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\begin{document}

\noindent
{\Large 
Measurement Worksheet I \hfill Name:\underline{\hspace{2.8in}}\\ \\
MA~202 \\
Spring Semester 2004}
\vspace{.25in}

\noindent
{\bf WARNING:}  You must {\bf SHOW ALL OF YOUR WORK}.  You will receive 
NO CREDIT if you do not show your work.

\noindent
{\bf DUE:} {\bf ????} 
\begin{enumerate} 
\item Approximate the area of the figure shown below.
	\begin{center}
	\epsfysize 3in
	\epsffile{pictures/area1a.eps}
	\end{center}
\item Approximate the area of the figure shown below.
	\begin{center}
	\epsfysize 3in
	\epsffile{pictures/area2a.eps}
	\end{center}
\item Approximate the area of the figure shown below.
	\begin{center}
	\epsfysize 3in
	\epsffile{pictures/area3a.eps}
	\end{center}
\item Approximate the area of the figure shown below.
	\begin{center}
	\epsfysize 3in
	\epsffile{pictures/area1b.eps}
	\end{center}
%===========================================================================
\newpage
\item Approximate the area of the figure shown below.
	\begin{center}
	\epsfysize 3in
	\epsffile{pictures/area2b.eps}
	\end{center}
\item Approximate the area of the figure shown below.
	\begin{center}
	\epsfysize 3in
	\epsffile{pictures/area3b.eps}
	\end{center}
%===========================================================================
\newpage
\item Do problems 4, 6, 7, 9, 10, 19 and 20 from section 12.1 of your
textbook.
\item The following statements are incorrect.  Reword each statement so
that it is correct.
	\begin{enumerate}
	\item The triangles angles are $180^{\rm o}$.
	\item The angles around the center of the heptagon form a circle.
	\item $\angle 1 + \angle 2 = 180^{\rm o}$.
	\item The angles are complementary so they are $180^{\rm o}$.
	\item The mean is the middle value.
	\item The interior angles of the hexagon are $720^{\rm o}$
	\end{enumerate}
\item Use triangles to determine the sum of the measures of the interior
angles of a regular octagon. Be specific, not wordy. 
\item Use triangles to determine the measure of each central angle of a
regular octagon. Be specific, not wordy.
\item What is a transversal?  Be specific, not wordy.
\item What is a rhombus?  Be specific, not wordy.  
\item What is a rectangle?  Be specific, not wordy.  
\item What is a square?  Be specific, not wordy.  
	Is a square a rhombus?  Is a square a rectangle?
\item What is an angle?  Be specific, not wordy.  
\item What is the notation for the measure of angle $A$?
\item What are supplementary angles?  Be specific, not wordy.
\item What are complementary angles?  Be specific, not wordy.
\item What are concurrent lines?  Be specific, not wordy.
\item  Explain how you would use money to evaluate $1.55 \div
5$.
\item
Explain how you would use the area model to evaluate $\frac{4}{5} \times
1\frac{1}{2}$.
\item Convert the decimal $1.455555...$ to a fraction.  
	Any variables you use must be defined.
\item Convert $6 \frac{3}{4}$ to an improper fraction.  Use
colored regions to explain your answer.
	

\item Consider the set of test scores shown below
\begin{center}
\begin{tabular}{cccc}
1 & 1 & 70  & 78  \\
80 & 80 & 80 & 85  \\
85 & 85 & 90 & 90 
\end{tabular}
\end{center}
Would you say that the mean provides a good indication of a typical test
score for this class?  Briefly explain your answer.

\item Indiana license plates consist of a number followed by a
letter and then another number.  The first number represents the county; it
is a number between $1$ and $92$ since there are only $92$ counties.  The
letter can be any letter between A and Z.  The second number is a four
digit number.  For example, {\tt 2 A 0548} is an Indiana license plate
number.  How many Indiana license plates can be created using this
format?


\item CARFUS Soup Company doubled their earnings from 2001 to
2002.  They used the following diagram in their company report to 
highlight this achievement.

\begin{center}
\epsffile{pictures/soupcans.eps}
\end{center}

Both cans are the same height, but the diameter of the can representing the 
2002 earnings is twice as big as the diameter of the can representing the
2001 earnings.  Does this diagram accurately represent the increase in
earnings of the CARFUS Soup Company?  If it is not an accurate representation,
explain how you would change the representation to reflect the actual
increase in earnings.   

\item  In the article ``The World's 10 Worst Dictators'' 
	(David Wallechinsky, {\em Parade} magazine, 
	February 22, 2004), 
	the author states that in Equatorial Guinea ``the per 
	capita income is \$4500 a year,'' but ``60\% of the 
	people live on less than \$1 a day.'' 
	\begin{enumerate}
	\item What is the average yearly income in Equatorial Guinea?
	\item What can you say about the median yearly income in Equatorial
		Guinea?
	\item Why are the mean and the median so different for this
	problem?
	\item Which do you think is more representative of the yearly
	salary in Equatorial Guinea, the median or the mean?
	\item Speakers and writers often use statistics to persuade their
		audiences.  Moreover, it is not uncommon for speakers and
		writers to report only one of the measures of central
		tendency.  For example, a journalist might report only
		the mean while ignoring the mode and the
		median.  How would you respond to a speaker or a writer who
		uses only the mean to support his or her view?  Use this
		example to justify your response.
	\end{enumerate}
\item  The Math Club has ten members.
	\begin{enumerate}
	\item In how many ways can all ten members line up for a picture?
	\item In how many ways can they choose a president, a vice
		president, and a secretary?
	\item In how many ways can they choose four members to represent
	their club at the Math Olympics?
	\end{enumerate}
\item For a certain weighted die, the probability of rolling a
$6$ is $\frac{1}{12}$.  What are the odds in favor of rolling a $6$ for
this die?

\item Suppose that you are dealt two cards from an ordinary
deck of playing cards.
	\begin{enumerate}
	\item If the dealer does not replace your first card before dealing
	you the second card, what is the probability that you are dealt two
	hearts?
	\item If the dealer does replace your first card before dealing
	you the second card, what is the probability that you are dealt two
	hearts?
	\item If the dealer does not replace your first card before dealing
	you the second card, what is the probability that your second card
	is a heart given that your first card was a heart?
	\item If the dealer does replace your first card before dealing
	you the second card, what is the probability that your second card
	is a heart given that your first card was a heart?
	\item Let $A$ be the event that your first card is a heart.  Let
	$B$ be the event that your first card is an ace.  Are events $A$
	and $B$ mutually exclusive?  Explain very briefly.
	\end{enumerate}

\end{enumerate}
\end{document}
