Discrete Mathematics: Introduction to Mathematical Reasoning
1st Edition
ISBN: 9780495826170
Author: Susanna S. Epp
Publisher: Cengage Learning
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Chapter 4.3, Problem 33ES
To determine
To explain: Whether the combination of nickels, dimes and quarters that add up to
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>tt 1:32
> trend.1m 1m (sales
> summary(trend.1m)
-
tt) #3###23 (i) ####
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2107.220
57.997 36.332e-16 ***
tt
-43.500
3.067 -14.18 7.72e-15 ***
> trend = ts (fitted (trend.1m), start-start (sales), freq-frequency (sales))
sales trend ###23%23 (ii) ####
as.numeric((1:32 %% 4)
> X
> q1
> q2
> q3
> 94
=
=
=
=
-
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
== 1)
2)
==
== 3)
==
0)
> season.lm = 1m (resid (trend.1m) 0+q1 + q2 + q3 + q4) #3##23%23 (iii) ####
> summary(season.1m)
Coefficients:
Estimate Std. Error t value Pr(>|t|)
q1
-38.41
43.27 -0.888 0.38232
92
18.80
43.27
0.435 0.66719
q3
-134.78
43.27
-3.115 0.00422 **
94
154.38
43.27 3.568
0.00132 **
> season = ts (fitted (season.lm), start=start (sales), freq=frequency (sales))
> Y X season %23%23%23%23 (iv) ####
>ar (Y, aic=FALSE, order.max=1) #23%23%23%23 (v) ####
Coefficients:
1
0.5704
Order selected 1 sigma 2 estimated as 9431
> ar(Y, aic=FALSE,…
Please sketch questions 1, 2 and 6
QUESTION 18 - 1 POINT
Jessie is playing a dice game and bets $9 on her first roll. If a 10, 7, or 4 is rolled, she wins $9. This happens with a probability of . If an 8 or 2 is rolled, she loses her $9. This has a probability of J. If any other number is rolled, she does not win or lose, and the game continues. Find the expected value for Jessie on her first roll.
Round to the nearest cent if necessary. Do not round until the final calculation.
Provide your answer below:
Chapter 4 Solutions
Discrete Mathematics: Introduction to Mathematical Reasoning
Ch. 4.1 - Prob. 1ESCh. 4.1 - Prob. 2ESCh. 4.1 - Prob. 3ESCh. 4.1 - Prob. 4ESCh. 4.1 - Prob. 5ESCh. 4.1 - Prob. 6ESCh. 4.1 - Prob. 7ESCh. 4.1 - Prob. 8ESCh. 4.1 - Prob. 9ESCh. 4.1 - Prob. 10ES
Ch. 4.1 - Prob. 11ESCh. 4.1 - Prob. 12ESCh. 4.1 - Prob. 13ESCh. 4.1 - Prob. 14ESCh. 4.1 - Prob. 15ESCh. 4.1 - Prob. 16ESCh. 4.1 - Prob. 17ESCh. 4.1 - Prob. 18ESCh. 4.1 - Prob. 19ESCh. 4.1 - Prob. 20ESCh. 4.1 - Prob. 21ESCh. 4.1 - Prob. 22ESCh. 4.1 - Prob. 23ESCh. 4.1 - Prob. 24ESCh. 4.1 - Prob. 25ESCh. 4.1 - Prob. 26ESCh. 4.1 - Prob. 27ESCh. 4.1 - Prob. 28ESCh. 4.1 - Prob. 29ESCh. 4.1 - Prob. 30ESCh. 4.1 - Prob. 31ESCh. 4.1 - Prob. 32ESCh. 4.1 - Prob. 33ESCh. 4.1 - Prob. 34ESCh. 4.1 - Prob. 35ESCh. 4.1 - Prob. 36ESCh. 4.1 - Prob. 37ESCh. 4.1 - Prob. 38ESCh. 4.1 - Prob. 39ESCh. 4.1 - Prob. 40ESCh. 4.1 - Prob. 41ESCh. 4.1 - Prob. 42ESCh. 4.1 - Prob. 43ESCh. 4.1 - Prob. 44ESCh. 4.1 - Prob. 45ESCh. 4.1 - Prob. 46ESCh. 4.1 - Prob. 47ESCh. 4.1 - Prob. 48ESCh. 4.1 - Prob. 49ESCh. 4.1 - Prob. 50ESCh. 4.1 - Prob. 51ESCh. 4.1 - Prob. 52ESCh. 4.1 - Prob. 53ESCh. 4.1 - Prob. 54ESCh. 4.1 - Prob. 55ESCh. 4.1 - Prob. 56ESCh. 4.1 - Prob. 57ESCh. 4.1 - Prob. 58ESCh. 4.1 - Prob. 59ESCh. 4.1 - Prob. 60ESCh. 4.1 - Prob. 61ESCh. 4.1 - Prob. 62ESCh. 4.1 - Prob. 63ESCh. 4.2 - Prob. 1ESCh. 4.2 - Prob. 2ESCh. 4.2 - Prob. 3ESCh. 4.2 - Prob. 4ESCh. 4.2 - Prob. 5ESCh. 4.2 - Prob. 6ESCh. 4.2 - Prob. 7ESCh. 4.2 - Prob. 8ESCh. 4.2 - Prob. 9ESCh. 4.2 - Prob. 10ESCh. 4.2 - Prob. 11ESCh. 4.2 - Prob. 12ESCh. 4.2 - Prob. 13ESCh. 4.2 - Prob. 14ESCh. 4.2 - Prob. 15ESCh. 4.2 - Prob. 16ESCh. 4.2 - Prob. 17ESCh. 4.2 - Prob. 18ESCh. 4.2 - Prob. 19ESCh. 4.2 - Prob. 20ESCh. 4.2 - Prob. 21ESCh. 4.2 - Prob. 22ESCh. 4.2 - Prob. 23ESCh. 4.2 - Prob. 24ESCh. 4.2 - Prob. 25ESCh. 4.2 - Prob. 26ESCh. 4.2 - Prob. 27ESCh. 4.2 - Prob. 28ESCh. 4.2 - Prob. 29ESCh. 4.2 - Prob. 30ESCh. 4.2 - Prob. 31ESCh. 4.2 - Prob. 32ESCh. 4.2 - Prob. 33ESCh. 4.2 - Prob. 34ESCh. 4.2 - Prob. 35ESCh. 4.2 - Prob. 36ESCh. 4.2 - Prob. 37ESCh. 4.2 - Prob. 38ESCh. 4.2 - Prob. 39ESCh. 4.3 - Prob. 1ESCh. 4.3 - Prob. 2ESCh. 4.3 - Prob. 3ESCh. 4.3 - Prob. 4ESCh. 4.3 - Prob. 5ESCh. 4.3 - Prob. 6ESCh. 4.3 - Prob. 7ESCh. 4.3 - Prob. 8ESCh. 4.3 - Prob. 9ESCh. 4.3 - Prob. 10ESCh. 4.3 - Prob. 11ESCh. 4.3 - Prob. 12ESCh. 4.3 - Prob. 13ESCh. 4.3 - Prob. 14ESCh. 4.3 - Prob. 15ESCh. 4.3 - Prob. 16ESCh. 4.3 - Prob. 17ESCh. 4.3 - Prob. 18ESCh. 4.3 - Prob. 19ESCh. 4.3 - Prob. 20ESCh. 4.3 - Prob. 21ESCh. 4.3 - Prob. 22ESCh. 4.3 - Prob. 23ESCh. 4.3 - Prob. 24ESCh. 4.3 - Prob. 25ESCh. 4.3 - Prob. 26ESCh. 4.3 - Prob. 27ESCh. 4.3 - Prob. 28ESCh. 4.3 - Prob. 29ESCh. 4.3 - Prob. 30ESCh. 4.3 - Prob. 31ESCh. 4.3 - Prob. 32ESCh. 4.3 - Prob. 33ESCh. 4.3 - Prob. 34ESCh. 4.3 - Prob. 35ESCh. 4.3 - Prob. 36ESCh. 4.3 - Prob. 37ESCh. 4.3 - Prob. 38ESCh. 4.3 - Prob. 39ESCh. 4.3 - Prob. 40ESCh. 4.3 - Prob. 41ESCh. 4.3 - Prob. 42ESCh. 4.3 - Prob. 43ESCh. 4.3 - Prob. 44ESCh. 4.3 - Prob. 45ESCh. 4.3 - Prob. 46ESCh. 4.3 - Prob. 47ESCh. 4.3 - Prob. 48ESCh. 4.3 - Prob. 49ESCh. 4.4 - Prob. 1ESCh. 4.4 - Prob. 2ESCh. 4.4 - Prob. 3ESCh. 4.4 - Prob. 4ESCh. 4.4 - Prob. 5ESCh. 4.4 - Prob. 6ESCh. 4.4 - Prob. 7ESCh. 4.4 - Prob. 8ESCh. 4.4 - Prob. 9ESCh. 4.4 - Prob. 10ESCh. 4.4 - Prob. 11ESCh. 4.4 - Prob. 12ESCh. 4.4 - Prob. 13ESCh. 4.4 - Prob. 14ESCh. 4.4 - Prob. 15ESCh. 4.4 - Prob. 16ESCh. 4.4 - Prob. 17ESCh. 4.4 - Prob. 18ESCh. 4.4 - Prob. 19ESCh. 4.4 - Prob. 20ESCh. 4.4 - Prob. 21ESCh. 4.4 - Prob. 22ESCh. 4.4 - Prob. 23ESCh. 4.4 - Prob. 24ESCh. 4.4 - Prob. 25ESCh. 4.4 - Prob. 26ESCh. 4.4 - Prob. 27ESCh. 4.4 - Prob. 28ESCh. 4.4 - Prob. 29ESCh. 4.4 - Prob. 30ESCh. 4.4 - Prob. 31ESCh. 4.4 - Prob. 32ESCh. 4.4 - Prob. 33ESCh. 4.4 - Prob. 34ESCh. 4.4 - Prob. 35ESCh. 4.4 - Prob. 36ESCh. 4.4 - Prob. 37ESCh. 4.4 - Prob. 38ESCh. 4.4 - Prob. 39ESCh. 4.4 - Prob. 40ESCh. 4.4 - Prob. 41ESCh. 4.4 - Prob. 42ESCh. 4.4 - Prob. 43ESCh. 4.4 - Prob. 44ESCh. 4.4 - Prob. 45ESCh. 4.4 - Prob. 46ESCh. 4.5 - Prob. 1ESCh. 4.5 - Prob. 2ESCh. 4.5 - Prob. 3ESCh. 4.5 - Prob. 4ESCh. 4.5 - Prob. 5ESCh. 4.5 - Prob. 6ESCh. 4.5 - Prob. 7ESCh. 4.5 - Prob. 8ESCh. 4.5 - Prob. 9ESCh. 4.5 - Prob. 10ESCh. 4.5 - Prob. 11ESCh. 4.5 - Prob. 12ESCh. 4.5 - Prob. 13ESCh. 4.5 - Prob. 14ESCh. 4.5 - Prob. 15ESCh. 4.5 - Prob. 16ESCh. 4.5 - Prob. 17ESCh. 4.5 - Prob. 18ESCh. 4.5 - Prob. 19ESCh. 4.5 - Prob. 20ESCh. 4.5 - Prob. 21ESCh. 4.5 - Prob. 22ESCh. 4.5 - Prob. 23ESCh. 4.5 - Prob. 24ESCh. 4.5 - Prob. 25ESCh. 4.5 - Prob. 26ESCh. 4.5 - Prob. 27ESCh. 4.5 - Prob. 28ESCh. 4.5 - Prob. 29ESCh. 4.5 - Prob. 30ESCh. 4.5 - Prob. 31ESCh. 4.5 - Prob. 32ESCh. 4.5 - Prob. 33ESCh. 4.5 - Prob. 34ESCh. 4.5 - Prob. 35ESCh. 4.6 - Prob. 1ESCh. 4.6 - Prob. 2ESCh. 4.6 - Prob. 3ESCh. 4.6 - Prob. 4ESCh. 4.6 - Prob. 5ESCh. 4.6 - Prob. 6ESCh. 4.6 - Prob. 7ESCh. 4.6 - Prob. 8ESCh. 4.6 - Prob. 9ESCh. 4.6 - Prob. 10ESCh. 4.6 - Prob. 11ESCh. 4.6 - Prob. 12ESCh. 4.6 - Prob. 13ESCh. 4.6 - Prob. 14ESCh. 4.6 - Prob. 15ESCh. 4.6 - Prob. 16ESCh. 4.6 - Prob. 17ESCh. 4.6 - Prob. 18ESCh. 4.6 - Prob. 19ESCh. 4.6 - Prob. 20ESCh. 4.6 - Prob. 21ESCh. 4.6 - Prob. 22ESCh. 4.6 - Prob. 23ESCh. 4.6 - Prob. 24ESCh. 4.6 - Prob. 25ESCh. 4.6 - Prob. 26ESCh. 4.6 - Prob. 27ESCh. 4.6 - Prob. 28ESCh. 4.6 - Prob. 29ESCh. 4.6 - Prob. 30ESCh. 4.6 - Prob. 31ESCh. 4.6 - Prob. 32ESCh. 4.6 - Prob. 33ESCh. 4.6 - Prob. 34ESCh. 4.6 - Prob. 35ES
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- 1. Please solve this for me and show every single step. I am studying and got stuck on this practice question, and need help in solving it. Please be very specific and show every step. Thanks.arrow_forwardAssume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the abovearrow_forwardQ1/Details of square footing are as follows: DL = 800 KN, LL = 500 kN, Fy=414 MPa, Fc = 20 MPa Footing, qa = 120 kPa, Column (400x400) mm. Determine the dimensions of footing and thickness? Q2/ For the footing system shown in Figure below, find the suitable size (BxL) for: 1. Non uniform pressure, 2. Uniform pressure, 3.Uniform pressure with moment in clockwise direction. (Use qmax=qall =200kPa). Property, line M=200KN.m 1m P-1000KNarrow_forward
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