Nature of Mathematics (MindTap Course List)
13th Edition
ISBN: 9781133947257
Author: karl J. smith
Publisher: Cengage Learning
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Textbook Question
Chapter 14.5, Problem 1PS
IN YOUR OWN WORDS When you hear the word statistics, what comes to mind? Look up the word in a dictionary, and see if you wish to supplement or change any part of your answer.
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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
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Chapter 14 Solutions
Nature of Mathematics (MindTap Course List)
Ch. 14.1 - IN YOUR OWN WORDS Name and describe several...Ch. 14.1 - IN YOUR OWN WORDS Distinguish between a frequency...Ch. 14.1 - IN YOUR OWN WORDS Write down what you think the...Ch. 14.1 - Prob. 4PSCh. 14.1 - Consider the line graph shown in Figure 14.11. a....Ch. 14.1 - Prob. 6PSCh. 14.1 - Consider the line graph shown in Figure 14.13. a....Ch. 14.1 - Prob. 8PSCh. 14.1 - The amount of electricity used in a typical...Ch. 14.1 - At a well-known major university, the career...
Ch. 14.1 - In Section 14.4 we will discuss scatter diagrams,...Ch. 14.1 - Prob. 12PSCh. 14.1 - Decide whether something is wrong with each of the...Ch. 14.1 - Prob. 14PSCh. 14.1 - Decide whether something is wrong with each of the...Ch. 14.1 - Prob. 16PSCh. 14.1 - Prob. 17PSCh. 14.1 - Prob. 18PSCh. 14.1 - When a person in California renews the...Ch. 14.1 - When a person in California renews the...Ch. 14.1 - Prob. 21PSCh. 14.1 - When a person in California renews the...Ch. 14.1 - Prob. 23PSCh. 14.1 - Prepare a frequency distribution for each data set...Ch. 14.1 - Prob. 25PSCh. 14.1 - Prob. 26PSCh. 14.1 - Prob. 27PSCh. 14.1 - Draw a stem-and-leaf plot for each data set in...Ch. 14.1 - Prob. 29PSCh. 14.1 - Prob. 30PSCh. 14.1 - Prob. 31PSCh. 14.1 - Prob. 32PSCh. 14.1 - Prob. 33PSCh. 14.1 - Prob. 34PSCh. 14.1 - Prob. 35PSCh. 14.1 - Prob. 36PSCh. 14.1 - Prob. 37PSCh. 14.1 - Prob. 38PSCh. 14.1 - Prob. 39PSCh. 14.1 - Prob. 40PSCh. 14.1 - Prob. 41PSCh. 14.1 - Prob. 42PSCh. 14.1 - Prob. 43PSCh. 14.1 - Prob. 44PSCh. 14.1 - Prob. 45PSCh. 14.1 - Prob. 46PSCh. 14.1 - Prob. 47PSCh. 14.1 - Prob. 48PSCh. 14.1 - Prob. 49PSCh. 14.1 - Prob. 50PSCh. 14.1 - Prob. 51PSCh. 14.1 - Prob. 52PSCh. 14.1 - Prob. 53PSCh. 14.1 - Prob. 54PSCh. 14.1 - A newspaper article discussing whether Social...Ch. 14.1 - Prob. 56PSCh. 14.1 - A newspaper article discussing whether Social...Ch. 14.1 - There seems to be an error in the pictograph. What...Ch. 14.1 - Prob. 59PSCh. 14.1 - Prob. 60PSCh. 14.2 - IN YOUR OWN WORDS What do we mean by average?Ch. 14.2 - Prob. 2PSCh. 14.2 - Prob. 3PSCh. 14.2 - Prob. 4PSCh. 14.2 - Prob. 5PSCh. 14.2 - Prob. 6PSCh. 14.2 - Prob. 7PSCh. 14.2 - Prob. 8PSCh. 14.2 - Prob. 9PSCh. 14.2 - Prob. 10PSCh. 14.2 - Prob. 11PSCh. 14.2 - In Problems 1118, find the three measures of...Ch. 14.2 - Prob. 13PSCh. 14.2 - In Problems 1118, find the three measures of...Ch. 14.2 - Prob. 15PSCh. 14.2 - Prob. 16PSCh. 14.2 - Prob. 17PSCh. 14.2 - Prob. 18PSCh. 14.2 - Create a box plot for the data given in Problems...Ch. 14.2 - Prob. 20PSCh. 14.2 - Prob. 21PSCh. 14.2 - Prob. 22PSCh. 14.2 - In Problems 2330, find the range and the standard...Ch. 14.2 - Prob. 24PSCh. 14.2 - Prob. 25PSCh. 14.2 - Prob. 26PSCh. 14.2 - Prob. 27PSCh. 14.2 - Prob. 28PSCh. 14.2 - Prob. 29PSCh. 14.2 - Prob. 30PSCh. 14.2 - Prob. 31PSCh. 14.2 - Prob. 32PSCh. 14.2 - Find the mean, the median, and the mode of the...Ch. 14.2 - G. Thumb, the leading salesperson for the Moe D....Ch. 14.2 - Prob. 35PSCh. 14.2 - Prob. 36PSCh. 14.2 - Prob. 37PSCh. 14.2 - Prob. 38PSCh. 14.2 - Prob. 39PSCh. 14.2 - Prob. 40PSCh. 14.2 - The graph in the figure 14.32 shows the...Ch. 14.2 - The graph in the figure 14.33 shows the salaries...Ch. 14.2 - Prob. 43PSCh. 14.2 - Prob. 44PSCh. 14.2 - Use the nutritional information about candy bars...Ch. 14.2 - Use the nutritional information about candy bars...Ch. 14.2 - Prob. 47PSCh. 14.2 - Find the standard deviation rounded to the nearest...Ch. 14.2 - Find the standard deviation rounded to the nearest...Ch. 14.2 - Find the standard deviation rounded to the nearest...Ch. 14.2 - Prob. 51PSCh. 14.2 - Prob. 52PSCh. 14.2 - Prob. 53PSCh. 14.2 - Prob. 54PSCh. 14.2 - Prob. 55PSCh. 14.2 - When you take the Scholastic Assessment Test SAT,...Ch. 14.2 - The mean defined in the text is sometimes called...Ch. 14.2 - Prob. 58PSCh. 14.2 - Prob. 59PSCh. 14.2 - Let Q1,Q2, andQ3 be the quartiles for a large...Ch. 14.3 - IN YOUR OWN WORDS What do we mean by a cumulative...Ch. 14.3 - IN YOUR OWN WORDS What does it mean to grade on a...Ch. 14.3 - IN YOUR OWN WORDS What is a normal curve?Ch. 14.3 - IN YOUR OWN WORDS What does the z-score, or...Ch. 14.3 - Find the cumulative distribution, the mean,...Ch. 14.3 - Find the cumulative distribution, the mean,...Ch. 14.3 - Find the cumulative distribution, the mean,...Ch. 14.3 - Find the cumulative distribution, the mean,...Ch. 14.3 - Find the cumulative distribution, the mean,...Ch. 14.3 - Find the cumulative distribution, the mean,...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - What percent of the total population is found...Ch. 14.3 - In Problems 2326, suppose that peoples heights in...Ch. 14.3 - In Problems 2326, suppose that peoples heights in...Ch. 14.3 - In Problems 2326, suppose that peoples heights in...Ch. 14.3 - In Problems 2326, suppose that peoples heights in...Ch. 14.3 - In Problems 2730 suppose that, for a certain exam,...Ch. 14.3 - In Problems 2730 suppose that, for a certain exam,...Ch. 14.3 - In Problems 2730 suppose that, for a certain exam,...Ch. 14.3 - In Problems 2730 suppose that, for a certain exam,...Ch. 14.3 - Identify each distribution in Problems 3134 as...Ch. 14.3 - Identify each distribution in Problems 3134 as...Ch. 14.3 - Identify each distribution in Problems 3134 as...Ch. 14.3 - Identify each distribution in Problems 3134 as...Ch. 14.3 - In Problems 3539, suppose that, for a certain...Ch. 14.3 - In Problems 3539, suppose that, for a certain...Ch. 14.3 - In Problems 3539, suppose that, for a certain...Ch. 14.3 - In Problems 3539, suppose that, for a certain...Ch. 14.3 - In Problems 3539, suppose that, for a certain...Ch. 14.3 - In a distribution that is skewed to the right,...Ch. 14.3 - In a distribution that is skewed to the left,...Ch. 14.3 - A normal distribution has a mean of 85.7 and a...Ch. 14.3 - A normal distribution has a mean of 85.7 and a...Ch. 14.3 - A normal distribution has a mean of 85.7 and a...Ch. 14.3 - A normal distribution has a mean of 85.7 and a...Ch. 14.3 - Suppose that the breaking strength of a rope in...Ch. 14.3 - The diameter of an electric cable is normally...Ch. 14.3 - Suppose that the annual rainfall in Ferndale,...Ch. 14.3 - Prob. 49PSCh. 14.3 - In problem 48, what is the probability that the...Ch. 14.3 - Prob. 51PSCh. 14.3 - The diameter of a pipe is normally distributed,...Ch. 14.3 - Prob. 53PSCh. 14.3 - Prob. 54PSCh. 14.3 - A package of Toys Galore Cereal is marked Net Wt....Ch. 14.3 - Prob. 56PSCh. 14.3 - Prob. 57PSCh. 14.3 - Prob. 58PSCh. 14.3 - IN YOUR OWN WORDS Calculate values for the...Ch. 14.3 - Prob. 60PSCh. 14.4 - IN YOUR OWN WORDS What do we mean by correlation?Ch. 14.4 - Prob. 2PSCh. 14.4 - Prob. 3PSCh. 14.4 - Prob. 4PSCh. 14.4 - Prob. 5PSCh. 14.4 - Prob. 6PSCh. 14.4 - Prob. 7PSCh. 14.4 - In Problem 718, a sample of paired data gives a...Ch. 14.4 - Prob. 9PSCh. 14.4 - Prob. 10PSCh. 14.4 - Prob. 11PSCh. 14.4 - Prob. 12PSCh. 14.4 - Prob. 13PSCh. 14.4 - Prob. 14PSCh. 14.4 - Prob. 15PSCh. 14.4 - Prob. 16PSCh. 14.4 - Prob. 17PSCh. 14.4 - Prob. 18PSCh. 14.4 - Match the equation and correlation in Problems...Ch. 14.4 - Match the equation and correlation in Problems...Ch. 14.4 - Prob. 21PSCh. 14.4 - Prob. 22PSCh. 14.4 - Prob. 23PSCh. 14.4 - Match the equation and correlation in Problems...Ch. 14.4 - Prob. 25PSCh. 14.4 - Prob. 26PSCh. 14.4 - Prob. 27PSCh. 14.4 - Prob. 28PSCh. 14.4 - Prob. 29PSCh. 14.4 - Prob. 30PSCh. 14.4 - Prob. 31PSCh. 14.4 - Prob. 32PSCh. 14.4 - Prob. 33PSCh. 14.4 - Prob. 34PSCh. 14.4 - Prob. 35PSCh. 14.4 - Prob. 36PSCh. 14.4 - Prob. 37PSCh. 14.4 - Prob. 38PSCh. 14.4 - Prob. 39PSCh. 14.4 - Prob. 40PSCh. 14.4 - Given the information in Problems 4144, find the...Ch. 14.4 - Prob. 42PSCh. 14.4 - Given the information in Problems 4144, find the...Ch. 14.4 - Given the information in Problems 4144, find the...Ch. 14.4 - A New computer circuit was tested and the times in...Ch. 14.4 - A group of ten people were selected and given a...Ch. 14.4 - Find the regression line for the data in Problem...Ch. 14.4 - Find the regression line for the data in Problem...Ch. 14.4 - Prob. 49PSCh. 14.4 - Prob. 50PSCh. 14.4 - Prob. 51PSCh. 14.4 - Prob. 52PSCh. 14.4 - Prob. 53PSCh. 14.4 - Prob. 54PSCh. 14.4 - Prob. 55PSCh. 14.4 - Prob. 56PSCh. 14.4 - Prob. 57PSCh. 14.4 - Prob. 58PSCh. 14.4 - Prob. 59PSCh. 14.5 - IN YOUR OWN WORDS When you hear the word...Ch. 14.5 - Prob. 2PSCh. 14.5 - Prob. 3PSCh. 14.5 - Prob. 4PSCh. 14.5 - Use the formula in Example 1 to determine the...Ch. 14.5 - Use the formula in Example 1 to determine the...Ch. 14.5 - Prob. 7PSCh. 14.5 - Prob. 8PSCh. 14.5 - Use the formula in Example 1 to determine the...Ch. 14.5 - Prob. 10PSCh. 14.5 - Use the formula in Example 1 to determine the...Ch. 14.5 - Prob. 12PSCh. 14.5 - Use the formula in Example 1 to determine the...Ch. 14.5 - Prob. 14PSCh. 14.5 - An ice cream store wants to use a survey to...Ch. 14.5 - In a certain geographical market, Sprint wishes to...Ch. 14.5 - Prob. 17PSCh. 14.5 - Prob. 18PSCh. 14.5 - A school board wishes to determine opinions of...Ch. 14.5 - Prob. 20PSCh. 14.5 - Prob. 21PSCh. 14.5 - Bettys Koi Emporium has decided to conduct a...Ch. 14.5 - Prob. 23PSCh. 14.5 - An espresso coffee franchise is considering...Ch. 14.5 - Prob. 25PSCh. 14.5 - Prob. 26PSCh. 14.5 - Prob. 27PSCh. 14.5 - Prob. 28PSCh. 14.5 - Prob. 29PSCh. 14.5 - Prob. 30PSCh. 14.5 - Prob. 31PSCh. 14.5 - Prob. 32PSCh. 14.5 - Prob. 33PSCh. 14.5 - Prob. 34PSCh. 14.5 - Prob. 35PSCh. 14.5 - Prob. 36PSCh. 14.5 - Prob. 37PSCh. 14.5 - Prob. 38PSCh. 14.5 - Prob. 39PSCh. 14.5 - Prob. 40PSCh. 14.5 - Prob. 41PSCh. 14.5 - Prob. 42PSCh. 14.5 - Prob. 43PSCh. 14.5 - Prob. 44PSCh. 14.5 - Prob. 45PSCh. 14.5 - Prob. 46PSCh. 14.5 - Prob. 47PSCh. 14.5 - Prob. 48PSCh. 14.5 - Prob. 49PSCh. 14.5 - Prob. 50PSCh. 14.5 - Prob. 51PSCh. 14.5 - Prob. 52PSCh. 14.5 - Prob. 53PSCh. 14.5 - Prob. 54PSCh. 14.5 - Prob. 55PSCh. 14.5 - Prob. 56PSCh. 14.CR - Prob. 1CRCh. 14.CR - Prob. 2CRCh. 14.CR - Prob. 3CRCh. 14.CR - Prob. 4CRCh. 14.CR - Prob. 5CRCh. 14.CR - Prob. 6CRCh. 14.CR - Prob. 7CRCh. 14.CR - Prob. 8CRCh. 14.CR - Prob. 9CRCh. 14.CR - Prob. 10CRCh. 14.CR - Prob. 11CRCh. 14.CR - Prob. 12CRCh. 14.CR - Prob. 13CRCh. 14.CR - Prob. 14CRCh. 14.CR - Prob. 15CRCh. 14.CR - Prob. 16CRCh. 14.CR - Prob. 17CRCh. 14.CR - Prob. 18CRCh. 14.CR - Prob. 19CR
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