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Mathematics
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Using and Understanding Mathematics
Quiz 1: Thinking Critically
Path 4
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Question 21
Essay
Analyze the situation and explain how you would make a decision. -You are leasing a summer home for twelve weeks and are required to cut the grass every week. You can buy a new power mower for $340 and sell it at the end of the summer for $100. You can rent a power mower for $20 per day. The neighbor's son will charge you $10 per hour for 2 hours and provide his own equipment. Which is the best option?
Question 22
Essay
Provide an appropriate response. -Consider the following ballot initiative: "Shall there be an amendment to the state constitution to prohibit the state legislature from adopting any law which inhibits the freedom of religious expression?" Explain the meaning of a "no" vote.
Question 23
Essay
Decide whether the statement makes sense. Explain your reasoning. -Wayne's bank charges a $1 service charge for every transaction. To save money, he withdraws $100 cash every other week instead of withdrawing $50 every week.
Question 24
Essay
Decide whether the statement makes sense. Explain your reasoning. -I did not convince my friend that I was right, so I must not have argued logically.
Question 25
Essay
Decide whether the statement makes sense. Explain your reasoning. -I know more of the names of the common fallacies in arguments than my father, so I can recognize fallacies better than he can.
Question 26
True/False
The statement connects two individual propositions with the word and. State whether the entire statement is true or false,and explain why. -
4
+
3
=
7
 andÂ
9
×
2
=
27
4 + 3 = 7 \text { and } 9 \times 2 = 27
4
+
3
=
7
 andÂ
9
×
2
=
27
Question 27
Essay
Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise:
8
+
13
=
21
8 + 13 = 21
8
+
13
=
21
Premise:
16
+
9
=
25
16 + 9 = 25
16
+
9
=
25
Premise:
32
+
31
=
63
32 + 31 = 63
32
+
31
=
63
Conclusion: Whenever we add an even number and an odd number, the result is an odd number.
Question 28
Essay
Analyze the situation and explain how you would make a decision. -The costs per day of driving to work are $5 for gas, $10 for parking, and $1 for wear-and-tear on the car. Taking the train to work costs $6.50 each way, plus $1.50 per day to park at the train station. Should you drive or take the train?
Question 29
Essay
Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: Monday is one of the days of the week. Premise: Thursday is one of the days of the week. Premise: Saturday is one of the days of the week. Conclusion: All the days of the week have names that end in "day."
Question 30
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. -Some singers are not children.