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University of Nevada Las Vegas Algebra Problems

10/19/21, 6:58 PMQuiz: Section 7.3
Section 7.3
Started: Oct 18 at 12:44am
Quiz Instructions
Question 1
3 pts
The coffee shop, Central Perk, can make you eggs (prepared one of 6 different
ways), meat ( 3 choices), toast ( 4 choices), and potatoes ( 2 ways). How many
different options does a customer have for ordering breakfast, if one of each item is
ordered? (Enter your answer in the box below).
Question 2
3 pts
A pizza place offers 4 kinds of vegetable and 3 kinds of meat toppings. When
ordering a pizza with two toppings only, how many different ways can you order a
pizza with a vegetable topping and a meat topping? (Enter your answer in the box
below).
Question 3
3 pts
While on vacation, a couple buy 1 different post cards to send to 1 of their
friends. How many different ways are there to send the cards to their friends?(Enter
your answer in the box below).
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10/19/21, 6:58 PM
Quiz: Section 7.3
Question 4
3 pts
Patrick wants to purchase a custom-made tablet computer. Patrick could choose one
of 3 tablet screen sizes, one of 3 hard-drive storage capacities, one of 3
Random-access Memory (RAM) capacities, one of 3 cover colors, and one of 3
types of battery capacities. How many options does Patrick have for selecting a
tablet computer? (Enter your answer in the box below).
Question 5
3 pts
here are 9 seats in the front row of a popular English class, and 15 eager
students wishing to fill them. Knowing that not all of the students can find a seat in the
front row, in how many ways can these seats be assigned? (Enter your answer in the
box below, without using comma in the number. The program will insert comma in the
number where needed when you submit your answer).
Question 6
3 pts
Anika has purchased 2 non-fiction and 5 fiction books to read over the summer. In
how many different orders can she choose to read the books over the summer?
(Enter your answer in the box below, without using comma in the number. The
program will insert comma in the number where needed when you submit your
answer).
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10/19/21, 6:58 PM
Question 7
Quiz: Section 7.3
3 pts
A yogurt shop has 15 flavors and comes in 6 bucket sizes. How many different
ways can a bucket of yogurt be purchased?
Question 8
3 pts
A coin is flipped 9 times. How many outcomes are possible in the sample space?
(Enter your answer in the box below, without using comma in the number. The
program will insert comma in the number where needed when you submit your
answer).
Question 9
3 pts
There are 8 possible movies to see at a movie theater, and 13 different snacks to
purchase while at the movies. In how many different ways can a customer see a
movie and have a snack at this movie theater? (Enter your answer in the box below).
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10/19/21, 6:58 PM
Quiz: Section 7.3
Question 10
3 pts
An animal rescue house has 8 cats and 5 dogs. Alex shows up at the rescue
house and he wants to adopt a cat and a dog. How many ways can Alex pick a cat
and a dog to go home with him? (Enter your answer in the box below).
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10/19/21, 9:46 PM
Quiz: Section 7.4
Section 7.4
Started: Oct 19 at 9:43pm
Quiz Instructions
Question 1
3 pts
The data:
12 ,
a11 =
7 ,
a12 =
6 ,
a13 =
164 ,
a21 =
58 ,
a22 =
83
a23 =
which is represented in the following table, were derived from a study of the
effectiveness of a flu vaccine. The value in each cell of the table represents the
number of individuals in that category. Some participants in the study were given no
vaccine, some were given one injection, and some were given two injections.
No Vaccine One Injection Two Injections
Flu
12
7
6
No Flu
164
58
83
What is the probability that a person received two injections?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
Question 2
3 pts
A box contains 4 red marbles, 10 black marbles, and 9 yellow marbles. If a
marble is selected at random from the box, what is the probability that it is yellow?
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10/19/21, 9:46 PM
Quiz: Section 7.4
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
Question 3
3 pts
A college sends a survey to selected members of the class of 2019. Of the 2,139
people who graduated that year, 664 were women, of whom 154 went on to
graduate school. Of the male graduates, 127 went on to graduate school. An
alumni member is selected at random. What is the probability that the alumni is
female?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
Question 4
3 pts
A person is selected at random for jury duty from a list of registered voters from three
different counties. County A has 12,245 registered voters, County B has
24,773 registered voters, and county C has 30,958 registered voters. What is
the probability that the person chosen is from county C ?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
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10/19/21, 9:46 PM
Quiz: Section 7.4
Question 5
3 pts
In a high school graduating class of 305 students, 124 are on the honor roll. Of
the students who are on the honor roll, 61 are going on to college, and of the
other students, 100 are going on to college. A student is selected at random from
the graduating class. What is the probability that the chosen student is on the honor
roll but NOT going to college?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
Question 6
3 pts
The sample space for rolling a six-sided die is S = {1, 2, 3, 4, 5, 6}. To answer the
following questions, enter your answer in each box in the form of a simplified fraction
such as 1/2, 2/3, and so on.
a) What is the probability of obtaining
4?
b) What is the probability of an outcome larger than
3?
c) What is the probability of an outcome that is no more than
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3?
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10/19/21, 9:46 PM
Quiz: Section 7.4
Question 7
3 pts
The data:
8 ,
a11 =
6 ,
a12 =
6 ,
a13 =
229 ,
a21 =
131 ,
a22 =
260
a23 =
which is represented in the following table, were derived from a study of the
effectiveness of a flu vaccine. the value in each cell of the table represents the
number of individuals in that category. Some participants in the study were given no
vaccine, some were given one injection, and some were given two injections.
No Vaccine One Injection Two Injections
Flu
8
6
6
No Flu
229
131
260
What is the probability that a person did not get the flu?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
Question 8
3 pts
A college sends a survey to selected members of the class of 2019. Of the 1,456
people who graduated that year, 562 were women, of whom 291 went on to
graduate school. Of the male graduates, 142 went on to graduate school. An
alumni member is selected at random. What is the probability that the alumni is
male?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
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10/19/21, 9:46 PM
Quiz: Section 7.4
Question 9
3 pts
Several health insurance companies are bidding for an insurance contract. Of these
companies, 3 are local, 6 have state-wide operations, and 9 have national
operations. Only one company will be awarded the contract. If each company is
equally likely to win the contract, what is the probability that the contract will be
awarded to one of the companies with state-wide operations?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
Question 10
3 pts
The data:
76 ,
a11 =
54 ,
a12 =
8 ,
a13 =
52 ,
a21 =
25 ,
a22 =
6
a23 =
which is represented in the following table, were derived from an interview of a group
of college students to determine their political party affiliations and whether they
favored a balanced-budget amendment to the constitution.
Favor
Not Favor
Unsure
Democrat
76
54
8
Republican
52
25
6
What is the probability that a student is a Democrat AND favors the
amendment?
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10/19/21, 9:46 PM
Quiz: Section 7.4
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
Question 11
3 pts
A coin is tossed 4 times. What is the probability of obtaining at least one tail?
Note: Enter your full answer without rounding it.
Question 12
3 pts
The data:
46 ,
a11 =
43 ,
a12 =
10 ,
a13 =
87 ,
a21 =
20 ,
a22 =
13
a23 =
which is represented in the following table, were derived from an interview of a group
of college students to determine their political party affiliations and whether they
favored a balanced-budget amendment to the constitution.
Favor
Not Favor
Unsure
Democrat
46
43
10
Republican
87
20
13
What is the probability that a student is a Republican?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
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10/19/21, 9:46 PM
Quiz: Section 7.4
round your final answer to four decimal places.
Question 13
3 pts
The data:
6 ,
a11 =
11 ,
a12 =
10 ,
a13 =
217 ,
a21 =
57 ,
a22 =
180
a23 =
which is represented in the following table, were derived from an interview of a group
of college students to determine their political party affiliations and whether they
favored a balanced-budget amendment to the constitution.
Favor
Not Favor
Unsure
Democrat
6
11
10
Republican
217
57
180
What is the probability that a student does NOT favor the amendment?
Note: For any final answer that has up to four decimal places, enter your answer
without rounding the number. For any answers with more than four decimal values,
round your final answer to four decimal places.
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