Question 1

Answer the question.
-Suppose that of the total amount collected in taxes by the U.S. government, 25% of it comes from families with incomes greater than $200,000.
If taxes are increased by 5% across the board, which of the following statements will be true?

Accepted Answer

A)  5% of the additional revenue will come from each income group.
B)  The total amount collected from families with incomes greater than $200,000 will increase by 25%.
C)  A family with an income greater than $200,000 will have to pay 25% more in taxes.
D)  25% of the additional revenue collected by the government will come from families with incomes greater than $200,000. D

Question 2

Use the appropriate rounding rule to answer the question with the correct precision or correct number of significantdigits.
-The average amount spent on food last year by the residents of your town was $3300 per person. The population of your town is 41,790. What was the total amount spent on food last year by the
Residents of your town?

Accepted Answer

A)  $137,900,000
B)  $140,000,000
C)  $138,000,000
D)  $137,907,000 B

Question 3

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

Accepted Answer

A)  8314 people have enrolled for the college for next year.
B)  8000 people have enrolled for the college for next year. [Number given to the nearest thousand]
C)  8300 people have enrolled for the college for next year. [Number given to the nearest hundred]
D)  8314.1 people have enrolled for the college for next year. A

Question 4

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

Accepted Answer

A)  The population of sperm whales worldwide is 817,213
B)  The population of sperm whales worldwide is 800,000.
C)  The population of sperm whales worldwide is 817,210.
D)  The population of sperm whales worldwide is 817,200.

Question 5

Answer the question.
-In Slackville, the unemployment rate was 20% last year and this year it is 24%. Which of the following statements is correct?

Accepted Answer

A)  In absolute terms, the unemployment rate this year is 4 percentage points higher than last year and in relative terms it is 16.7% higher.
B)  In absolute terms, the unemployment rate this year is 20 percentage points higher than last year and in relative terms it is 4% higher.
C)  In absolute terms, the unemployment rate this year is 4 percentage points higher than last year and in relative terms it is 20% higher.
D)  In absolute terms, the unemployment rate this year is 4 percentage points higher than last year and in relative terms it is 4% higher.

Question 6

Solve the problem.
-The table below shows the number of people testing positive for a certain disease amongst those who do have the disease and amongst those who don't. Use the table to answer the question. $$\begin{array} { l | r c r } 
& \begin{array} { c } 
\text { Test } \
\text { positive }
\end{array} & \begin{array} { c } 
\text { Test } \
\text { negative }
\end{array} & \text { Total } \
\hline \text { Disease } & 112 & 12 & 124 \
\text { No disease } & 1001 & 8875 & 9876 \
\text { Total } & 1113 & 8887 & 10,000
\end{array}$$ What percentage of those that tested negative actually have the disease?

Accepted Answer

A)  0.1%
B)  9.7%
C)  11.1%
D)  99.9%

Question 7

Round to the indicated place value.
-Round to the nearest ten: 62.3

Accepted Answer

A)  60
B)  59
C)  61

Question 8

Use scientific notation to solve the problem.
-The national debt of a small country is $6,390,000,000 and the population is 2,256,000. What is the amount of debt per person?

Accepted Answer

A)  $28.30
B)  $2.83 × 103
C)  $2.83
D)  $2.83 × 106

Question 9

Answer the question.
-Suppose you are constructing a scale model solar system using a scale ratio of 1 to 200 billion. In your scale model what will be the distance from Saturn to the Sun (in meters)? The distance from
Saturn to the Sun is 1427 million km.

Accepted Answer

A)  7.135 m
B)  0.7135 m
C)  0.007135 m
D)  14.27 m

Question 10

Use scientific notation to perform the following operations. Leave your answer in scientific notation.
-$\left( 2 \times 10 ^ { 7 } \right) \times \left( 6 \times 10 ^ { - 4 } \right)$

Accepted Answer

A)    1.2×1021.2 	imes 10 ^ { 2 }1.2×102 
B)    1.2×10−21.2 	imes 10 ^ { - 2 }1.2×10−2 
C)    1.2×1041.2 	imes 10 ^ { 4 }1.2×104 
D)    1.2×1031.2 	imes 10 ^ { 3 }1.2×103

Question 11

Restate the fact as indicated.
-The national debt was about $6.9 trillion at the end of 2003. Express this quantity as the number of dollars per person. Assume a U.S. population of 280 million.

Accepted Answer

A)  About $246.43 per person
B)  About $24,642.86 per person
C)  About $246,428.57 per person
D)  About $2464.29 per person

Question 12

Round to the indicated place value.
-Round to the nearest tenth: 1.42

Accepted Answer

A)  1.5
B)  1.3
C)  1.4
D)  1

Question 13

Carry out the indicated operation and give your answer with the specified number of significant digits.
-$984 \div 0.00869 ; 3$ significant digits

Accepted Answer

A)   113,234
B)   113,200
C)    113,233.602113,233.602113,233.602 
D)   113,000

Question 14

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. $$\begin{array} { l | c c c } 
& \begin{array} { c } 
\text { Test finds } \
\text { student lying }
\end{array} & \begin{array} { c } 
\text { Test finds } \
\text { student truthful }
\end{array} & \text { Total } \
\hline \text { Has cheated } & 84 & 13 & 97 \
\text { Has not cheated } & 198 & 1705 & 1903 \
\text { Total } & 282 & 1718 & 2000
\end{array}$$ What percentage of those that were lying were found to be truthful?

Accepted Answer

A)  29.8%
B)  0.8%
C)  13.4%
D)  10.4%

Question 15

Round to the indicated place value.
-Round to the nearest thousandth: 3.83366

Accepted Answer

A)  3.8337
B)  3.835
C)  3.833
D)  3.834

Question 16

Write as a percent.
-$27.317$

Accepted Answer

A)    2731.7%2731.7 \%2731.7% 
B)    2.7317%2.7317 \%2.7317% 
C)    27.317%27.317 \%27.317% 
D)    0.27317%0.27317 \%0.27317%

Question 17

Find the absolute and relative errors.
-It took you one hour and 8 minutes to drive home, you estimated the time to be one hour and 23 minutes.

Accepted Answer

A)   absolute error:  −15- 15−15  minutes relative error:  −22.1%- 22.1 \%−22.1%  
B)   absolute error: 15 minutesrelative error:  18.1%18.1 \%18.1% 
C)   absolute error: 15 minutesrelative error:  2.2%2.2 \%2.2% 
D)   absolute error: 15 minutes  relative error:  22.1%22.1 \%22.1%

Question 18

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 92% 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 can you say about
Their chance of having the disease?

Accepted Answer

A)  It is about 50%
B)  It is 95%
C)  It is quite low
D)  It is very high

Question 19

Determine ratio of A to B. Round as indicated.
-$A = 260$ and $B = 360$ (Do not round.)

Accepted Answer

A)    136\frac { 1 } { 36 }361​ 
B)    1813\frac { 18 } { 13 }1318​ 
C)    126\frac { 1 } { 26 }261​ 
D)    1318\frac { 13 } { 18 }1813​

Question 20

Give an appropriate response.
-The tables below show the results of a study examining the incidence of breast cancer
among women who exercise regularly and those who do not.
The 425 women in the study were split into two age groups, those under 40 and those 40
or older.  For each age group, determine the percentage of women having breast cancer among
those exercise regularly and among those who do not exercise regularly. If the two age
groups are combined, what percentage have breast cancer among those who exercise
regularly and among those who do not exercise regularly?
Explain the apparent inconsistency in these results, and how the design of the study
brought about the inconsistency.

Accepted Answer

The answer of Give an appropriate response.
-The tables below show...

Exam 3: Numbers in the Real World

Answer the question. -Suppose that of the total amount collected in taxes by the U.S. government, 25% of it comes from families with incomes greater than $200,000. If taxes are increased by 5% across the board, which of the following statements will be true?

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

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

Answer the question. -In Slackville, the unemployment rate was 20% last year and this year it is 24%. Which of the following statements is correct?

Round to the indicated place value. -Round to the nearest ten: 62.3

Use scientific notation to solve the problem. -The national debt of a small country is $6,390,000,000 and the population is 2,256,000. What is the amount of debt per person?

Answer the question. -Suppose you are constructing a scale model solar system using a scale ratio of 1 to 200 billion. In your scale model what will be the distance from Saturn to the Sun (in meters) ? The distance from Saturn to the Sun is 1427 million km.

Use scientific notation to perform the following operations. Leave your answer in scientific notation. - $\left( 2 \times 10 ^ { 7 } \right) \times \left( 6 \times 10 ^ { - 4 } \right)$

Restate the fact as indicated. -The national debt was about $6.9 trillion at the end of 2003. Express this quantity as the number of dollars per person. Assume a U.S. population of 280 million.

Round to the indicated place value. -Round to the nearest tenth: 1.42

Carry out the indicated operation and give your answer with the specified number of significant digits. - $984 \div 0.00869 ; 3$ significant digits

Round to the indicated place value. -Round to the nearest thousandth: 3.83366

Write as a percent. - $27.317$

Find the absolute and relative errors. -It took you one hour and 8 minutes to drive home, you estimated the time to be one hour and 23 minutes.

Determine ratio of A to B. Round as indicated. - $A = 260$ and $B = 360$ (Do not round.)

Exam 3: Numbers in the Real World

Answer the question. -Suppose that of the total amount collected in taxes by the U.S. government, 25% of it comes from families with incomes greater than $200,000. If taxes are increased by 5% across the board, which of the following statements will be true?

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

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

Answer the question. -In Slackville, the unemployment rate was 20% last year and this year it is 24%. Which of the following statements is correct?

Round to the indicated place value. -Round to the nearest ten: 62.3

Use scientific notation to solve the problem. -The national debt of a small country is $6,390,000,000 and the population is 2,256,000. What is the amount of debt per person?

Answer the question. -Suppose you are constructing a scale model solar system using a scale ratio of 1 to 200 billion. In your scale model what will be the distance from Saturn to the Sun (in meters) ? The distance from Saturn to the Sun is 1427 million km.

Use scientific notation to perform the following operations. Leave your answer in scientific notation. - (2×107) ×(6×10−4) \left( 2 \times 10 ^ { 7 } \right) \times \left( 6 \times 10 ^ { - 4 } \right) (2×107) ×(6×10−4)

Restate the fact as indicated. -The national debt was about $6.9 trillion at the end of 2003. Express this quantity as the number of dollars per person. Assume a U.S. population of 280 million.

Round to the indicated place value. -Round to the nearest tenth: 1.42

Carry out the indicated operation and give your answer with the specified number of significant digits. - 984÷0.00869;3984 \div 0.00869 ; 3984÷0.00869;3 significant digits

Round to the indicated place value. -Round to the nearest thousandth: 3.83366

Write as a percent. - 27.31727.31727.317

Find the absolute and relative errors. -It took you one hour and 8 minutes to drive home, you estimated the time to be one hour and 23 minutes.

Determine ratio of A to B. Round as indicated. - A=260A = 260A=260 and B=360B = 360B=360 (Do not round.)

Use scientific notation to perform the following operations. Leave your answer in scientific notation. - $\left( 2 \times 10 ^ { 7 } \right) \times \left( 6 \times 10 ^ { - 4 } \right)$

Carry out the indicated operation and give your answer with the specified number of significant digits. - $984 \div 0.00869 ; 3$ significant digits

Write as a percent. - $27.317$

Determine ratio of A to B. Round as indicated. - $A = 260$ and $B = 360$ (Do not round.)