MATH IN OUR WORLD (VALUE EDITION)
4th Edition
ISBN: 9781266216855
Author: sobecki
Publisher: MCG
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Chapter 1.2, Problem 78E
To determine
The trend on the graph which is likely to continue for next 5-10 years.
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
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2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
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The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
Find the indefinite integral.
Check
Answer:
7x
4 + 1x
dx
Chapter 1 Solutions
MATH IN OUR WORLD (VALUE EDITION)
Ch. 1.1 - Use inductive reasoning to find a pattern and make...Ch. 1.1 - Make a reasonable conjecture for the next figure...Ch. 1.1 - If two odd numbers are multiplied, is the result...Ch. 1.1 - Use inductive reasoning to decide if the following...Ch. 1.1 - Find a counterexample to disprove the conjecture...Ch. 1.1 - Given that there are 31 sections with 6 points,...Ch. 1.1 - Consider the following problem: think of any...Ch. 1.1 - Arrive at a conclusion by using inductive...Ch. 1.1 - There is no mail delivery on holidays. Tomorrow is...Ch. 1.1 - Everyone I know in my sorority got at least a 2.5...
Ch. 1.1 - Explain the difference between inductive and...Ch. 1.1 - What is meant by the term conjecture?Ch. 1.1 - Give an example of a decision you made based on...Ch. 1.1 - What is a counterexample? What are counterexamples...Ch. 1.1 - Explain why you can never be sure that a...Ch. 1.1 - Explain the difference between an arbitrary number...Ch. 1.1 - Prob. 7ECh. 1.1 - Prob. 8ECh. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - Prob. 17ECh. 1.1 - For Exercises 716, use inductive reasoning to find...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 1720, find a counterexample to show...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2124, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - Prob. 34ECh. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - For Exercises 2534, use inductive reasoning to...Ch. 1.1 - Use inductive reasoning to make a conjecture about...Ch. 1.1 - Use inductive reasoning to determine the unknown...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 3740, use inductive reasoning to find...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - Prob. 48ECh. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - In Exercises 4158, determine whether the type of...Ch. 1.1 - Do a Google search for the string studies texting...Ch. 1.1 - Just about everyone had a conversation like this...Ch. 1.1 - (a) Find a likely candidate for the next two...Ch. 1.1 - (a) Find a likely candidate for the next two...Ch. 1.1 - (a) In several of the problems in this section,...Ch. 1.1 - Refer to problem 63. (a) Write a string of three...Ch. 1.1 - Problems 65 and 66 use the formula average speed =...Ch. 1.1 - Problems 65 and 66 use the formula average speed =...Ch. 1.1 - The Cubs lost the first six games of the season....Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Prob. 70ECh. 1.1 - There were 104,000 people at the Ohio...Ch. 1.1 - All three high school math teachers I had were...Ch. 1.1 - The numbers 1, 3, 6, 10, 15, are called...Ch. 1.1 - Refer to Exercise 75. The formula for finding...Ch. 1.2 -
Try This One 1
Round each value as requested.
The...Ch. 1.2 - At one ballpark, large frosty beverages cost 7.25...Ch. 1.2 - Prob. 3TTOCh. 1.2 - Next up for the Osbueos: a bedroom remodel. They...Ch. 1.2 - Prob. 5TTOCh. 1.2 - Using the pie chart shown in Example 6, find the...Ch. 1.2 - Prob. 7TTOCh. 1.2 - Think of three situations in our world where you...Ch. 1.2 - Explain why an exact answer to a math problem isnt...Ch. 1.2 - How can estimation be used as a quick check to see...Ch. 1.2 - Describe the rules for rounding numbers to a given...Ch. 1.2 - Explain why there is never a single, correct...Ch. 1.2 - Explain how to estimate the size of a quantity...Ch. 1.2 - How is information described in a pie chart? What...Ch. 1.2 - How can you tell when a quantity is getting larger...Ch. 1.2 - Prob. 9ECh. 1.2 - Prob. 10ECh. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 928, round the number to the place...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - For Exercises 2932, estimate the result of the...Ch. 1.2 - Prob. 35ECh. 1.2 - Estimate the cost of five months of HD cable at...Ch. 1.2 - Estimate the time it would take you to drive 237...Ch. 1.2 - Estimate the distance you can travel in 3 hours 25...Ch. 1.2 - Estimate the sale price of a futon you saw on eBay...Ch. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Estimate the total cost of the following items for...Ch. 1.2 - A group of five architecture students enters a...Ch. 1.2 - A biology lab houses 47 rats for experiments, and...Ch. 1.2 - If Erin earns 48,300.00 per year, estimate how...Ch. 1.2 - If Jamaal earns 8.75 per hour, estimate how much...Ch. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Prob. 49ECh. 1.2 - Estimate your cost to live in an apartment for 1...Ch. 1.2 - Prob. 51ECh. 1.2 - Prob. 52ECh. 1.2 -
Use the information shown in the bar graph for...Ch. 1.2 - Prob. 54ECh. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Use the information shown in the graph for...Ch. 1.2 - Prob. 59ECh. 1.2 - Prob. 60ECh. 1.2 - Prob. 61ECh. 1.2 - Prob. 62ECh. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Use the line graph shown for Exercises 6166. The...Ch. 1.2 - Prob. 69ECh. 1.2 - Prob. 70ECh. 1.2 - Prob. 71ECh. 1.2 - Prob. 72ECh. 1.2 - Prob. 73ECh. 1.2 - Prob. 74ECh. 1.2 - Prob. 75ECh. 1.2 - Prob. 76ECh. 1.2 - Prob. 77ECh. 1.2 - Prob. 78ECh. 1.2 - In Jareds math class, he scored 84, 92, 79, and 86...Ch. 1.2 - Entering a postseason basketball tournament,...Ch. 1.2 - One of the most valuable uses of estimation is to...Ch. 1.2 - Refer to Problem 77. In getting my swimming pool...Ch. 1.2 - Sometimes graphs are drawn in such a way as to...Ch. 1.2 - Prob. 84ECh. 1.2 - Recall that the average speed of an object over...Ch. 1.2 - Prob. 86ECh. 1.2 - Prob. 87ECh. 1.2 - Prob. 88ECh. 1.2 - Prob. 89ECh. 1.2 - Prob. 90ECh. 1.3 -
Try This One 1
Suppose you want to cut a...Ch. 1.3 - A rectangular poster promoting the tailgate bash...Ch. 1.3 - Michelle shipped some packages for her boss and...Ch. 1.3 - A condo on the water in Myrtle Beach can be rented...Ch. 1.3 - Megans car gets 28 miles per gallon on long trips....Ch. 1.3 - A student teacher wants to divide his sixth grade...Ch. 1.3 - List and describe the four steps in problem...Ch. 1.3 - Discuss what you should do first when given a word...Ch. 1.3 - Discuss different ways you might be able to check...Ch. 1.3 - Prob. 4ECh. 1.3 -
5. Why is “application problem” a better name...Ch. 1.3 -
6. Think about a problem you’ve had to solve...Ch. 1.3 - One number is 6 more than another number, and...Ch. 1.3 - One number is 7 more than another number. Their...Ch. 1.3 - If 24 is added to a number, it will be 3 times as...Ch. 1.3 - If the smaller of two numbers is one-half of the...Ch. 1.3 - The sum of the digits of a two-digit number is 7....Ch. 1.3 - If the sum of the digits of a two-digit number is...Ch. 1.3 - When the mortgage is completely paid off for Mark...Ch. 1.3 - Hoang has worked as a nurse at Springfield General...Ch. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Arrange the digits 1, 2, and 3 to form two numbers...Ch. 1.3 - Nine athletes from a co-ed track team stop for...Ch. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - A fraternity charged 2.00 admission for dudes and...Ch. 1.3 - While reviewing the previous days arrest report, a...Ch. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Suzie hangs 10 pictures that each measure 812...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - A standard tube of silicone caulk will make a 3/16...Ch. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Kams monthly budget includes 256 for food. 125 for...Ch. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - Prob. 40ECh. 1.3 - Prob. 41ECh. 1.3 - Prob. 42ECh. 1.3 - A clerk earns 9.50 per hour and is paid time and a...Ch. 1.3 - A cell phone company charges 35 cents per minute...Ch. 1.3 - Last week at Chilis, my wife and I played a game...Ch. 1.3 - Last week at Chilis, my wife and I played a game...Ch. 1.3 - Prob. 47ECh. 1.3 - Prob. 48ECh. 1.3 - Prob. 49ECh. 1.3 - Prob. 50ECh. 1.3 - Prob. 51ECh. 1.3 - How many total triangles are in this figure?Ch. 1.3 - Prob. 53ECh. 1.3 - Prob. 54ECh. 1.3 - Almost everyone thinks at first that the next two...Ch. 1.3 - Prob. 56ECh. 1.3 - Prob. 57ECh. 1.3 - Prob. 58ECh. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 14, make reasonable conjectures for...Ch. 1 - For Exercises 5 and 6, make a reasonable...Ch. 1 - For Exercises 5 and 6, make a reasonable...Ch. 1 - For Exercises 7 and 8, find a counterexample to...Ch. 1 - For Exercises 7 and 8, find a counterexample to...Ch. 1 - Prob. 9RECh. 1 - For Exercises 9 and 10, use inductive reasoning to...Ch. 1 - In Exercises 11 and 12, use inductive reasoning to...Ch. 1 - In Exercises 11 and 12, use inductive reasoning to...Ch. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - For Exercises 1923, round each number to the place...Ch. 1 - For Exercises 1923, round each number to the place...Ch. 1 - Prob. 23RECh. 1 - Estimate the cost of four lawn mowers if each one...Ch. 1 - Estimate the cost of five textbooks if they cost...Ch. 1 - According to the trip computer on my car, I...Ch. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - The following pie chart was published in USA Today...Ch. 1 - Prob. 31RECh. 1 - The following pie chart was published in USA Today...Ch. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - A tennis team played 40 matches. The team won 20...Ch. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 1PTCh. 1 - Prob. 2PTCh. 1 - Prob. 3PTCh. 1 - Prob. 4PTCh. 1 - Use inductive reasoning to find a rule that...Ch. 1 - Prob. 6PTCh. 1 - An eccentric business owner decides to give...Ch. 1 - Prob. 8PTCh. 1 - Prob. 9PTCh. 1 - Prob. 10PTCh. 1 - Prob. 11PTCh. 1 - A number divided by 3 less than itself gives a...Ch. 1 - Prob. 13PTCh. 1 - Add five lines to the square to make three squares...Ch. 1 - Prob. 15PTCh. 1 - Prob. 16PTCh. 1 - Prob. 17PTCh. 1 - Prob. 18PTCh. 1 - Prob. 19PTCh. 1 - Prob. 20PTCh. 1 - Prob. 21PTCh. 1 - Prob. 22PTCh. 1 - Prob. 23PTCh. 1 - Prob. 24PTCh. 1 - Prob. 25PTCh. 1 - Prob. 26PTCh. 1 - Prob. 27PT
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