Exam 3: Numbers in the Real World

Use scientific notation to perform the following operations. Leave your answer in scientific notation. - $\left( 3.3 \times 10 ^ { 2 } \right) + \left( 2.4 \times 10 ^ { 1 } \right)$

Answer the question. -Suppose you are constructing a scale model solar system using a scale ratio of 1 to 10 billion. In your scale model what will be the diameter of Jupiter (in meters)? The diameter of Jupiter is 143,000 km.

Answer the question. -Of those who applied to the college, 50% were accepted and of those accepted, 10% enrolled. What percentage of those who applied, enrolled?

Use scientific notation to perform the following operations. Leave your answer in scientific notation. - $\left( 20 \times 10 ^ { 5 } \right) \div \left( 4 \times 10 ^ { 6 } \right)$

Answer the question. -Suppose you are constructing a scale model solar system using a scale ratio of 1 to 100 billion. In your scale model what will be the distance from Neptune to the Sun (in meters)? The distance from Neptune to the Sun is 4497 million km.

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated. -963 people voted for the incumbent candidate out of 1778 voters. What percent voted for the incumbent?

Solve the problem. -Midtown Antiques collects 2% sales tax on all sales. If total sales including tax are $1591.62, find the portion that is the tax amount.

Answer the question. -The distance from the Earth to the Sun is about $1.5 \times 10 ^ { 8 } \mathrm {~km}$ , while the distance from the Earth to the moon is about $3.8 \times 10 ^ { 5 } \mathrm {~km}$ . If a scale model of the solar system is constructed so that the distance from the Earth to the Sun is 100 meters, what will be the distance from the Earth to the moon?

Restate the fact as indicated. -Worldwide there are approximately 132 million births per year. Express this quantity in births per second.

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated. -Tech Support spent $18,450 this year on utility costs alone. If total sales were $268,200, what percent of total sales was spent on utility costs? Round to the nearest tenth of a percent.

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 -A book cost $12 in 1987. What was its price in 1990 dollars?

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. -Last year my heart beat $4 \times 10 ^ { 7 }$ times.

Answer the question. -In 2000, the balance on Martin's credit card increased by 50%. In 2001, the balance increased by 10%. How does the balance at the end of 2001 compare to the balance at the beginning of 2000?

Use scientific notation to solve the problem. -How many liters of oil are needed to supply the electrical energy needs of an average U.S. home for 7 weeks? Assume that the energy released by burning one liter of oil is $1.2 \times 10 ^ { 7 }$ joules and that the Electrical energy used daily in an average U.S. home is $5 \times 10 ^ { 7 }$ joules. Round your answer to the Nearest tenth of a liter.

Write as a percent. - $\frac { 6 } { 7 }$

For the given measurement, briefly describe any likely sources of random error and any likely sources of systematicerror. -The average income of 100 people is calculated by using the incomes which they reported on credit card applications. These incomes are entered onto a computer and a statistical package is used to calculate the average income.

Give an appropriate response. -The following table shows the deaths due to the same disease in two cities. Compute the death rates in each city for those with health insurance, those without health insurance, and all residents. Explain the apparent inconsistency in these results.

True or false? -If somebody tells you that their exam score was 70%, up 80% from the last exam, you would conclude that they must be lying or bad at math, because that is impossible.

Solve the problem. -The appliance store where the Scott family shops offers a 5% discount for paying cash. The Scott family received a discount of $25. What was their total bill before the discount?

Write the number in ordinary notation. - $9 \times 10 ^ { - 6 }$