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This 4 page Class Notes was uploaded by Green Lesch on Monday September 28, 2015. The Class Notes belongs to MATH924 at Temple University taught by JohnPaulos in Fall. Since its upload, it has received 39 views. For similar materials see /class/215466/math924-temple-university in Mathematics (M) at Temple University.
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Date Created: 09/28/15
Paulos Math 0924 Test Show All Work Fall 2010 1a Are there more people on Earth or teeth of Americans About how many of each are there 300000000 Americans x about 30 is about 9000000000 but population of Earth is only about 6700000000 1b lf ground lamb costs 475 per pound here in the US what does it cost in Euros per gram in Greece A kilogram 1000 grams is 22 pounds and a Euro is 133 dollars 475pound x 22 pounds1 kilogram x 1 kilogram1000 grams x 1 Euro133 00786 Eurosgram 2a At a Philadelphia crime scene police find evidence of the perpetrator39s birthday not the year and his two initials JS for Joan Smith WH for Waldo Harrison for example Assume he or she is a resident of Philadelphia Is this enough to conclusively identify him or her Explain 26x26x365 about 247000 but there are 14 million Philadelphians so a birthday and initials do not even theoretically uniquely identify the perpetrator 2bThere are 7801546 Americans with Alzheimer39s disease Respond Much too precise Hard enough to tell if an individuals has Alzheimer39s much less come up with such a precise number 3a Assume most of the class does very well on this test but some students get close to zero What would be higher the mean score on the quiz or the median score Explain The students who score close to zero would bring down the average a lot the median much less so the median would be larger 3b Explain why almost everyone has a greater than the average number of fingers Some people have fewer than 10 fingers which makes the average number of fingers a tiny bit under 10 Since most people have 10 fingers most people have a greater than average number of fingers 4a A headline quotExperts Fear Housing Costs in US Rents and Mortgages To Top 2 billion in 2010quot Respond There are about 300000000 people in this country so there are roughly 100000000 households that either make mortgage payments or pay rent Since 2000000000100000000 20 that means people pay an absurdly small amount for a year39s rent or mortgage 4bApproximately how many seconds have you been alive Roughly 18 years x 365daysyear x 24 hoursday x 60 minuteshour x 60 secondsminute which equals almost 600000000 seconds 5a The product of 22 whole numbers is 1 Show that their sum can39t be 0 Since the numbers must be whole numbers they must all be 1 or 1 If there were a 6 you would need a 16 to balance it out but 16 is not a whole number In order for the sum to be zero there would have to be the same number of 139s and 139s in the product but that would mean there are 11 139s and 11 139s which would make the product 1 5b In a drawer there are 6 red 6 blue and 6 white socks You reach in and pick socks at random What is the smallest number you need to pick so that you can be certain of getting a matching pair What is the smallest number you need to be certain of getting a red pair You would certainly get a matching pair if you picked 4 socks and would certainly get a red pair if you picked 14 socks 6a Find a set of 11 numbers in which the mode is bigger than the median which in turn is bigger than the mean 12345100101101101101101 Mode 101 median 100 mean 62011 564 6b Each of two sets of numbers has the same mean of 62 If the spread of the first set is larger than the spread of the second set the 83rd percentile of which set of numbers is probably larger Since tha variability of the first set is greater the number in the 83rd percentile of the first set is likely to be larger than the number in the 83rd percentile of the second set 7a About how many people die of heart disease in Philadelphia proper every day About 750000 Americans dies of heart disease annually Since the population of Philadelphia is about 1200 the population of the country the answer is 750000year x 1200 x 1year365 days or about 10day 7b Comment on a news story claiming that because of the stress of the weekend almost 30 of heart attack victims die between 9PM Friday night and 9PM Sunday night It39s bogus conclusion The 48 hours indicated constitute 27 or 28 of a week 8a What is the fivenumber summary of the following set of numbers 6 7 7 8 9 10 11 13 17 18 22 22 28 29 36 39 42 50 59 61 62 63 67 78 81 82 96 6 7 7 8 9 10 11 13 17 182222 2829 36 39 42 50 5961 62 63 67 78 81 82 96 8b Draw a box plot for it The numbers above arrayed along a number line with the interquartile range in a box 9a You wish to rank 5 restaurants best 2nd best ln how many ways could you do this 5x4x3x2x1 5 120 9b To open a padlock you rotate the dial and go to one of the 40 possible numbers then rotate it in the other direction one full revolution and stop at a number different from the first and then you switch directions again and rotate to any number different from the previous two How many possibilities are there for a padlock code 40X39X38 59280 10a What is the anchoring effect and how might it be used by sales people It39s the tendency people have to be anchored to whatever number is first presented to them whether it has connection to reality or not A sales person can use it by introducing prospective customers to a very high priced version of whatever they were in the market for and thus make more less over priced versions seem cheap 10b Some economists estimate the monetary cost of the Iraq War is 3 triions How much is this per American 3000000000000300000000 10000