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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)
- Find the indefinite integral. (Use C for the constant of integration.) 9x arcsin(x) dxarrow_forwardFind the indefinite integral using the substitution x = 5 sin(e). (Use C for the constant of integration.) 1 dx (25-x²)3/2arrow_forwardFind the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of integration.) √ ׳ √x² - 49 dxarrow_forward
- Use the Cauchy Riemann equations (polar form version). Also, describe what happens at the branch cut.arrow_forwardb. i. Show that the following matrix is orthogonal. A = ドードー ii Find the inverse of matrix A. Show all working in an organized/orderly manner. 2 3 -619 A = 42 3 1 5 B-1127) a. Given D = , decode the following message: 32, 24, 42, 28, 24, 40, 50, 60, 132, 96, 12, 24arrow_forward2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following statements is correct? , the graph of h is increasing at an increasing rate. (A) For (B) For (C) For 苏|4 K|4 π π , the graph of h is increasing at a decreasing rate. 2 0 and b>1 (B) a>0 and 01 (D) a<0 and 0arrow_forwardQUESTION 4 Peter says that the following expressions can be simplified into one trigonometric ratio without the use of a calculator. Prove that Peter is correct by simplifying the following expressions into one trigonometric ratio: 4.1 sin 43° + sin 17º (5)arrow_forward3. Consider the sequences of functions fn: [-T, π] → R, sin(n²x) n(2) n (i) Find a function f : [-T, π] R such that fnf pointwise as n∞. Further, show that f uniformly on [-T,π] as n→ ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]? Justify your answer. [10 Marks]arrow_forwardAmong a student group 54% use Google Chrome, 20% Internet Explorer, 10% Firefox, 5% Mozilla, and the rest use Safari. What is the probability that you need to pick 7 students to find 2 students using Google Chrome? Report answer to 3 decimals.arrow_forwardQuestion 3 a. Using Laplace theorem, find the determinant of the following matrix. 3 5 2 4 1 3 7 6 A= 2 48 3 569 7arrow_forwardSamples of rejuvenated mitochondria are mutated (defective) with a probability 0.13. Find the probability that at most one sample is mutated in 10 samples. Report answer to 3 decimal places.arrow_forwardGood Day, Please assist with the following. Regards,arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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