Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 59RE
Broadway In the survey described in Exercise 58, the demographics of the Broadway performers were recorded as shown in the next column. Assume that all of these demographics follow a
(a) Find the probability that a female dancer is 35 years old or older.
(b) Find the probability that a male dancer is 35 years old or older.
(c) Compare your answers to parts (a) and (b).
| Mean | Standard Deviation | |
| Dancer's Age (female) | 28.0 | 5.5 |
| Dancer's Age (male) | 32.2 | 8.4 |
| Height (in m) (female) | 1.64 | 0.08 |
| Duration as Professional in yr (female) | 11.0 | 8.9 |
| Total No. of Injuries as Performer (female) | 3.0 | 2.2 |
(d) Find the probability that a female performer is 1.4 m tall or taller.
(e) Find the probability that a female performer has a career duration that is more than 1.5 standard deviations from the mean.
(f) Would a female who has more than 6 injuries during her career be considered a rare event? Explain.
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7. (a) (i) Express y=-x²-7x-15 in the form
y = −(x+p)²+q.
(ii) Hence, sketch the graph of
y=-x²-7x-15.
(b) (i) Express y = x² - 3x + 4 in the form
y = (x − p)²+q.
(ii) Hence, sketch the graph of y = x² - 3x + 4.
28
CHAPTER 1
-
(c) Suppose V is a solution to the PDE V₁ – V× = 0 and W is a solution to the PDE
W₁+2Wx = 0.
(i) Prove that both V and W are solutions to the following 2nd order PDE
Utt Utx2Uxx
= 0.
(ii) Find the general solutions to the 2nd order PDE (1) from part c(i).
(1)
Solve the following inhomogeneous wave equation with initial data.
Utt-Uxx = 2, x = R
U(x, 0) = 0
Ut(x, 0):
= COS X
Chapter 9 Solutions
Finite Mathematics (11th Edition)
Ch. 9.1 - For Exercises 1-4, do the following: (a) Group the...Ch. 9.1 - For Exercises 1-4, do the following: (a) Group the...Ch. 9.1 - For Exercises 1-4, do the following: (a) Group the...Ch. 9.1 -
For Exercises 1-4, do the following:
(a) Group...Ch. 9.1 - How does a frequency polygon differ from a...Ch. 9.1 - Discuss the advantages and disadvantages of the...Ch. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 -
Find the mean for each list of numbers.
12....Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Use a graphing calculator or spreadsheet to...Ch. 9.1 -
Find the mode or modes for each list of...Ch. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - When is the median the most appropriate measure of...Ch. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 -
38. Salaries The total compensation (in millions...Ch. 9.1 -
39. Household Income The total income for...Ch. 9.1 - Household Income The total income for white...Ch. 9.1 - Prob. 41ECh. 9.1 -
42. Housing Prices An Erie, PA, newspaper...Ch. 9.1 - Prob. 43ECh. 9.1 - Pandas The size of the home ranges (in square...Ch. 9.1 - Blood Types The number of recognized blood types...Ch. 9.1 -
46. Temperature The following table gives the...Ch. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 -
51. Baseball Salaries The Major League Baseball...Ch. 9.1 - Prob. 52ECh. 9.2 - How are the variance and the standard deviation...Ch. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 -
Find the range and standard deviation for each...Ch. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Sales Promotion The Quaker Oats Company conducted...Ch. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 -
29. Washer Thickness An assembly-line machine...Ch. 9.2 - Unemployment The number of unemployed workers in...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - v
33. Home-Based Workers Because of advancements...Ch. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 -
39. Baseball Salaries The table in Exercise 51,...Ch. 9.2 -
40. Box Office Receipts The table below lists...Ch. 9.2 - Prob. 41ECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 -
Find the percent of the total area under the...Ch. 9.3 - Prob. 11ECh. 9.3 -
Find the percent of the total area under the...Ch. 9.3 - Prob. 13ECh. 9.3 - Find the percent of the total area under the...Ch. 9.3 - Prob. 15ECh. 9.3 -
Find a z-score satisfying the following...Ch. 9.3 - Prob. 17ECh. 9.3 -
Find a z-score satisfying the following...Ch. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - In all of the following applications, assume the...Ch. 9.3 - Prob. 23ECh. 9.3 -
In all of the following applications, assume the...Ch. 9.3 - Prob. 25ECh. 9.3 - In all of the following applications, assume the...Ch. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Quality Control A box of oatmeal must contain 16...Ch. 9.3 - Prob. 31ECh. 9.3 -
Quality Control A box of oatmeal must contain 16...Ch. 9.3 - Prob. 33ECh. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 -
36. Between 1600 and 2000 g
Ch. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 - Quality Control The chickens at Colonel Thompson's...Ch. 9.3 - Annual Bonuses Salespeople of a large corporation...Ch. 9.3 - Grocery Bills At the Discount Market, the average...Ch. 9.3 -
41. Quality Control A machine that fills quart...Ch. 9.3 -
42. Quality Control A machine produces bolls with...Ch. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Prob. 47ECh. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Prob. 50ECh. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 -
Suppose 16 coins are tossed. Find the...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Hole in One In the 1989 U.S. Open, four golfers...Ch. 9 -
1. Check the Court's calculation of 29...Ch. 9 - Prob. 2EACh. 9 - Prob. 3EACh. 9 - Prob. 4EACh. 9 - Prob. 5EACh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 -
Find the median and the mode (or modes) for each...Ch. 9 -
Find the median and the mode (or modes) for each...Ch. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 -
26. What is meant by the range of a...Ch. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - Prob. 42RECh. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 -
51. Use the normal distribution to find the...Ch. 9 - Prob. 52RECh. 9 - Prob. 53RECh. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 -
59. Broadway In the survey described in Exercise...
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