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Mathematics
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Using and Understanding Mathematics
Quiz 1: Thinking Critically
Path 4
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Question 81
Essay
Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: Baseball, football, basketball, golf, hockey, and tennis are all played with a ball. Conclusion: All sports are played with a ball.
Question 82
Essay
Draw a Venn diagram to represent the given information. -In a freshman class of 50 students, 30 students are taking math, 24 students are taking history, and 15 students are taking both math and history.
Question 83
Essay
Decide whether the statement makes sense. Explain your reasoning. -The answer to the question is a whole number but it is not an integer.
Question 84
Essay
Decide whether the statement makes sense. Explain your reasoning. -Your argument is valid, but it isn't sound.
Question 85
True/False
The statement connects two individual propositions with the word or. State whether the entire statement is true or false,and explain why. -There are 25 letters in the English alphabet or the letter c is a vowel.
Question 86
Essay
Provide an appropriate response. -Consider the following clause in a rental lease: "Lessee may terminate this lease at the end of the initial term by providing Lessor with at least sixty (60)days prior written notice, to commence upon the first day of the month following the month in which said notice is delivered or immediately if delivered on the first day of any month." If the initial term of the lease ends on March 31 and the Lessee provides the Lessor written notice on April 1, as of what date can the lease be terminated? What if he provides notice on April 2?
Question 87
Essay
Describe how the sentence is ambiguous. -There was a 15% decrease in donations to the homeless shelter between 1996 and 2000, a year in which $50,000 was collected.
Question 88
Essay
Describe how the sentence is ambiguous. -Two stores with more than 1000 pieces of merchandise will have grand openings at the mall this weekend.
Question 89
Essay
Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If aregion has no members, state that fact clearly. -salty things, sweet things, tangy things
Question 90
Essay
A reason for a particular political position is given. There may be other issues that are left unstated. Identify at least oneunstated issue that could be the "real issue" of concern. -Smoking should be banned in all public places. Second-hand smoke is harmful, causing lung cancer and heart disease.
Question 91
Essay
Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If aregion has no members, state that fact clearly. -teachers, bowlers, and men
Question 92
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 dogs are adorable.
Question 93
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. -Movies are entertaining.