The Heart of Mathematics: An Invitation to Effective Thinking

4th Edition

ISBN: 9781118156599

Author: Edward B. Burger, Michael Starbird

Publisher: Wiley, John & Sons, Incorporated

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Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

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Textbook Question

Chapter 5.2, Problem 33MS

Find a band. Find a MĂ¶bius band on the surface of a Klein bottle. (The answer to the Rubber Klein story [Mindscape 25] may help.)

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Chapter 5.2, Problem 32MS

Chapter 5.2, Problem 34MS

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Cont. * Mast. * Prop. Pie APRI. Chec. | Chec.. b Verif.. g 05-. 04 - MA.. A Mast.. M Math. Mind. The value y (in 1982-1984 dollars) of each dollar paid by consumers in each of the years from 1994 through 2008 in a country is represented by the ordered pairs. (1994, 0.676) (1996, 0.638) (1998, 0.608) (2000, 0.584) (2002, 0.556) (2004, 0.528) (2006, 0.494) (2008, 0.461) (1995, 0.658) (1997, 0.622) (1999, 0.599) (2001, 0.568) (2003, 0.543) (2005, 0.509) (2007, 0.486) (a) Use a spreadsheet software program to generate a scatter plot of the data. Let t = 4 represent 1994. Do the data appear linear? O Yes O No (b) Use the regression feature of the spreadsheet software program to find a linear model for the data. (Let t represent time. Round your numerical values to four decimal places.) y = (c) Use the model to predict the value (in 1982-1984 dollars) of 1 dollar paid by consumers in 2010 and in 2013. (Round your answers to two decimal places.) 2010 $4 2013 $4 Discuss the reliability of your…

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Chapter 5 Solutions

The Heart of Mathematics: An Invitation to Effective Thinking

Ch. 5.1 - Describing distortion. What does it mean to say...Ch. 5.1 - Your last sheet. Youre in your bathroom reading...Ch. 5.1 - Rubber polygons. Find a large rubber band and...Ch. 5.1 - Out, out red spot. Remove the red spot from the...Ch. 5.1 - That theta (S). Does there exist a pair of points...Ch. 5.1 - Your ABCs (H). Consider the following letters made...Ch. 5.1 - Half dollar and a straw. Suppose we drill a hole...Ch. 5.1 - Drop them. Is it possible to take off your...Ch. 5.1 - Coffee and doughnuts (H). Is a standard coffee mug...Ch. 5.1 - Lasting ties. Tie a thin rope around a friends...

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