 3.3 - Prob. 4CECh. 3.3 - Prob. 5CECh. 3.3 - Prob. 6CECh. 3.4 - Prob. 1CCCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.GA - Prob. 1GACh. 3.GA - Prob. 2GACh. 3.GA - Prob. 3GACh. 3.GA - Prob. 4GACh. 3.GA - Prob. 5GACh. 3.GA - Prob. 6GACh. 3.GA - Prob. 7GACh. 3.GA - Prob. 8GACh. 3.GA - Prob. 9GACh. 3.GA - Prob. 10GACh. 3.VC - Prob. 1VCCh. 3.VC - Prob. 2VCCh. 3.VC - Prob. 3VCCh. 3.VC - Prob. 4VCCh. 3.VC - Prob. 5VCCh. 3.VC - Prob. 6VCCh. 3.VC - Prob. 7VCCh. 3.VC - Prob. 8VCCh. 3.VC - Prob. 9VCCh. 3.VC - Prob. 10VCCh. 3.VC - Prob. 11VCCh. 3.VC - Prob. 12VCCh. 3.VC - Prob. 13VCCh. 3.CR - Prob. 1CRCh. 3.CR - Prob. 2CRCh. 3.CR - Prob. 3CRCh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Prob. 6CRCh. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Prob. 9CRCh. 3.CR - Prob. 10CRCh. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Prob. 13CRCh. 3.CR - Prob. 14CRCh. 3.CR - Prob. 15CRCh. 3.CR - Prob. 16CRCh. 3.CR - Prob. 17CRCh. 3.CR - Prob. 18CRCh. 3.CR - Prob. 19CRCh. 3.CR - Prob. 20CRCh. 3.CR - Prob. 21CRCh. 3.CR - Prob. 22CRCh. 3.CR - Prob. 23CRCh. 3.CR - Prob. 24CRCh. 3.CR - Prob. 25CRCh. 3.CR - Prob. 26CRCh. 3.CR - Prob. 27CRCh. 3.CR - 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Prob. 76CRCh. 3.CR - Prob. 77CRCh. 3.CR - Prob. 78CRCh. 3.CR - Prob. 79CRCh. 3.CR - Prob. 80CRCh. 3.CR - Prob. 81CRCh. 3.CR - Prob. 82CRCh. 3.CR - Prob. 83CRCh. 3.CR - Prob. 84CRCh. 3.CR - Prob. 85CRCh. 3.CR - Prob. 86CRCh. 3.CR - Prob. 87CRCh. 3.CR - Prob. 88CRCh. 3.CR - Prob. 89CRCh. 3.CR - Prob. 90CRCh. 3.CR - Prob. 91CRCh. 3.CR - Prob. 92CRCh. 3.CR - Prob. 93CRCh. 3.CR - Prob. 94CRCh. 3.CT - Prob. 1CTCh. 3.CT - Prob. 2CTCh. 3.CT - Prob. 3CTCh. 3.CT - Prob. 4CTCh. 3.CT - Prob. 5CTCh. 3.CT - Prob. 6CTCh. 3.CT - Prob. 7CTCh. 3.CT - Prob. 8CTCh. 3.CT - Prob. 9CTCh. 3.CT - Prob. 10CTCh. 3.CT - Prob. 11CTCh. 3.CT - Prob. 12CTCh. 3.CT - Prob. 13CTCh. 3.CT - Prob. 14CTCh. 3.CT - Prob. 15CTCh. 3.CT - Prob. 16CTCh. 3.CT - Prob. 17CTCh. 3.CT - Prob. 18CTCh. 3.CT - Prob. 19CTCh. 3.CT - Prob. 20CTCh. 3.CT - Prob. 21CTCh. 3.CM - Prob. 1CMCh. 3.CM - Prob. 2CMCh. 3.CM - Prob. 3CMCh. 3.CM - Prob. 4CMCh. 3.CM - Prob. 5CMCh. 3.CM - Prob. 6CMCh. 3.CM - Prob. 7CMCh. 3.CM - Prob. 8CMCh. 3.CM - Prob. 9CMCh. 3.CM - Prob. 10CMCh. 3.CM - Prob. 11CMCh. 3.CM - Prob. 12CMCh. 3.CM - Prob. 13CMCh. 3.CM - Prob. 14CMCh. 3.CM - Prob. 15CMCh. 3.CM - Prob. 16CMCh. 3.CM - Prob. 17CMCh. 3.CM - Prob. 18CMCh. 3.CM - Prob. 19CMCh. 3.CM - Prob. 20CMCh. 3.CM - Prob. 21CMCh. 3.CM - Prob. 22CMCh. 3.CM - Prob. 23CMCh. 3.CM - Prob. 24CMCh. 3.CM - Prob. 25CMCh. 3.CM - Prob. 26CMCh. 3.CM - Prob. 27CMCh. 3.CM - Prob. 28CMCh. 3.CM - Prob. 29CMCh. 3.CM - Prob. 30CMCh. 3.CM - Prob. 31CMCh. 3.CM - Prob. 32CMCh. 3.CM - Prob. 33CMCh. 3.CM - Prob. 34CMCh. 3.CM - Prob. 35CMCh. 3.CM - Prob. 36CMCh. 3.CM - Prob. 37CMCh. 3.CM - Prob. 38CMCh. 3.CM - Prob. 39CMCh. 3.CM - Prob. 40CMCh. 3.CM - Prob. 41CMCh. 3.CM - Prob. 42CMCh. 3.CM - Prob. 43CMCh. 3.CM - Prob. 44CMCh. 3.CM - Prob. 45CMCh. 3.CM - Prob. 46CMCh. 3.CM - Prob. 47CMCh. 3.CM - Prob. 48CMCh. 3.CM - Prob. 49CMCh. 3.CM - Prob. 50CM
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