Exam 3: Numbers in the Real World

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Solve the problem. -Suppose it cost $4.16 to fill a gas tank in 1965. How much would it cost to fill the same tank in 1975? Use the table below. YEAR|GASOLINE PRICE (cents per gallon) 1955 29.1 1965 31.2 1975 56.7 1985 119.6 1995 120.5 2000 155.0 2010 284.0

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Solve the problem. -John is 6 times as heavy as his dog. Determine which of the statement's below is true.

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Solve the problem. -Computer sales for a certain company have reached $49 million per year and are growing at 12% 211) annually. At this growth rate, what will the amount of sales be next year? Round to the nearest Tenth of a million.

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Determine whether the source of error represents random or systematic error. -A study is conducted to assess the effectiveness of vaccinations. If a person has been vaccinated against the measles, and the doctor knows this, the doctor is less likely to diagnose an illness as Measles.

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Solve the problem. -The table below shows the result of a polygraph test conducted on 2000 college students. Students were asked whether they had ever cheated on a test. All of them denied having cheated. Use the Table to answer the question. Test finds student lying Test finds student Has cheated 85 11 Thuthful Has not cheated 228 1676 1904 Total 313 1687 2000 What percentage of those that were telling the truth were found to be lying?

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Write the number in scientific notation. -The population of a small country is 5,729,0005,729,000 .

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Determine by what factor the numbers differ. In other words, determine how many times larger the first number is thanthe second. - 1012,103610 ^ { 12 } , 10 ^ { 36 }

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Determine ratio of A to B. Round as indicated. -A = 64.9 is the average number of points scored in a college basketball game. B = 49.5 is the average number of points scored in a high school basketball game. (Round to the nearest hundredth when Necessary.)

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Write the number in scientific notation. - 0.05×1060.05 \times 10 ^ { 6 }

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Write as a percent. -8

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Write as a percent. - 1271 \frac { 2 } { 7 }

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Use the appropriate rounding rule to answer the question with the correct precision or correct number of significantdigits. -You drive from your house to the store, a distance of 1.41 miles, then you drive another 45 miles to work. What is the total distance that you drive?

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Write the number in ordinary notation. - 8.7617×1058.7617 \times 10 ^ { 5 }

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Answer the question. -Which of the statements below suggests an appropriate level of precision?

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Determine which of the numbers below is a possible order of magnitude estimate of the quantity described. -The total number of breaths taken in his lifetime by a man who lives to be 80.

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Use scientific notation to perform the following operations. Leave your answer in scientific notation. - (5.5×1021)÷(1.1×1013)\left( 5.5 \times 10 ^ { 21 } \right) \div \left( 1.1 \times 10 ^ { - 13 } \right)

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Measurements are made at two different times. Find the absolute change and then find the percentage change. Roundanswers to the nearest tenth if necessary. -At a certain college, the percentage of male students decreased from 59%59 \% in 1970 to 49%49 \% this year.

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Write the number in ordinary notation. - 3.531×1053.531 \times 10 ^ { - 5 }

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Solve the problem. -Allison weighs 29% less than she did one year ago. Determine which of the statement's below is true.

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Use the Consumer Price Index below to answer the question. Average Annual Consumer Price Index (1982-1984 = 100) Year CPI Year CPI Year CPI 1986 109.6 1995 152.4 2004 188.9 1987 113.6 1996 156.9 2005 195.3 1988 118.3 1997 160.5 2006 201.6 1989 124.0 1998 163.0 2007 207.3 1990 130.7 1999 166.6 2008 215.3 1991 136.2 2000 172.2 2009 214.5 1992 140.3 2001 177.1 2010 218.1 1993 144.5 2002 179.9 2011 224.9 1994 148.2 2003 184.0 2012 229.6 -Which of the following is greater? Explain why this makes sense. The minimum wage for 1998 in actual dollars The minimum wage for 1998 in 1995 dollars The minimum wage for 1998 in 2000 dollars The minimum wage for 1998 in 1990 dollars

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