# U of U MATH 1030 - MATH 1030 Midterm 1 (7 pages)

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**View the full content.**## MATH 1030 Midterm 1

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## MATH 1030 Midterm 1

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- Pages:
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- School:
- University of Utah
- Course:
- Math 1030 - Intro Quant Reasoning

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Midterm 1 Units and Real World Numbers Math 1030 Dylan Zwick s Class Fall 2007 Name Conversion Factors 1 year 365 days 1 day 24 hours 1 hour 60 minutes 1 minute 60 seconds 1 dram 3 scruples 1 scruple 20 grains 1 grain 0 0648 grams 1 kilogram 2 2046 pounds 1 dollar 115 367 yen Constants Diameter of Carbon Atom 1 10 10 meters Earth Sun Distance 1 49578 1011 meters Mass of Carbon 12 000 grams per mole 1 mole 6 022 1023 atoms 1 1 Unit Conversions 10 points a How many minutes are there in two years 2 points b How many drams are in a kilogram 3 points c How many carbon atoms laid end to end would it take to get from the Earth to the Sun And how much would all these atoms weight 5 points 2 2 Compound Unit Problem 10 points a If you have a 100 watt light bulb turned on for 10 hours per day how much energy in kilowatt hours does this use in a 30 day month 5 points b If electricity is 9 cents per kilowatt hour how much does the electricity cost to power the light bulb for that month 5 points 3 3 Currency Conversion Problem 5 points You plan to travel to Japan and you are practicing how to deal with different measurement systems Consider the following situation Suppose pears at a store in Japan are priced at 950 yen per kilogram What is the price of these pears in US dollars per pound 5 points 4 4 Percentages 10 points a The annual number of deaths from cardiovascular disease in the United States decreased from 1 008 000 in 1970 to 910 600 in 2004 Find the absolute change and the relative change as a percentage 4 points b A friend paid a total bill of 21 83 at a restaraunt and said she left an 18 tip What was the original total of the restaraunt bill before the tip 3 points c The federal reserve announces that it is changing interest rates from 4 to 4 25 By what relative percentage did interest rates incrase 3 points Example A change from 3 to 6 is a 100 relative increase 5 5 Scientific Notation 10 points Perform the following calculations and express your answers in scientific notation a 2 5 1012 1 7 1012 2 points b 3 1 105 2 7 102 2 points c 1 6 10 5 2 points 7 5 103 d 2 42 104 7 1 103 2 points e Express 6 590 000 000 in scientific notation 2 points 6 6 Uncertainty 5 points a Express the following solutions using the correct number of significant digits i 3 41in 2 6in 2 points ii 5 47892 102 2 points 4 57 10 1 b If a scale has its base weight off by 2 lbs so it weights everybody at 2 lbs greater than their actual weight is this an example of a random error or a systematic error 1 point 7

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