W03 Unit 1 Review

4

Consider the conditional statement "If x is a prime number, then x is an odd number." Is this statement true for x = 2? (Remember a prime number is divisible only by 1 and itself)

Choose the answer with the most correct explanation.

Group of answer choices

The conditional statement is false because 2 is a prime number (the "if" is true) and 2 is an even number (the "then" is false).

The conditional statement is assumed false because 2 is an even number (the "then" is false) regardless of the truth of the "if".

The conditional statement is neither true nor false.

There is not enough information to decide if the conditional statement is true or false.

The conditional statement is assumed true because 2 is a prime number (the "if" is true).

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5

Use the list below to select the correct term for each of the following definitions.

Fallacy

Proposition

Conditional Statement

Assumption

Logical Reasoning

Variable

Group of answer choices

Fallacy

[ Choose ] An element of a situation that has the potential to change in value. An argument based on an error in reasoning. A statement that is either true or false. A Statement with an if-then structure that is either true or false. The process of analyzing and evaluating arguments to draw a valid conclusion. An element of a situation that is accepted as true without proof.

Proposition

[ Choose ] An element of a situation that has the potential to change in value. An argument based on an error in reasoning. A statement that is either true or false. A Statement with an if-then structure that is either true or false. The process of analyzing and evaluating arguments to draw a valid conclusion. An element of a situation that is accepted as true without proof.

Conditional Statement

[ Choose ] An element of a situation that has the potential to change in value. An argument based on an error in reasoning. A statement that is either true or false. A Statement with an if-then structure that is either true or false. The process of analyzing and evaluating arguments to draw a valid conclusion. An element of a situation that is accepted as true without proof.

Assumption

[ Choose ] An element of a situation that has the potential to change in value. An argument based on an error in reasoning. A statement that is either true or false. A Statement with an if-then structure that is either true or false. The process of analyzing and evaluating arguments to draw a valid conclusion. An element of a situation that is accepted as true without proof.

Logical Reasoning

[ Choose ] An element of a situation that has the potential to change in value. An argument based on an error in reasoning. A statement that is either true or false. A Statement with an if-then structure that is either true or false. The process of analyzing and evaluating arguments to draw a valid conclusion. An element of a situation that is accepted as true without proof.

Variable

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6

Consider this conditional statement: If you eat a whole box of donuts, then you will get a stomach ache.

Under which of the following conditions would the conditional statement be false?

Group of answer choices

You eat a whole box of pizza and end up with a stomach ache.

You eat a half a box of donuts and you get a stomach ache,

You eat a whole box of donuts and don't get a stomach ache.

You eat a whole pizza and don't get a stomach ache.

You don't eat any sugar today and you get a stomach ache.

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7

Which of following could not be made into a conditional statement?

Group of answer choices

Have you taken the test?

Every cloud has a silver lining.

All snakes are mammals.

If ye love me, keep my commandments.

The early bird always gets the worm.

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8

Match each of the following definitions to the correct fallacy:

Group of answer choices

This fallacy refers to an argument where a conclusion is made without adequately considering other possible explanations for the observed effect.

[ Choose ] Improper Generalization Alternative Explanation Personal Attack Appeal to emotion

This fallacy is an argument that concludes that because one individual or group experiences a certain result, then everyone should experience the similar results.

[ Choose ] Improper Generalization Alternative Explanation Personal Attack Appeal to emotion

This fallacy is an argument that claims something is true because of a sentiment or feeling unrelated to the argument.

[ Choose ] Improper Generalization Alternative Explanation Personal Attack Appeal to emotion

This fallacy is based on criticizing the person making the argument, rather than critiquing the argument on its own merits.

[ Choose ] Improper Generalization Alternative Explanation Personal Attack Appeal to emotion

definitions -

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9

In many advertisements we might hear or read statements or claims that could contain logical fallacies. Some examples are McDonald's - I'm Lovin It, Subaru - Love Conquers All, CocaCola - #openhappiness. If a logical flaw exists, what type of logical flawexists in these statements?

Group of answer choices

Alternative explanation

There is no logical flaw. The advertisements are true.

Appeal to emotion

Improper generalization

Personal attack

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10

The following is a review of a book on Amazon.com:"This Marxist French fool doesn't have a grasp on reality (like most socialist) this waste of paper is good for only one thing, a bon fire! What a bunch of garbage!" This review is not a well-reasoned argument because it contains the following flaw in logical reasoning:

Group of answer choices

Alternative explanation

Personal attack

Improper generalization

Appeal to emotion

There is no logical flaw in the argument.

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Question 111pts

If logical flaws exist, identify the flaw in the following argument:

"According to the most recent statistics from the Centers for Disease Control, West Virginia has the highest rate of obesity in the United States. Living in West Virginia must make you gain weight."

Group of answer choices

Appeal to emotion

Improper generalization

There is no logical flaw in the argument.

Personal attack

Alternative explanation

Flag question: Question 12Question 121pts

If logical flaws exist, identify the flaw in the following argument:

"I met seven different people from West Virginia that were clinically obese. Everyone living in West Virginia must be obese."

Group of answer choices

Alternative explanation

Personal attack

There is no logical flaw in the argument

Appeal to emotion

Improper generalization

Flag question: Question 13Question 131pts

Which of the following correctly rephrases the statement "Wintertime in Sitka is always cold" as a conditional statement?

Group of answer choices

If it is in Sitka, then it is wintertime

The statement cannot be turned into a conditional statement because it is just a proposition.

If it is wintertime in Sitka, then it is cold .

The statement cannot be turned into a conditional statement because it is always true.

If it is cold in Sitka, then it is wintertime .

Flag question: Question 14Question 141pts

Curtis told his roommate Luis, "If you give me twenty dollars, Luis, then I will kiss a frog."

Which of the following would show this conditional statement to befalse?

Group of answer choices

Luis does not give Curtis twenty dollars, and Curtis does not kiss a frog.

This statement cannot be shown false-it is always true.

Luis gives Curtis twenty dollars, and Curtis kisses a frog.

Luis gives Curtis twenty dollars, but Curtis does not kiss a frog.

Curtis kisses a frog, but Luis does not give hum twenty dollars.

Flag question: Question 15Question 151pts

Identify the first step of the Quantitative Reasoning Process.

Group of answer choices

Understand the Problem

Carry out calculations

Apply Quantitative tools

Identify key variables & make key assumptions

Createe statistical charts & graphs

Evaluate your reasoning

Make an informed decision

Flag question: Question 16Question 161pts

Identify step two of the Quantitative Reasoning Process.

Group of answer choices

Carry out calculations

Apply quantitative tools

Understand the Problem

Identify key variables & make key assumptions

Create statistical charts & graphs

Evaluate your reasoning

Make an informed decision

Flag question: Question 17Question 171pts

Identify the third step of the Quantitative Reasoning Process.

Group of answer choices

Carry out calculations

Apply quantitative tools

Understand the Problem

Identify key variables & make key assumptions

Create statistical charts & graphs

Evaluate your reasoning

Make an informed decision

Flag question: Question 18Question 181pts

Identify the fourth step of the Quantitative Reasoning Process.

Group of answer choices

Carry out calculations

Apply quantitative tools

Understand the Problem

Identify key variables & make key assumptions

Create statistical charts & graphs

Evaluate your reasoning

Make an informed decision

Flag question: Question 19Question 191pts

Which of the following isnotan appropriate question to ask yourself in step 5, the final step of the Quantitative Reasoning Process, when you reflect on and evaluate a decision?

Group of answer choices

Does this decision make sense?

Are there any consequences of this decision that I have not considered?

Are my assumptions reasonable?

What statistical charts or graphs should be created in this real-world problem?

Flag question: Question 20Question 201pts

Which is the following is the final step in the Quantitative Reasoning Process?

Group of answer choices

Evaluate your reasoning.

Review your answers.

Make an informed decision.

Carry out your plan.

Identify key variables and make assumptions.

Flag question: Question 21Question 211pts

With her company, Annika has a two-year assignment living in a large city. The company will reimburse most of her expenses. Annika is using the Quantitative Reasoning Process to build a budget. Calculate Annika's estimated living expenses for the next two years using the following:

Rent: $1,050 per month

Gym membership: $425 per year with a monthly fee of $20

Renters' insurance: $80 every 6 months,

Groceries: $360 per month

Eating out & entertaining: $225 per week.

Assume 52 weeks in 1 year and 12 months in 1 year.

(Round your answer to the nearest whole dollar)

Flag question: Question 22Question 221pts

Andrew is getting ready to apply to graduate school. He and some friends took a GRE preparation class. Most class members scored around 154 on the quantitative portion of the GRE. A few class members scored around 105 on the quantitative portion.

Which of the following would be the best measure to see how Andrew's score on the quantitative portion of the GRE compares to the rest of the scores of the GRE preparation class members?

Group of answer choices

Mode

Standard Deviation

Median

Percentile

Mean

Flag question: Question 23Question 231pts

Simplify the following math expression:

3+7(6???3)+10??2

Flag question: Question 24Question 241pts

Newborn babies have lengths that are all very similar to one another.

Which of the following would be the best measure of the center of the set of data consisting of the lengths of a group of newborn babies?

Group of answer choices

Mean

Median

Mode

Minimum

Maximum

Flag question: Question 25Question 251pts

Convert the following phrase to a mathematical sentence:

"The product of the number of cows and the number of ducks is 40 percent of the number of horses."

Group of answer choices

cows+ducks=0.40*horses

cows * ducks = (1 + 0.40) * horses

cows * ducks = 0.40 * horses

cows - ducks = (1 - 0.40) * horses

cows - ducks + horses = 0.40

Flag question: Question 26Question 261pts

Karl was suspicious that cars driving down his street were often driving faster than the speed limit of 25mph. He called the police department and complained. In response the police department set up a radar speed sign (shown in the image below) and recorded the speeds of vehicles for a day.

Here is the report they obtained after observing speeds for a day.

Mean Speed	28.2 mph
Minimum Speed	18 mph
Maximum Speed	43 mph
Median Speed	25 mph
90th Percentile of Speed	33.1 mph

Which of the following would be a correct statement to make about the information shown in the above report?

Group of answer choices

The fastest car observed was driving 28.2 mph.

One in every 10 of the vehicles observed (10%) was driving faster than 33.1 mph.

The typical speed of vehicles that day was around 18 mph.

The average speed of 28.2 was under the speed limit, so it seems that, at least on average, cars are going the correct speed.

Cars all appear to have been driving very quickly that day as the slowest vehicle speed recorded was still higher than the speed limit.

Flag question: Question 27Question 271pts

Peggy Lee is a BYU-Idaho student who works as a swim team coach when she is not in school. Most of the members of her team swim similar race times. However, a couple members of the team swim rather slower than the rest. Which number would be best for describing how fast the majority of Peggy Lee's swimmers typically swim?

Group of answer choices

Median

Maximum

Mode

Minimum

Mean

Flag question: Question 28Question 281pts

Ms. Curieis a 11th grade science teacher. After grading the first two exams, she computed the mean and standard deviation for each exam.

	Mean Exam Score	Standard Deviation of Exam Scores
Exam 1	90	8.5
Exam 2	81	3.2

Which of the following best describes what the standard deviations tell Ms. Curieabout the exams.

Group of answer choices

The scores on Exam 1 were better at measuring learning than the scores on Exam 2.

The scores on Exam 1 were lower than the scores on Exam 2.

The scores on Exam 1 were more consistent than the scores on Exam 2.

The scores on Exam 1 were higher than the scores on Exam 2.

The scores on Exam 1 were more spread out than the scores on Exam 2.

Flag question: Question 29Question 291pts

Andrea is making a sandbox for her children. She has made a wooden frame for her backyard that is 11 feet long, 8 feet wide, and 2 feet deep. She can purchase sand for the sandbox for $30 per cubic meter. How much will it cost Andrea to purchase sand? (Hint: 1 foot = 0.3048 meters.)

(Round your answer to the nearest dollar.)

Flag question: Question 30Question 301pts

One of the mountains on the Idaho/Wyoming border is 11,872 feet above sea level. Convert the mountain's elevation into miles. (Hint: 1 mile = 5280 feet).

(Round your answer to 2 decimal places)

Flag question: Question 31Question 311pts

The final price of the textbook for an English literature course is 8.3% more than the listed price when tax and shipping costs are included. If the listed price is $104, what is the final price of the textbook?

(Round to the nearest dollar.)

Flag question: Question 32Question 321pts

Amazon is having a sale where items are sold for 28% less than the original price. If Janet bought a new necklace for a sale price of $71, what was the original price of the necklace?

(Round to the nearest cent which means rounding to the hundredths place, which is two places after the decimal.)

Flag question: Question 33Question 331pts

In 2023 the population of Rexburg, Idaho was 36,293 people. The population was expected to grow at a rate of about 1.53% per year. Based on these numbers, what would we predict the population of Rexburg will be in the year 2028?

(Round to the nearest whole number.)

Flag question: Question 34Question 341pts

Alicia took a friend for a birthday dinner. The total bill for dinner was $39.74 (including tax and a tip). If Alicia paid a 23% tip, what was her billbeforeadding the tip?

(Round to the nearest cent which means rounding to the hundredths place, which is two places after the decimal.)

Flag question: Question 35Question 351pts

Weston used the Quantitative Reasoning Process to budget and to start a savings account. Each month he makes about $673 from a part-time job. Weston's parents also send him $194 per month. The sum of Weston's paycheck and the money he gets from his parents is 24% more than his total expenses. How much money does Weston have available to add to his savings account each month?

(Round to the nearest cent which means rounding to the hundredths place, which is two places after the decimal.)

Flag question: Question 36Question 361pts

Rob needs to createe a rectangle parking area 50 meters long and 32 meters wide. Paving material costs $6 per square foot. 1 foot =.3048 meter. How many dollars will it cost to prepare the parking area.

Group of answer choices

$ 103,333.54

$ 31,496.06

$ 1600

$ 9600

Flag question: Question 37Question 371pts

Suppose the current exchange rate is 5.74 Ghanaian Cedis per $1 US dollar and you have 161 Cedis. After a no-fee exchange how much money in US Dollars would you have?

(Round to the nearest cent which means rounding to the hundredths place, which is two places after the decimal.)

Flag question: Question 38Question 381pts

Tenielle currently walks to school from her apartment, which is 1.3 miles away from her first class. She typically walks at a speed of 3 miles per hour. She is considering buying a used bicycle to ride to campus. Tenielle assumes that if she were riding a bike, she could go about 6 miles per hour.

How many minutescould Tenielle savegetting to class each morning if she were to ride the bike?

(Round your answer to 2 decimal places)

Flag question: Question 39Question 391pts

With his new company, Ruben has a two-year assignment living in a large city. The company will reimburse most of his expenses. Ruben is using the Quantitative Reasoning Process to build a budget. CalculateRuben's estimated living expenses for the next two years using the following:

Rent: $1891 per month

Gym membership: $167 per year with a monthly fee of $22

Renters' insurance: $75 every 6 months

Groceries: $410 per month

Eating out & entertaining: $126 per week

Assume 52 weeks in 1 year and 12 months in 1 year.

(Round your answer to the nearest whole dollar)

Flag question: Question 40Question 401pts

In Tasheena's Anthropology class Quizzes are worth 15% of the final grade, Exams are worth 55%, Projects are worth 25%, and Attendance is worth 5%.

At mid-semester Tasheena scored 144 out of 150 points on quizzes, 75, 83, and 96 on the first three exams, each worth 100 points. She got extra credit on her project with a score of 27 out of 25 possible points, and she had perfect attendance to class. Compute Tasheena's grade percentage in the class so far.

(Make sure to change your answer to a percent and then round your percent to a whole number.)