
Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
3rd Edition
ISBN: 9781259232848
Author: David Sobecki, Allan Bluman
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Question
Chapter 14.1, Problem 45E
To determine
To find: The smallest number of colors needed to color the map so that no regions sharing a common border are the same color.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider the following hypothesis test.
The following results are for two independent samples taken from the two populations.
Sample 1
Sample 2
n 1 = 80
n 2 = 70
x 1 = 104
x 2 = 106
σ 1 = 8.4
σ 2 = 7.6
What is the value of the test statistic? If required enter negative values as negative numbers (to 2 decimals).
What is the p-value (to 4 decimals)? Use z-table.
With = .05, what is your hypothesis testing conclusion?
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services (2000 Merrill Lynch Client Satisfaction Survey). Higher ratings on the client satisfaction survey indicate better service with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use = .05 and test to see whether the consultant with more experience has the higher population mean service rating.
Consultant A
Consultant B
= 16
= 10
= 6.82
= 6.25
= .64
= .75
State the null and alternative hypotheses.H0: 1 - 2 Ha: 1 - 2
Compute the value of the test statistic (to 2 decimals).
What is the p-value?The p-value is
What is your conclusion?
A firm paid its first annual dividend yesterday in the amount of $.15 per share. The company plans to double the dividend in each of the next 3 years. Starting in Year 4, the firm plans to pay $1.50 per share indefinitely. What is one share of this stock worth today if the market rate of return on similar securities is 13.8 percent?
Multiple Choice
$11.79
$8.92
$10.77
$11.02
$10.26
Chapter 14 Solutions
Connect Math hosted by ALEKS Access Card 52 Weeks for Math in Our World
Ch. 14.1 - Draw a graph to represent ferry service between...Ch. 14.1 - The floor plan shown in Figure 14-7 is for a...Ch. 14.1 - Prob. 3TTOCh. 14.1 - Draw a graph for my neighborhood, shown in Figure...Ch. 14.1 - Prob. 5TTOCh. 14.1 - Prob. 6TTOCh. 14.1 - Prob. 7TTOCh. 14.1 - Prob. 8TTOCh. 14.1 - Prob. 1ECh. 14.1 - What is the difference between a loop and a...
Ch. 14.1 - What is the difference between a circuit and a...Ch. 14.1 - Draw two graphs that look physically different but...Ch. 14.1 - Prob. 5ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - How does graph coloring apply to maps?Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 18ECh. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 20ECh. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - For Exercises 3134, represent each figure using a...Ch. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - For Exercises 3538, draw a graph to represent each...Ch. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - For Exercises 3942, draw a graph that represents...Ch. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - In Exercises 4350, use graph coloring to find the...Ch. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - In Exercises 4350, use graph coloring to find the...Ch. 14.1 - Prob. 48ECh. 14.1 - Prob. 49ECh. 14.1 - Prob. 50ECh. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - Prob. 55ECh. 14.1 - Draw a graph that represents the street map in...Ch. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - (a)When a graph represents a map as in Exercise...Ch. 14.2 - Use Eulers theorem to determine if the graphs...Ch. 14.2 - Prob. 2TTOCh. 14.2 - Prob. 3TTOCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - For Exercises 710, decide whether each connected...Ch. 14.2 - Prob. 8ECh. 14.2 - For Exercises 710, decide whether each connected...Ch. 14.2 - Prob. 10ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 12ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 14ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 16ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 18ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - For Exercises 2126, draw a graph for the figures...Ch. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - For Exercises 33 and 34, determine if an Euler...Ch. 14.2 - For Exercises 33 and 34, determine if an Euler...Ch. 14.2 - Prob. 35ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Draw some sample graphs and use them to discuss...Ch. 14.2 - Prob. 40ECh. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Explain why the word connected is crucial...Ch. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.3 - Find a Hamilton path that begins at vertex C for...Ch. 14.3 - Prob. 2TTOCh. 14.3 - Prob. 3TTOCh. 14.3 - The driving times in minutes between four cities...Ch. 14.3 - Prob. 5TTOCh. 14.3 - Prob. 6TTOCh. 14.3 - Prob. 7TTOCh. 14.3 - What is the difference between a Hamilton path and...Ch. 14.3 - Prob. 2ECh. 14.3 - Give an example of a problem in our world that can...Ch. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Describe what a typical traveling salesperson...Ch. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - For Exercises 1924, find two different Hamilton...Ch. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - For Exercises 2528, find the number of Hamilton...Ch. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - For Exercises 29 and 30, use the brute force...Ch. 14.3 - For Exercises 3134, use the nearest neighbor...Ch. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 14.3 - In Exercises 3538, use the cheapest link algorithm...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - For Exercises 3942, use the information in the...Ch. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - For Exercises 4346, use the information in the...Ch. 14.3 - For Exercises 4346, use the information in the...Ch. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - A pizza delivery person has five prearranged...Ch. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - When planning routes, distance isnt always the key...Ch. 14.3 - Prob. 54ECh. 14.3 - Repeat questions 51 through 54, choosing four...Ch. 14.3 - Prob. 56ECh. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - Find a road atlas that has a mileage chart. Pick...Ch. 14.3 - Prob. 60ECh. 14.3 - Prob. 61ECh. 14.3 - Prob. 62ECh. 14.3 - Prob. 63ECh. 14.3 - Prob. 64ECh. 14.3 - Prob. 65ECh. 14.3 - Prob. 66ECh. 14.4 - Prob. 1TTOCh. 14.4 - Prob. 2TTOCh. 14.4 - Prob. 3TTOCh. 14.4 - Prob. 4TTOCh. 14.4 - Prob. 5TTOCh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - For Exercise 716, decide whether or not each graph...Ch. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - As a new suburban neighborhood is being built, the...Ch. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - In the last two sections, we used both Hamilton...Ch. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14 - Use the graph shown in Figure 14-62 for Exercise...Ch. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Use the graph shown in Figure 14-62 for Exercises...Ch. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - Repeat Exercise 13 for the graphs from Exercises...Ch. 14 - Prob. 15RECh. 14 - Prob. 16RECh. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - Prob. 19RECh. 14 - Prob. 20RECh. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - Prob. 24RECh. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - For the following graph: (a)What is the degree of...Ch. 14 - Draw a graph with two bridges, and the...Ch. 14 - Prob. 3CTCh. 14 - Prob. 4CTCh. 14 - (a)For the graph shown in Figure 14-73, find an...Ch. 14 - Prob. 6CTCh. 14 - For the housing plan shown in Figure 14-75, draw a...Ch. 14 - Prob. 8CTCh. 14 - Use the brute force method to find the shortest...Ch. 14 - Use the nearest neighbor method and cheapest link...Ch. 14 - Prob. 11CTCh. 14 - Decide whether the problem can be solved using...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- У1 = e is a solution to the differential equation xy" — (x+1)y' + y = 0. Use reduction of order to find the solution y(x) corresponding to the initial data y(1) = 1, y′ (1) = 0. Then sin(y(2.89)) is -0.381 0.270 -0.401 0.456 0.952 0.981 -0.152 0.942arrow_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_forward10 6 9. 8 -7- 6. 5. 4- 3. 2 1- -1 0 -1 2 3 4 ·10 5 6 7 00 8 6 10arrow_forward
- solve pleasearrow_forwardWeek 3: Mortgages and Amortiza X + rses/167748/assignments/5379530?module_item_id=23896312 11:59pm Points 10 Submitting an external tool Gider the following monthly amortization schedule: Payment # Payment Interest Debt Payment Balance 1 1,167.34 540.54 626.80 259,873.20 2 1,167.34 539.24 628.10 259,245.10 3 1,167.34 With the exception of column one, all amounts are in dollars. Calculate the annual interest rate on this loa Round your answer to the nearest hundredth of a percent. Do NOT round until you calculate the final answer. * Previous a Earrow_forwardCafé Michigan's manager, Gary Stark, suspects that demand for mocha latte coffees depends on the price being charged. Based on historical observations, Gary has gathered the following data, which show the numbers of these coffees sold over six different price values: Price Number Sold $2.70 765 $3.50 515 $2.00 990 $4.30 240 $3.10 325 $4.00 475 Using simple linear regression and given that the price per cup is $1.85, the forecasted demand for mocha latte coffees will be cups (enter your response rounded to one decimal place).arrow_forward
- The parametric equations of the function are given asx=asin²0, y = acos). Calculate [Let: a=anumerical coefficient] dy d²y and dx dx2arrow_forwardA tank contains 200 gal of fresh water. A solution containing 4 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 5 gal/min. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum. Find the time required to reach the maximum amount of fertilizer in the tank. t= min (Type an integer or decimal rounded to the nearest tenth as needed.)arrow_forwardSuppose the random variable X is normally distributed with mean 80 and standard deviation 16. Find following probabilities. Find ‘b’ such that P(X ≥ b) = 0.975. Find the probability using a normal distribution table AND using ti-83 calculator. SHOW ALL STEPS PLEASE.arrow_forward
- Thumbi Irrigation Scheme in Mzimba district is under threat of flooding. In order to mitigate against the problem, authorities have decided to construct a flood protection bund (Dyke). Figure 1 is a cross section of a 300m long proposed dyke; together with its foundation (key). Survey data for the proposed site of the dyke are presented in Table 1. Table 2 provides swelling and shrinkage factors for the fill material that has been proposed. The dyke dimensions that are given are for a compacted fill. (1) Assume you are in the design office, use both the Simpson Rule and Trapezoidal Rule to compute the total volume of earthworks required. (Assume both the dyke and the key will use the same material). (2) If you are a Contractor, how many days will it take to finish hauling the computed earthworks using 3 tippers of 12m³ each? Make appropriate assumptions. DIKE CROSS SECTION OGL KEY (FOUNDATION) 2m 1m 2m 8m Figure 1: Cross section of Dyke and its foundation 1.5m from highest OGL 0.5m…arrow_forwardSuppose the random variable X is normally distributed with mean 80 and standard deviation 16. Find following probabilities. Equation: P(85 ≤ X ≤ 102). Find the probability using a normal distribution table AND using ti-83 calculator. SHOW ALL STEPS PLEASE.arrow_forwardData set is Bachelor Degree's Conferred by Race and Ethnicity.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Graph Theory: Euler Paths and Euler Circuits; Author: Mathispower4u;https://www.youtube.com/watch?v=5M-m62qTR-s;License: Standard YouTube License, CC-BY
WALK,TRIAL,CIRCUIT,PATH,CYCLE IN GRAPH THEORY; Author: DIVVELA SRINIVASA RAO;https://www.youtube.com/watch?v=iYVltZtnAik;License: Standard YouTube License, CC-BY