Exam 3: Numbers in the Real World

Answer the question. -Your true height is $70.4$ inches. A tape measure that can be read to the nearest tenth of an inch gives your height as $70.5$ inches. A second tape measure which can be read to the nearest eighth of an inch gives your height as $70 \frac { 3 } { 8 }$ inches. Which of these two measurement is more precise? Which is more accurate?

Use scientific notation to solve the problem. -Assume that the volume of the earth is $5 \times 1014$ cubic meters and the volume of a bacterium is $2.5 \times$ $10 - 16$ cubic meters. If the earth could be filled with bacteria, how many would it contain?

Round to the indicated place value. -Round to the nearest tenth: 0.5715

Write the percentage as a fraction or decimal, as indicated. -Write as a decimal. $431 \%$

Determine which of the numbers below is a possible order of magnitude estimate of the quantity described. -The thickness of a compact disc.

For the given measurement, briefly describe any likely sources of random error and any likely sources of systematicerror. -You use a tape measure to measure people's heights.

Solve for the percentage in the problem. Round to the nearest tenth of a percent. -______ $\text { \% of } 170 \text { cartons is } 10.1 \text { cartons. }$

Write the number in ordinary notation. - $3.0223 \times 10 ^ { - 7 }$

Solve the problem. Round your answer to the nearest tenth unless otherwise indicated. -Maria's company has 903 employees, Ruth's company has 751 employees. 903 is what percent of 751 ?

Answer the question. -Find the scale ratio for a map if 1 inch on the map represents 10 miles on the ground.

Answer the question. -The average annual precipitation in Tewinville is 70 inches. In 2000, a particularly wet year, the precipitation was 140 inches. Which of the following statements are correct? More than one Statement may be correct. A: In 2000, the precipitation was 200% of normal. B: In 2000, the precipitation was 100% of normal. C: In 2000, the precipitation was 200% above normal. D: In 2000, the precipitation was 100% above normal.

Write the number in ordinary notation. - $5.4 \times 10 ^ { 5 }$

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 -Suppose you needed $43,000 to maintain a particular standard of living in 1986. How much would you have needed in 1994 to maintain the same standard of living?

Use scientific notation to perform the following operations. Leave your answer in scientific notation. - $\left( 8 \times 10 ^ { 16 } \right) \div \left( 1.6 \times 10 ^ { 8 } \right)$

Solve for the percentage in the problem. Round to the nearest tenth of a percent. -3.5 cases is % of 19.6 cases.

Answer the question. -Suppose that a test for a disease correctly gives positive results for 95% of those having the disease and correctly gives negative results for 90% of those who don't have the disease. Suppose also that The incidence of the disease is 1%. If a person tests positive for the disease, what is the chance that They have the disease? Find the exact percentage.

Determine by what factor the numbers differ. In other words, determine how many times larger the first number is thanthe second. -One million, one millionth

True or false? -In Fremont in 1990, the mayor's approval rating was 80%. In 1998, his approval rating was only 64%. True or false? in absolute terms his approval rating decreased by 16 percentage points whereas in relative terms, it decreased by 20%.

Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assumethat the first quantity is the compared value and the second quantity is the reference value. Round answers to the nearesttenth if necessary. -In the college there are 1400 male students and 1050 female students.

Solve the problem. -The regular selling price of an item is $221. For a special year-end sale the price is at a markdown of 20%. Find the discount sale price.