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Mathematics
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Using and Understanding Mathematics
Quiz 1: Thinking Critically
Path 4
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Question 1
Essay
The argument contains an example of the fallacy named in parentheses. Explain how the fallacy occurs in the argument. -(Diversion)We've just remodeled the restaurant, so our food is delicious!
Question 2
Essay
A seemingly simple argument is given. Identify at least two hidden assumptions. -Jeremy needs a new bike, because the new models have a safer braking system.
Question 3
Essay
The argument contains an example of the fallacy named in parentheses. Explain how the fallacy occurs in the argument. -(Appeal to Emotion)A television commercial shows a happy, attractive family dining at Ma & Pa's Restaurant.
Question 4
Essay
The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -"As your Senator, I cannot in good conscience oppose those who are against deregulation."
Question 5
Essay
Draw a Venn diagram to determine whether the argument is valid. -Premise: No surfers speak French. Premise: Pierre speaks French. Conclusion: Pierre is not a surfer.
Question 6
Essay
Analyze the situation and explain how you would make a decision. -You need a rental car for four days. The daily rate is $20 per day plus 20¢ per mile. The weekly rate is $100, and mileage is included. Which is the better option?
Question 7
True/False
The statement connects two individual propositions with the word or. State whether the entire statement is true or false,and explain why. -Cats reads books or dogs bark.
Question 8
Essay
Provide an appropriate response. -IRS guidelines state that a married person under 65 years of age who can be claimed as a dependent on another person's tax return must file a return if (i)unearned income was over $750; or (ii)earned income was over $3925; or (iii)total of earned and unearned income was at least $5 and your spouse files a separate return and itemizes deductions; or (iv)total of earned and unearned income was more than the greater of a)$750; or b)earned income (up to $3675)plus $250. Julia is 45 years old and can be claimed as a dependent by her father. She had earned income of $3800 and unearned income of $200. Julia's husband Bret files a separate return but does not itemize deductions. Must Julia file a return? Explain.
Question 9
Essay
Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or notthe argument is valid. -Affirming the conclusion
Question 10
Essay
The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -The House of Representatives voted to override the veto of the communications bill.
Question 11
Essay
Describe how the sentence is ambiguous. -Our goal is to increase voter participation from 25% of the eligible voters, or 4000, to 50%.
Question 12
Essay
Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or notthe argument is valid. -Denying the conclusion
Question 13
Essay
A set of propositions is listed. Draw a Venn diagram that represents all the information in the propositions and use it(and no other assumptions)to answer the question. Explain your reasoning. -No dogs are cats. No gerbils are cats. All dogs have fleas. Some cats are thirsty. No thirsty creatures have fleas. Question: Could a gerbil be a dog?
Question 14
Essay
Decide whether the statement makes sense. Explain your reasoning. -Javier takes a shower to save time. When he gets into the shower at 6:50, he is out by 7:10. When he used to take baths, it would take him a quarter of an hour.
Question 15
Essay
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, oroverlapping sets. -even numbers and odd numbers
Question 16
Essay
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,and draw a Venn diagram for the proposition. Label all regions of the diagram clearly. -All horses are animals.