
Concept explainers
Recognizing Fallacies. In the following arguments, identify the premise(s) and conclusion, explain why the argument is deceptive, and , if possible, identify the type of fallacy it represents.
25. Obesity among Americans has increased steadily; as has the sale of video games. It follows that video games are compromising the health of Americans.
26. The polls show the Republican candidate leading by a 2-to-1 margin, so you should vote for the Republican.
27. All the mayors of my hometown have been men, which shows that men are better qualified for high office than women.
28. My father tells me that I should exercise daily. But he never exercised when he was young, so I see no need to follow his advice.
29. My baby was vaccinated and later developed autism, which is why I believe that vaccines cause autism.
30. The state has no right to take a life, so the death penalty should be abolished.
31. Everyone loves Shakespeare, because his plays have been read for many centuries.
32. Claims that GMO foods are unsafe are ridiculous, as I’ve never heard of anyone getting sick from them.
33. I will not give money to the earthquake relief effort. Alter I last gave to a charity, an audit showed that most of the money was used to pay its administrators in the front office.
34. It’s not surprising that President Obama’s budget contains spending increases. Democrats don’t care about taxpayers’ money.
35. The Congressperson is a member of the National Rifle Association, so I’m sure she will not support a ban on assault rifles.
36. My three friends who drink wine have never had heart attacks. My two friends who have had heart attacks are non-drinkers. Drinking wine is clearly a good therapy.
37. Responding to Republicans who want to end the estate tax, which falls most heavily on the wealth, a Democrat says, "The Republicans think that rich people aren’t rich enough."
38. The Wyoming toad has not been seen outside of captivity since 2002, so it must be extinct in the wild.
39. My little boy loves dolls and my little girl loves trucks, so there’s no truth to the claim that boys are more interested in mechanical toys while girls prefer maternal toys.
40. Responding to Democrats who want to raise the fuel efficiency standards for new cars and trucks, a Republican says, "Democrats think that government is the solution to all our problems….

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Chapter 1 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
- Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, suppose the probabilities of Atlanta winning each game are as follows. Game 1 2 3 4 5 6 7 Probability of Win 0.61 0.54 0.47 0.46 0.47 0.56 0.49 Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model to answer the following questions. (Use at least 1,000 trials.) (a) What is the average number of games played regardless of winner? (Round your answer to one decimal place.) games (b) What is the probability that the Atlanta Braves win the World Series? (Round your answer to…arrow_forward1 Brinkley 2 A B с D E F G H I J 3 Parameters 4 Selling Price 5 Procurement Cost 6 Labor Cost 7 Transportation Cost 8 9 Procurement Cost 10 Lower End of Interval Upper End of Interval Cost Probability 11 $10.00 12 $11.00 0.25 0.45 13 $12.00 0.3 14 15 Labor Cost 16 Lower End of Interval Upper End of Interval Cost Probability 17 $20.00 0.1 18 $22.00 0.25 19 $24.00 0.35 20 $25.00 0.3 21 22 Transportation Cost 23 Lower End of Interval Upper End of Interval Cost Probability 24 25 $3.00 $5.00 0.75 0.25 26 27 Model 28 Profit Per Unit 29 30 Simulation Trial Procurement Cost Labor Cost Transportation Cost Profit Per Unit Summary Statistics 31 1 Mean Profit Per Unit #DIV/0! 32 2 P(Profit <$5) #DIV/0! 83 3 34 4 35 5 36 6 37 7 38 8 39 9 40 10arrow_forwardModel File Available: Download WeddingIMS.xlsx The wedding date for a couple is quickly approaching, and the wedding planner must provide the caterer an estimate of how many people will attend the reception so that the appropriate quantity of food is prepared for the buffet. The following table contains information on the number of RSVP guests for the 145 invitations. Unfortunately, the number of guests does not always correspond to the number of RSVPed guests. Based on her experience, the wedding planner knows it is extremely rare for guests to attend a wedding if they notified that they will not be attending. Therefore, the wedding planner will assume that no one from these 50 invitations will attend. The wedding planner estimates that the each of the 25 guests planning to come solo has a 74% chance of attending alone, a 20% chance of not attending, and a 6% chance of bringing a companion. For each of the 60 RSVPs who plan to bring a companion, there is a 90% chance that they will…arrow_forward
- Q.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.arrow_forwardThe table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month. Years of Experience (x) Number of Goods (y) 11 63 5 57 1 48 4 54 5 45 3 51 Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set. Do NOT change the units for the variables. X y X2 xy Ex= Ey= EX2 EXY= Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience. Q.1.3 Using your calculator, determine the coefficient of correlation for the data set. Interpret your answer. Q.1.4 Compute the coefficient of determination for the data set. Interpret your answer.arrow_forwardProve that f: f →> R 16 One-to- one.arrow_forward
- Use mathematical induction to prove the following statement: For all natural numbers n, 5 divides 6^n - 1arrow_forwardthe set of all preimages of 2 isarrow_forwardWhich diagram(s) represent the following relationships An injective function from A to B? A surjective function from A to B? An injective function from B to A? A surjective function from B to A?arrow_forward
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