Exam 1 Review 1 1C Sets and Venn Diagrams 1 Which of the following categorical propositions is best illustrated by the Venn Diagram Flowers Roses a No cid 29 owers are roses b Some roses are cid 29 owers c All cid 29 owers are roses d Some roses are not cid 29 owers e All roses are cid 29 owers 2 A local pet shelter has 22 adult cats and dogs up for adoption All of the cats and dogs are either young adults between 1 and 3 yrs old or senior adults older than 10 Complete the following two way table Young Adults Senior Adults Total 7 1 10 Cats Dogs Total 14 Now create two di cid 27 erent Venn Diagrams that both properly illustrate the results from the table 3 Which of the following is a true statement a The only categorical proposition that can be represented by a Venn Diagram is of the form All S are P b Two sets which are disjoint have exactly one element in common c Two sets are di cid 27 erent sets if they have the same elements written in a di cid 27 erent order d The set with no elements in it is called the empty set e The categorical proposition No S are P can be represented by an overlapping Venn 4 Which of the following represents the set of all odd numbers greater than 0 but less than Diagram 30 a 1 3 5 b 0 1 2 29 30 c 1 3 5 27 29 d 15 17 19 29 e 25 27 29 2 1D Analyzing Arguments 1 Consider the following argument P All snakes are reptiles P Pythons X are not snakes C Pythons are not reptiles a Is the argument valid Clearly write YES or NO and draw a Venn Diagram to support your answer 2 b Is the argument sound Clearly write YES or NO and explain your answer 2 Evaluate the following argument Assume that all of the premises are TRUE P Zucchini is green and it is a vegetable P Cabbage is green and it is a vegetable C A green grape is a vegetable a The argument is a weak inductive argument b The argument is valid but not sound c The argument is sound but not valid d The argument is both valid and sound e The argument is neither valid nor sound 3 Which of the following arguments best cid 28 ts the Venn Diagram below HS students in SC Attended Clemson a P Some high school students in SC go to Clemson P Landon went to high school in SC C Landon went to Clemson b P Some high school students in SC go to Clemson P Landon went to Clemson C Landon may or may not have gone to school in SC c P Some high school students in SC go to Clemson P Landon went to Clemson C Landon went to high school in SC d P Some high school students in SC go to Clemson P Landon did not go to high school in SC C Landon did not go to Clemson X 3 4 Which of the following arguments MUST have a true conclusion a Sound deductive argument b Valid deductive argument c Valid inductive argument d Strong inductive argument 3 2A 2B Unit Analysis e There is not enough information to answer this question 1 You ve decided to plant a garden for fresh fruits and veggies in a plot that is 21 feet long 27 feet wide and 2 feet deep You plant the seeds and decide that the seeds need some fertilizer The gardening store only sells fertilizer in cubic yards One bag of fertilizer covers 27 cubic yards How many bags should you buy for your garden Show all work and round your answer UP to the nearest whole number RECALL Volume length width depth 2 The U S per capita consumption of beef decreased from 67 8 pounds per person in the year 2000 to 55 4 pounds per person in 2016 Calculate the relative change in per capita beef consumption Round your answer to one decimal place if necessary a 18 3 b 12 4 pounds c 12 4 pounds d 18 3 e 20 4 3 You can buy a single candy bar for 0 99 at the register You can buy a pack of 4 candy bars for 3 20 euros or you also have the option of buying 10 candy bars for 15 70 Canadian dollars Which is the best deal that is the cheapest price per candy bar a The 4 pack of candy bars is the best deal b The 10 pack of candy bars is the best deal c The single candy bar is the best deal d There is not enough information to answer this question 4 Jack is taking a trip to visit his friend Wanda who lives 250 kilometers away His car gets on average 23 miles per gallon If gas costs 2 90 per liter how much will it cost him to make the trip 5 4 3A Percentages 1 Suppose that Carlos bought a house for 180 000 and Regina bought a house for 200 000 in the same year After 3 years Carlos house has increased in value to 280 000 and Regina s to 240 000 Round answers to two decimal places when applicable a Did Carlos or Regina s house increase more in terms of relative change Support your answer b Carlos new house value is what percent of Regina s new house value c Regina s new house value is what percent of Carlos new house value d Carlos new house value is what percent more than Regina s new house value e Regina s new house value is what percent less than Carlos new house value 6 2 Mary has 82 fewer books than Dan and 20 more books than Elise If Elise has 30 books how many books do Mary and Dan have 3 The annual interest rate in James account increased from 1 8 to 2 2 What is the relative change in the interest rate a 22 22 b 18 18 c 22 22 points d 18 18 points e 0 4 points 4 You go out to eat and pay a total of 50 If you left an 18 tip what was the original cost of the bill Ignore taxes 7 5 3BC Dealing with Uncertainty Note For addition and subtraction of measured numbers round to the same dec imal place as the LEAST PRECISE measurement For multiplication and divi sion round to the same number of signi cid 28 cant cid 28 gures as the measurement with the FEWEST SIG FIGS 1 Reggie is a softball coach and tries to guess the weight of the bucket of softballs to impress the team In the bucket there are 14 softballs so Reggie guesses that the bucket weighs 125 ounces One of the players cid 28 nds online that the empty bucket weighs 31 116 ounces and each softball weighs 6 5 ounces a …