Question 1

The following table shows the total paid on a car loan, given the number of months since the loan  was taken out. Only the first five months are shown.  a. How much was paid after 0 months? What does this represent?
b. What are the independent and dependent variables?
c. Write a formula for the total amount paid after x months.

Accepted Answer

The answer of The following table shows the total paid...

Question 2

In model trains, O scale means the models are made using a 1:48 scale. In the U.S., real train tracks have rails that are 4 ft 8 in apart.
a. If miniature train track was made using O scale, how far apart should the rails be? Round to the nearest hundredth of an inch.
b. The word gauge refers to how far apart the model rails are. For some reason, O gauge track does not exactly use O scale, and O gauge rails are 1.25 inches apart. Find the relative difference of the rail spacing on O gauge track compared to what it should be if it followed O scale. Round to the nearest tenth of a percent.

Accepted Answer

The answer of In model trains, O scale means the...

Question 3

There are 51 cars in the parking lot, of which 11 are white. Write a ratio of white cars to cars that are not white.

Accepted Answer

The answer of There are 51 cars in the parking...

Question 4

Convert the unit of time.

Accepted Answer

The answer of Convert the unit of time. ...

Question 5

Of all the topics we have covered in unit 2, what has stood out to you as something most relevant to your life? Explain why.

Accepted Answer

The answer of Of all the topics we have covered...

Question 6

What is the difference between theoretical and empirical probability?

Accepted Answer

The answer of What is the difference between theoretical and...

Question 7

A jar contains 16 marbles: 5 blue, 8 green, and 3 yellow. What is the probability of choosing an orange marble from the jar?
A)0
B)3/8
C)1

Accepted Answer

The answer of A jar contains 16 marbles: 5 blue,...

Question 8

Convert the unit of mass.

Accepted Answer

The answer of Convert the unit of mass. ...

Question 9

Erin is buying floor tile to put in a room that is 10 ft by 15 ft. She has chosen tiles that are 18 in by  18 in. Assuming that she needs to buy 10% extra to be safe, how many tiles will she need to buy?
Show all of your work and give your answer in a complete sentence.

Accepted Answer

The answer of Erin is buying floor tile to put...

Question 10

Suzie hangs 10 pictures that each measure 8.5 inches wide on a wall. She spaces them 6 inches apart with 2 inches on each end, so that they fit perfectly on the wall. How wide is the wall?
Show all of your work and give your answer in a complete sentence.

Accepted Answer

The answer of Suzie hangs 10 pictures that each measure...

Question 11

A polygraph test is sometimes used to detect if someone is lying, but it is generally not admissible in court because of its dubious accuracy. A polygraph test is given to 98 people, and the test is wrong for 24 of them. What is the empirical probability that the polygraph test is wrong for a randomly chosen person? What is the probability that it is right?

Accepted Answer

The answer of A polygraph test is sometimes used to...

Question 12

Whatever happened to 1 pound bags of coffee? My favorite brands of coffee are Eight O'Clock and dunkin Donuts, but it is hard to compare because they come in different size bags. Compare the following:
Eight O'Clock Coffee comes in an 11 oz bag for $5.99
Dunkin Donuts Coffee comes in a 12 oz bag for $6.69
Find the unit price for each bag of coffee to determine the best deal.

Accepted Answer

The answer of Whatever happened to 1 pound bags of...

Question 13

Read the following scenario and determine whether the type of reasoning used by Paul is inductive or deductive. Explain how you decided.
Paul knew that his friend, Leanne, had been late the past 8 workdays, so he didn't save a seat for her at morning meeting.

Accepted Answer

The answer of Read the following scenario and determine whether...

Question 14

A greeting card company can sell cards for $2.75 each, so the revenue can be calculated using the formula R = 2.75x. The company's total cost consists of a fixed overhead of $12,000 plus 35 cents per card, so the total cost can be calculated using the formula C = 0.35x + 1200.
a. Write the algebraic equation needed to determine when the company will break even (when the revenue will equal the cost).
b. Solve the equation from part a.
c. Write the algebraic inequality needed to indicate that the revenue is greater than the cost.
d. Solve the inequality from part c.
e. What does your answer from part d tell you about when the company will make a profit?

Accepted Answer

The answer of A greeting card company can sell cards...

Question 15

For the Spring Fling gala, Felicia has 500 ft of lights to hang. If the width of the room is 70 ft, what is the length of the room if she can hang all the lights so that they go around the room exactly once?
Show all of your work and give your answer in a complete sentence.

Accepted Answer

The answer of For the Spring Fling gala, Felicia has...

Question 16

Convert the metric unit of length using unit ratios.

Accepted Answer

The answer of Convert the metric unit of length using...

Question 17

Graph the solution set to the inequality.

Accepted Answer

The answer of Graph the solution set to the inequality....

Question 18

Read the following scenario and determine whether the type of reasoning used by Leanne is inductive or deductive. Explain how you decided.
Leanne was concerned that if she continued to be late for work, she would lose her job.

Accepted Answer

The answer of Read the following scenario and determine whether...

Question 19

Explain what a counterexample is.

Accepted Answer

The answer of Explain what a counterexample is....

Question 20

To be completely accurate, a model railroad needs to scale down speed in addition to size. Rail speed limits depend on track quality, but the highest speed limit in the U.S. is 200 mph. What should the highest speed be for a 1:48 O scale train in feet per second? Round to the nearest tenth.

Accepted Answer

The answer of To be completely accurate, a model railroad...

Quiz 2: Making Sense of It All

There are 51 cars in the parking lot, of which 11 are white. Write a ratio of white cars to cars that are not white.

Convert the unit of time.

Of all the topics we have covered in unit 2, what has stood out to you as something most relevant to your life? Explain why.

What is the difference between theoretical and empirical probability?

A jar contains 16 marbles: 5 blue, 8 green, and 3 yellow. What is the probability of choosing an orange marble from the jar?

Convert the unit of mass.

Erin is buying floor tile to put in a room that is 10 ft by 15 ft. She has chosen tiles that are 18 in by 18 in. Assuming that she needs to buy 10% extra to be safe, how many tiles will she need to buy? Show all of your work and give your answer in a complete sentence.

Suzie hangs 10 pictures that each measure 8.5 inches wide on a wall. She spaces them 6 inches apart with 2 inches on each end, so that they fit perfectly on the wall. How wide is the wall? Show all of your work and give your answer in a complete sentence.

Read the following scenario and determine whether the type of reasoning used by Paul is inductive or deductive. Explain how you decided. Paul knew that his friend, Leanne, had been late the past 8 workdays, so he didn't save a seat for her at morning meeting.

For the Spring Fling gala, Felicia has 500 ft of lights to hang. If the width of the room is 70 ft, what is the length of the room if she can hang all the lights so that they go around the room exactly once? Show all of your work and give your answer in a complete sentence.

Convert the metric unit of length using unit ratios.

Graph the solution set to the inequality.

Read the following scenario and determine whether the type of reasoning used by Leanne is inductive or deductive. Explain how you decided. Leanne was concerned that if she continued to be late for work, she would lose her job.

Explain what a counterexample is.

To be completely accurate, a model railroad needs to scale down speed in addition to size. Rail speed limits depend on track quality, but the highest speed limit in the U.S. is 200 mph. What should the highest speed be for a 1:48 O scale train in feet per second? Round to the nearest tenth.