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 1.3, Problem 24E
Physical Sciences
Length of a Pendulum Grandfather clocks use pendulums to keep accurate time. The relationship between the length of a pendulum L. and the time T for one complete oscillation can be determined from the data in the table.* Source: Gary Rockswold.
| L(ft) | T(sec) |
| 1.0 | 1.11 |
| 1.5 | 1.36 |
| 2.0 | 1.57 |
| 2.5 | 1.76 |
| 3.0 | 1.92 |
| 3.5 | 2.08 |
| 4.0 | 2.22 |
(a) Plot the data from the table with L as the horizontal axis and T as the vertical axis.
(b) Find the least squares line equation and graph it simultaneously, if possible, with the data points. Does it seem to fit the data?
*The actual relationship is L = 0.81 T2, which is not a linear relationship. This illustrates that even if the relationship is not linear, a. line can give a good approximation.
(c) Find the
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Chapter 1 Solutions
Finite Mathematics (11th Edition)
Ch. 1.1 - Find the slope of each line. Through (4,5) and...Ch. 1.1 - Find the slope of each line. Through (5,-4) and...Ch. 1.1 - Find the slope of each line. Through (8,4) and (8,...Ch. 1.1 - Find the slope of each line. Through (1,5) and...Ch. 1.1 - Find the slope of each line. y = xCh. 1.1 - Find the slope of each line. y = 3x - 2Ch. 1.1 - Find the slope of each line. 5x - 9y = 11Ch. 1.1 - Find the slope of each line. 4x + 7y = 1Ch. 1.1 - Find the slope of each line. 9. x = 5Ch. 1.1 - Find the slope of each line. The x-axis
Ch. 1.1 - Find the slope of each line. y = 8Ch. 1.1 - Find the slope of each line. y = -6Ch. 1.1 - Find the slope of each line. A line parallel to 6x...Ch. 1.1 - Find the slope of each line. A line perpendicular...Ch. 1.1 - In Exercises 24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 17ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 19ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - In Exercises 15- find an equation in...Ch. 1.1 - In Exercises 34, find an equation for each line in...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Do the points (4,3), (2,0), and (-18,-12) lie on...Ch. 1.1 - Find k so that the line through (4, -1) and (k, 2)...Ch. 1.1 - Prob. 37ECh. 1.1 - Use slopes to show that the square with vertices...Ch. 1.1 - For the lines in Exercises and 40, which of the...Ch. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - In Exercises 41 and estimate the slope of the...Ch. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Graph each equation. 2x - 3y = 12Ch. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Graph each equation. y +8 = 0Ch. 1.1 - Prob. 57ECh. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - Graph each equation. 3x - 5y = 0Ch. 1.1 - Business and Economics Sales The sales of a small...Ch. 1.1 - Cost The total cost for a bakery to produce 100...Ch. 1.1 - Tuition The table lists the annual cost (in...Ch. 1.1 - Use of Cellular Telephones The following table...Ch. 1.1 - Consumer Price Index The Consumer Price Index...Ch. 1.1 - Life Sciences HIV Infection The time interval...Ch. 1.1 - Exercise Heart Rate To achieve the maximum benefit...Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Social Sciences Child Mortality Rate The mortality...Ch. 1.1 - Immigration In 1950, there were 249.187 immigrants...Ch. 1.1 - Marriage The following Table lists the U.S. median...Ch. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - /em>x and g(x)...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 8ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 10ECh. 1.2 - In Exercises 14, decide whether the statement is...Ch. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Business and Economics Supply and Demand Suppose...Ch. 1.2 - Prob. 28ECh. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Break-Even Analysis Producing x units of tacos...Ch. 1.2 - Break-Even Analysis To produce x units of a...Ch. 1.2 - T-Shirt Cost Joanne Wendelken sells silk-screened...Ch. 1.2 - Prob. 36ECh. 1.2 - Marginal Cost of Coffee The manager of a...Ch. 1.2 - Marginal Cost of a New Plant In deciding whether...Ch. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Temperature Find the temperature at which the...Ch. 1.2 - General Interest Education Cost A recent budget...Ch. 1.3 - Suppose a positive linear correlation is found...Ch. 1.3 - Given a set of points, the least squares line...Ch. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Business and Economics Consumer Durable Goods The...Ch. 1.3 - Prob. 11ECh. 1.3 - Internet The percent of households with Internet...Ch. 1.3 - Landlines The percent of U.S. households with...Ch. 1.3 - Consumer Credit The total amount of consumer...Ch. 1.3 - Prob. 15ECh. 1.3 - Air Fares Using Expedia, a discount travel...Ch. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Social Sciences Pupil-Teacher Ratios The following...Ch. 1.3 - Prob. 21ECh. 1.3 - Ideal Partner Height In an introductory statistics...Ch. 1.3 - Prob. 23ECh. 1.3 - Physical Sciences Length of a Pendulum Grandfather...Ch. 1.3 - Prob. 25ECh. 1.3 - General Interest Football The following data give...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Running If you think a marathon is a long race,...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - Prob. 6EACh. 1 - Now look at the residuals as a fresh data set, and...Ch. 1 - Prob. 8EACh. 1 - Prob. 9EACh. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - PRACTICE AND EXPLORATIONS What is marginal cost?...Ch. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 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 - Supply and Demand A company is manufacturing a new...Ch. 1 - Prob. 50RECh. 1 - Cost In Exercises 50-53, find a linear cost...Ch. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Social Security The average monthly Social...Ch. 1 - Meat Consumption The U.S. per capita consumption...Ch. 1 - Prob. 60RECh. 1 - Blood Sugar and Cholesterol Levels The following...Ch. 1 - Prob. 62RECh. 1 - Poverty The following table gives the number (in...Ch. 1 - Prob. 64RECh. 1 - Prob. 65RE
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- Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?arrow_forwardThe Kelvin Temperature Scale Physicists and chemists often use the Kelvin temperature scale. In order to determine the relationship between the Fahrenheit and Kelvin temperature scales, a lab assistant put Fahrenheit and Kelvin thermometers side by side and took readings at various temperatures. The following data were recorded. K = kelvins F = degrees Fahrenheit 200 -99.67 220 -63.67 240 -27.67 260 8.33 280 44.33 300 80.33 a. Show that the temperature F in degrees Fahrenheit is a linear function of the temperature K in kelvins. b. What is the slope of this linear function? Note: Be sure to take into account that the table lists kelvins in jumps of 20 rather than in jumps of 1. c. Find a formula for the linear function. d. Normal body temperature is 98.6 degrees Fahrenheit. What is that temperature in kelvins? e. If temperature increases by 1 kelvin, by how many degrees Fahrenheit does it increase? If temperature increases by 1 degree Fahrenheit, by how many kelvins does it increase? f. The temperature of 0 kelvins is known as absolute zero. It is not quite accurate to say that all molecular motion ceases at absolute zero, but at that temperature the system has its minimum possible total energy. It is thought that absolute zero cannot be attained experimentally, although temperatures lower than 0.0000001 kelvin have been attained. Find the temperature of absolute zero in degrees Fahrenheit.arrow_forwardRunning Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600arrow_forward
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