1 John Augustus Stone, Excerpts from Metamora; Or, the L.docx

1
John Augustus Stone, Excerpts from Metamora; Or, the Last of
the Wampanoags, 1829
Stone’s tragic play presents a fictionalized account about
Metacom/King Philip, a Native
American who led an armed conflict against the Puritans of the
New England colonies in the
1670s. The story examines the struggles between English
settlers, such as Walter and Oceana,
and the Native American Wampanoags, including Metamora and
his wife Nahmeokee. At first,
there is peace, as the English and Native Americans cooperate.
As time moves on, however,
there are increasing incidents of violence, leading to the tragic
end of Metamora and his family
As you read through the excerpts below, pay attention to the
depictions of the Native Americans
participants, especially the mixing of the “Noble Savage” and
the “Vanishing Indian” motifs.

Euro-American Edwin Forrest dressed as Native American
Metamora, 1861
2
3
Act I, Scene 1
…
…
…

5
Act II, Scene 3
…
…
…
…
6

9
Act III, Scene 4
…
…
…

11
Act IV, Scene 2
…
…
…
…

15
Act V, Scene 5
…
…
…
…
16

…
MATH 106 Finite Mathematics 2168-OL1-6382-1A
Page 1 of 10
MATH 106 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and
other course materials as you work
on the exam, and you may use a calculator. You must complete
the exam individually.
Neither collaboration nor consultation with others is allowed.
Use of instructors’ solutions
manuals or online problem solving services in NOT allowed.
Record your answers and work on the separate answer sheet
provided.
There are 25 problems.

Problems #1–12 are Multiple Choice.
Problems #13–15 are Short Answer. (Work not required to be
shown)
Problems #16–25 are Short Answer with work required to be
shown.
MULTIPLE CHOICE
1. – 2. An electronics firm manufactures two types of personal
computers: a desktop model and
a laptop model. Producing a desktop computer costs $400 and
40 labor-hours. Producing a
desktop costs $250 and 30 labor-hours. The firm currently has
$20,000 and 2160 labor-hours
available for desktop and laptop production. Each desktop sold
brings the firm a $320 profit and
each laptop sold brings a $220 profit. Let x represent number
of desktops and y represent
number of laptops made per week.
1. Identify the constraint for computer production labor-hours:
1. _______
A. 40� + 30� ≥ 2160 C. 400� + 250� ≤ 20000

B. 40� + 30� ≤ 2160 D. 400� + 250� ≥ 20000
2. State the objective function.
2. _______
A. � = 320� + 220� C. � = 400� + 250�
B. � = 220� + 320� D. � = 250� + 400�
3. Which of the following statements is NOT true:
3. ________
A. If an event cannot possibly occur, then the probability of the
event is 0.
B. If events E and F are mutually exclusive events, then �(� ∩
�) = 0.
C. If only two outcomes are possible for an experiment, then the
sum of the probabilities of
the outcomes is equal to 1
D. Conditional probability is defined as
�(�|�) =
�(� ∩ �)
�(�)

Page 2 of 10
4. Students in four different MATH 106 class sections
responded to the survey question “How
many hours a day do you work on MATH 106?” as shown
below. Which histogram below
accurately reflects the section frequency distribution most likely
described as bimodal?
4. ______
HISTOGRAM A HISTOGRAM C
HISTOGRAM B
HISTOGRAM D
5. The Coolidge family buys a $330,000 home by putting a 20%
down payment and financing
the balance with a 30-year fixed mortgage at 3.9%. What is the
amount of their monthly loan
payment to amortize the loan?
5. _______

A. $1245.14 C. $1245.20
B. $1245.18 D. $1556.51
6. A jar contains 15 red balls, 12 yellow balls, and 18 green
balls. Suppose that each ball has an
equal chance of being picked from the jar. If a single ball is
selected at random from the jar,
what is the probability that it is not red?
6. _______
�.
2
3
�.
11
15
�.
3
5
�.
1

3
0
2
4
6
1 2 3 4 5 6
0
2
4
6
1 2 3 4 5 6
0
2
4
6
8
1 2 3 4 5 6

0
2
4
6
8
1 2 3 4 5 6
Page 3 of 10
7. The shaded “feasible region” graphed below satisfies which
system of linear inequalities?
7. ________
A. 3� + 2� ≥ 18 � + 2� ≥ 10 � ≥ 0 � ≥ 0
B. 3� + 2� ≤ 18 � + 2� ≤ 10 � ≥ 0 � ≥ 0
C. 3� + 2� ≥ 18 � + 2� ≤ 10 � ≥ 0 � ≥ 0
D. 3� + 2� ≤ 18 � + 2� ≥ 10 � ≥ 0 � ≥ 0

8. The Tralfaz appliance company manufactures small electric
grills. The company has
production costs defined as �(�) = 9.15� + 27200 where x is
the number of grills made each
month. Revenue is defined as �(�) = 21.95� where x is the
number of grills sold each month.
How many grills must be sold each month for this
manufacturing process to break even?
8. ________
A. 875 B. 1240 C. 2125 D.
2973
9. Find the equation of the line passing through (– 9, 3) and (6,
– 3): 9. _______
A. 2x – 5y = – 33 B. 5x + 2y = – 39 C. 2x +
5y = – 3 D. 5x + 2y = 24
-10
-8
-6
-4
-2

0
2
4
6
8
10
12
-1 0 1 2 3 4 5 6 7 8 9 10 11
(0,9)
(0,5)
(4,3)
Page 4 of 10
10. A survey of 800 small businesses indicates that 250 own a
videoconferencing system, 420
own projection equipment, and 180 own both videoconferencing
and projection equipment.
How many own neither projection equipment nor a
videoconferencing system?

10. ________
A. 310 C. 240
B. 70 D. 620
11. Which of the corner points for the system of linear
inequalities graphed below maximizes the
objective function P = 4x + 3y ?
11. _______
A. (0, 4) C. (0, 3)
B. (2, 0) D. (1, 2)
12. The mean lifetime for a Zap™ car battery is 170 weeks,
with a standard deviation of 10
weeks. Assuming a normal distribution, what is the probability
that the measured lifetime of
a randomly chosen Zap™ car battery is greater than 180 weeks?
12. ______
A. 0.6826 C. 0.3413
B. 0.0228 D. 0.1587

Page 5 of 10
SHORT ANSWER (work NOT required to be shown)
13. Consider the graph (at left) of a line.
(a) Determine the slope. ______________
(b) State the y-intercept. ______________
(c) Find the slope-intercept form of the equation
of the line.
____________________

14. “Guilt and focusing on decision making” (Gangemi &
Mancini, Journal of Behavioral
Decision Making, Vol 20, Jan 2007) reported on 171 volunteer
students participating in an
experiment where each was randomly assigned to one of three
groups. One group was made to
feel guilty, one group was made to feel angry, and the third
group was not influenced.
Immediately after reaching these emotional states, the students
were asked to decide whether or
not to spend lots of money to repair a very old car (not a
“historic”/antique). The “stated” option
was “spend the money to repair the car”. The following raw
data was recorded:
Emotional State Choose stated option C Don’t choose stated
option C’ Totals
Guilt 45 12 57
Anger 8 50 58
Neutral 7 49 56
Totals 60 111 171
(Report your answers as fractions or as decimal values rounded

to the nearest hundredth.)
Find the probability that a randomly-selected student:
(a) is in the “anger” emotional state : Answer:
______________
(b) chooses the stated option, given that the student is in the
“anger” state:
Answer: ______________
(c) chooses the stated option and is in the “anger” state?
Answer: ______________
Page 6 of 10
15. Use the following information to answer parts a-c.
U = {a, b, c, d, e, f, g, h, i, j,}; A = {a, c, e, g, i}; B = {b, d,
f, h, j}; C = {a, b, d}

a. Determine �′ ∩ � :
___________________________________
b. Determine (� ∪ �) − (� ∩ �) :
___________________________________
c. Determine �′ ∩ �′ :
___________________________________
SHORT ANSWER, with work required to be shown, as
indicated.
16. Thirteen people work in an office. 8 are women and 5 are
men. The flu virus is coming.
(a) In how many ways can the flu virus randomly select 5
workers out of the 13 to get sick?
Show work.
(b) In how many ways can the flu choose 5 workers, if 2 must
be women and 3 must be men?
Show work.
(c) If the flu virus randomly selects 5 workers from the 13 in
the office, what is the probability

that 3 are men and 2 are women? Round answer to nearest ten-
thousandth (4 places after
decimal). Show work.
_____________________________________________________
_________________________
17. Solve the system of equations using substitution,
elimination by addition, or augmented
matrix methods (your choice). Show work.
2� − 3� = 9
3� + 5� = 4
Page 7 of 10
18. The State of Texakota’s “child’s college education” annuity
savings plan pays 7.6%

compounded quarterly. What equal quarterly deposit should be
made into this annuity in order
to have $200,000 for college expenses in 19 years?. Show
work.
A. $1194.97 C. $8839.00
B. $1023.47 D. $1194.75
_____________________________________________________
_________________________
19. A 2012 report by the Animal Pet Products Association
stated Americans spent $30 billion on
their pets in 2002. By 2011, that number measured $51 billion.
Let y = amount (in $ billions)
Americans will spend on their pets in year x, where x = 0
represents the year 2002.
(a) Which of the following linear equations could be used to
predict the amount y (in $ billions)
Americans spend on their pets in a given year x, where x = 0
represents the year 2002?
Explain/show work.
A. y = – 2.33x + 2002 C. y = – 2.33x – 30

B. y = 2.33x + 2002 D. y = 2.33x + 30
(b) Use the equation from part (a) to predict the amount (in $
billions) Americans will spend on
their pets in the year 2026. Round answer to nearest tenth of a
billion dollars. Show work.
(c) Fill in the blanks to interpret the slope of the equation: The
rate of change of pet expenditure
with respect to time is ____________billion dollars per
________________. (Include units of
measurement.)
20. Bank A pays 5% compounded daily, while Bank B pays
5.12% compounded monthly.
Which bank pays more? Explain. Show work

of 10
_____________________________________________________
_________________________
21. A recent poll of Smallville voters showed that 60% of them
support the mayor. What is the
probability that in a random sample of 20 Smallville voters,
exactly 12 of them support the
mayor? Round answer to the nearest thousandth (three places
after decimal). Show work.
_____________________________________________________
_________________________
22. The feasible region shown below is bounded by lines 4x – y
= 6, x + y = 3, and y = 0.
Find the coordinates of corner point A. Show work.

Page 9 of 10
23. A network security specialist records the number of
incoming e-mails containing links that
six randomly-selected network users receive in a day. Numbers
are 90, 82, 82, 100, 88, and 98.
(a) State the mode (if one exists).
(b) Find the median. Show work/explanation.
(c) Determine the sample mean. Show work
(d) Using the sample mean found in part (c), and given that
the sample standard deviation of
the data set above is 7.69, what percentage of the data set falls
within one standard deviation of

the mean? Show work/explanation.
(d) _______
A. 50.0% C. 33.3%
B. 66.7% D. 68.3%
24. Air Weegotcha overbooks as many as five passengers per
flight because some passengers
with reservations do not show up for the flight. The airline's
records indicate the following
probabilities that it will be overbooked at flight time.
Number overbooked at flight time 0 1 2 3 4 5
Probability of number overbooked 0.7 0.16 0.08 0.03 0.02 0.01
Find the expected number of overbooked passengers per flight.
Page 10 of 10

25. Mary McMath surveyed 120 students in a finite math class
on what they most recently did
for fun. 50 went to the movies, 75 went to the big football
game, and 10 went to the movies and
the big football game.
(a) What is the probability that a randomly selected
student went to neither the movies nor
to the big football game? Show work.
(b) Let M = {students who went to movies} and G =
{students who went to the “big game”}.
Determine the number of attendees belonging to each of the
regions I, II, III, IV.

Region I: ________ Region II: __________ Region III:
_________ Region IV: __________
_____________________________________________________
_________________________
U
G M
II
IV
III I

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