Exam 3: Numbers in the Real World

Answer the question. -Any test for a disease has a certain rate of false positives (percentage of those who don't have the disease who test positive)and a certain rate of false negatives (percentage of those who do have the Disease who test negative). You would like to determine the chance that a person has the disease given that they have tested Positive for the disease. Which of the following will you need to know?

Use the appropriate rounding rule to answer the question with the correct precision or correct number of significantdigits. -Find your speed by dividing the distance you traveled, 259 kilometers, by the time, 2.1 hours.

Write the number in scientific notation. -14,000,000

Determine whether the statement makes sense. If the statement is possible then it makes sense. If it is clearly impossible,it does not make sense. -In her lifetime my grandmother saw about $6 \times 10 ^ { 7 }$ hours of commercials on television.

Write as a percent. -0.33

Round to the indicated place value. -Round to the nearest whole number: $715.854$

Write the number in ordinary notation. - $7.36 \times 10 ^ { - 4 }$

Solve the problem. -In a local election, 36,700 people voted. This was an increase of 5% over the last election. How many people voted in the last election?

True or false? -If my salary increases by 20% each year, in 5 years, I will earn exactly twice as much as I do now.

For the given measurement, briefly describe any likely sources of random error and any likely sources of systematicerror. -Round to the nearest hundred: 482.106

Determine whether the source of error represents random or systematic error. -Anne counts the number of cars passing an intersection in a 15-minute period. Sometimes she makes errors in counting.

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 -What was the purchasing power of $1 in 1987 in terms of 1996 dollars?

Answer the question. -If your salary is 25% higher than mine, then how does my salary compare to your salary?

State the number of significant digits and the implied precision of the given number. -0.00067 meter

Answer the question. -Find the scale ratio for a map if 1 centimeter on the map represents 100 kilometers on the ground.

Solve the problem. -Find the gasoline price index for 1965 using the 2000 price as the reference value. 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

Determine whether the statement makes sense. If the statement is possible then it makes sense. If it is clearly impossible,it does not make sense. -Yesterday the total number of gallons of gasoline used by people driving cars in the United States was $7 \times 10 ^ { 10 }$

Carry out the indicated operation and give your answer with the specified number of significant digits. - $\left( 7.4 \times 10 ^ { - 7 } \right) \div \left( 7.867 \times 10 ^ { - 2 } \right) ; 3$ significant digits

Use the appropriate rounding rule to answer the question with the correct precision or correct number of significantdigits. -At the beginning of last year, the population of your city was 161,000. By the end of the year it had increased by 2481 people. What was the population at the end of the year?

Determine which of the numbers below is a possible order of magnitude estimate of the quantity described. -The total number of cups of coffee drunk last year by Europeans.