PEARSON Math Answers (Using and Understanding Mathematics: A Quantitative Reasoning Approach 7th Edition)
Choose the best answer to the following question. Explain your reasoning with one or more complete sentences. What does the word "per" mean?
The word "per" means divided by because it implies division.
Give an example of qualitative data. Explain your reasoning.
An example is ratings of restaurants because they would be based on subjective opinions.
The price of a four-star meal, only $120 per couple decades ago, has since increased 300%. The current price of a four-star meal is which of the following?
A four-star meal is $480 because 3 times $ 120 equals $ 360, which is added to $120.
Why are credit card loans particularly dangerous?
Credit card loans are particularly dangerous because they have very high interest rates compared to other types of loans, so it is easy to get into financial trouble.
How do credit card loans differ from ordinary installment loans?
Credit card loans differ from installment loans in that you are NOT required to pay off your balance in any set period of time.
What is a histogram?
It is a bar graph for quantitative data.
What does a negative monthly cash flow mean?
It means you are spending more money than you are taking in. When you subtract your total expenses from your total income, the difference is negative.
Which of the following best describes the correlation between accidents and texting while driving? Explain your reasoning.
Texting while driving is a likely cause of accidents because texting is a distraction from driving.
"What are the quartiles of a distribution? How do we find them?" homework 6b quizlet
The lower quartile is the median of the data values in the lower half of a data set. The middle quartile is the overall median. The upper quartile is the median of the data values in the upper half of data set.
The main span of Bridge A (2600 feet) is _____ percent shorter than the main span of Bridge B (4100 feet).
The main span of Bridge A (2600 feet) is 36.6 percent shorter than the main span of Bridge B (4100 feet).
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I had originally suspected that an increase in variable E would cause a decrease in variable F, but I no longer believe this because I found no correlation between the two variables.
The statement makes sense. Originally, a negative correlation was suspected. Since no correlation was found, there is apparently no relationship between the variables.
Determine whether the following variable is qualitative or quantitative, and explain why. Daily snowfall (in inches) during January in Syracuse, New York
The variable is quantitative because inches are measurements.
Express the given decimal as a percentage and a reduced fraction. 0.40
What is the percentage form of 0.40? 40% What is the reduced fraction form of 0.40? two fifths 2/5
Which of the following is necessary if you want to make monthly contributions to savings?
You must have a positive monthly cash flow. If your cash flow is positive, you will have money left over at the end of each month, which you can use for savings.
Explain, in general terms, how the portions of loan payments going to principal and interest change over the life of the loan.
Installment loans gradually pay down the loan principal while the payments remain the same. Therefore, the interest due each month gradually decreases and the amount paid toward the principal gradually increases.
You are currently paying off a student loan with an interest rate of 10% and a monthly payment of $440. You are offered the chance to refinance the remaining balance with a new 10-year loan with an interest rate of 7% that will give you significantly lower monthly payment. Is refinancing this way a good idea?
It may or may not be a good idea, depending on closing costs and how many years are remaining in your current loan term. Refinancing would reset the loan term to 10 years.
If X is correlated with Y, what must be true about X and Y? Explain your reasoning.
Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between X and Y when higher values of X consistently go with higher values of Y or when higher values of X consistently go with lower values of Y.
The retail cost of a TV is 15% more than its wholesale cost. Therefore, the retail cost is ____ times the wholesale cost.
The retail cost is select: 115 115 times the wholesale cost
if John earns 20% more than mary does, then mary must earn approximately 20% less than John does
The statement does not make sense because because if john earns 20% more than Mary must earn approximately 16.7% less than john does
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The cumulative frequency of C grades in our class of 31 students was 50.
The statement does not make sense because the frequency cannot be greater than the total.
Decide whether the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. I made a frequency table with two columns, one labeled "State" and one labeled "State Capitol."
The statement does not make sense. In a frequency table, one of the columns lists the frequency of each category, which is the number of data values in the category. The table described in the given statement does not have this column.
I make only the minimum required payments on my credit card balance each month, because that way I'll have more of my own money to keep.
The statement does not make sense. It takes a very long time to pay off a credit card loan if only the minimum payments are made. This results in much more interest being paid.
Express the given percentage as a reduced fraction and a decimal. 180%
What is the reduced fraction form of 180%? nine fifths 9/5
Suppose you have a health insurance policy with an annual premium of $4800, an annual deductible of $1000, and copayments of $25 for visits to the doctor's offices. Suppose you go through the year with no medical bills at all. What is your total cost for the year?
$4800 (no medical bills, you only pay the premium)
Use 9-point bins (91 to 99, 82 to 90, etc.) to make a frequency table for the data set below. Include columns for relative frequency and cumulative frequency. 66 69 71 76 83 68 74 95 97 93 73 88 80 94 73 72 76 71 94 70
Complete the table. (Type integers or decimals rounded to the nearest tenth as needed.) Data Frequency Relative frequency Cumulative frequency 91 to 99 5 25% 5 82 to 90 2 10% 7 73 to 81 6 30% 13 64 to 72 7 35% 20 Total 20 100% 20
In the savings plan formula, assuming all other variables are constant, what happens to the accumulated balance in the savings account?
It increases as n increases. As n increases, the denominator decreases and the exponent in the numerator increases. This makes the accumulated balance increase.
Suppose you deposited $40 per month into a savings plan for 5 years and at the end of that period your balance was $20 comma 700. What was the amount you earned in interest?
It was $18 comma 300. Calculate the amount deposited over 5 years and then subtract it from the balance of $20 comma 700.
You want to find the median weight of the apples in a barrel. What do you need to do?
Lay the apples out in order of increasing weight and find the weight of the apple in the middle. The definition of median is the middle value in a sorted data set.
With the same term and amount borrowed, what will a loan with a higher APR have?
There will be a higher monthly payment than a loan with a lower APR because a higher APR means a greater amount of interest paid each month.
What is the decimal form of 180%?
1.80
A survey asks students to state how many sodas they drink per week. The results show a mean of 1313 sodas per week and a median of 99 sodas per week. What can be concluded?
At least one student drinks more than 17 sodas per week. An outlier value that is higher than most of the other values would explain why the mean is higher than the median.
The 2014 population of a certain state was approximately 42.7 million. The 2009 population was approximately 31.2 million.
The 2014 population of the state was 136.9% of the 2009 population.
The 2014 revenue for Company A was $310 million, compared to $443 million for Company B.
The 2014 revenue for Company A was 70% of the revenue for Company B.
Find the absolute change and the relative change in the following case. The average sale of a house decreased from $327 comma 000 in February 2008 to $162 comma 000 in February 2013.
The absolute change is negative 165000. (Simplify your answer. Type an integer or a decimal.) The relative change is negative 50.5%. (Type an integer or decimal rounded to the nearest tenth as needed.)
Find the absolute change and the relative change in the following case. The number of commercial radio stations playing a particular genre of music decreased from 723 in 2005 to 353 in 2015.
The absolute change is select: -370 negative 370. (Simplify your answer. Type an integer or a decimal.) The relative change is negative 51.2%. (Type an integer or decimal rounded to the nearest tenth as needed.)
Express the following number as a decimal and as a percentage. one fifth 1/5
The decimal equivalent of one fifth is select: .2 . 2. The percentage equivalent of one fifth is 20%.
The gestation period of horses (336 days) is _____ percent longer than the gestation period of pigs (115 days).
The gestation period of horses (336 days) is select: 192.2 192.2 percent longer than the gestation period of pigs (115 days).
Consider the statement "The interest rate on auto loans has increased 50% over the past decade and now stands at 15%." What can you conclude?
The interest rate a decade ago was 10% because 50% of 10 is 5, and 10+5=15.
In the loan payment formula, assuming all other variables are constant, the monthly payment does what?
The monthly payment increases as P increases. As the amount borrowed increases, the numerator of the PMT equation becomes larger and thus, the PMT increases.
In a certain year, economists projected that a certain government would have a surplus of $5.5 trillion. This projection never materialized. What is the most likely reason for this incorrect projection?
The people who made this projection based it on assumptions about the future economy that turned out to be untrue. These assumptions included highly uncertain predictions about the future of the economy, future tax rates, and future spending.
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. My bank increased the interest rate on my savings account 100%, from 1.8% to 3.6%.
The statement makes sense because if the interest rate increased by 100%, to 3.6%, then the previous rate was 1.8%, which makes sense.
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The rate of return on our fund increased by 50%, to 15%.
The statement makes sense because if the rate of return on our fund increased by 50%, to 15%, then the previous rate is 10%, which makes sense.
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. Your pie chart must be wrong, because when I added the percentages on your wedges, they totaled 124%.
The statement makes sense because pie charts are used primarily for relative frequencies, so the total pie must always represent the total relative frequency of 100%.
Decide whether the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. The relative frequency of B grades in our class was 0.3.
The statement makes sense. Suppose there were 20 people in the class. If 6 received Bs, then the relative frequency of B grades was StartFraction 6 Over 20 EndFraction equals0.3.
The interest rate on my student loan is only 7%, yet more than half of my payments are currently going toward interest rather than principal.
The statement makes sense. The portions of installment loan payments going towards principal and toward interest vary as the loan is paid down.
Determine whether the following variable is qualitative or quantitative, and explain why. The flavors of ice cream sold at a delicatessen
The variable is qualitative because flavors are nonnumerical categories.
Determine whether the following variable is qualitative or quantitative, and explain why. Home prices in a small town
The variable is quantitative because price is a numerical category.
One hundred students take a chemistry exam. All but two of the students score between 5252 and 7979 points, but one student gets a 2323 and one student gets a 9494. What do the scores 2323 and 9494 represent?
They represent outliers. One is much lower than most of the values, and one is much higher than most of the values.
Clint's salary increased from $20 comma 000 to $32 comma 000 over a three-year period. Helen's salary increased from $27 comma 000 to $43 comma 200 over the same period. Whose salary increased more in absolute terms? In relative terms? Explain.
Whose salary increased more in absolute terms? Select the correct choice below and fill in the answer box(es) to complete your choice. A. Helen's salary increased more, because her salary increased by $ 16,200. This is more than $ 12000, the amount that Clint's salary increased. Your answer is not correct.B. Clint's salary increased more, because his salary increased by $ nothing. This is more than $ nothing, the amount that Helen's salary increased. C. Neither person's salary increased more, because both of their salaries increased by $ nothing. Whose salary increased more in relative terms? Select the correct choice below and fill in the answer box(es) to complete your choice. A. Helen's salary increased more, because her salary increased by nothing%. This is more than the percent increase of Clint's salary, which is nothing%. B. Clint's salary increased more, because his salary increased by nothing%. This is more than the percent increase of Helen's salary, which is nothing%. C. Neither person's salary increased more, because both of their salaries increased by 60%.
Group all the data into bins 0.2 of a grade point wide. It is very likely that small ranges of GPAs would be easier to analyze than the individual GPAs would be.
You have a list of the GPAs of 100 college graduates, precise to the nearest 0.001. You want to make a frequency tables for these data. A good first step would be to
A bar graph would be most appropriate because the goal is to compare the numbers of visitors that go to the attractions. A bar graph could do this because it uses a set of bars to represent the frequency of each category.
You have a table listing ten tourist attractions and their annual numbers of visitors. Which type of display would be most appropriate for these data? Explain your reasoning.
You are trying to measure the outside temperature at a particular time. If you use three thermometers and place all three in direct sunlight, the sunlight is likely to cause your measurements to suffer from what kind of error?
Your measurements will suffer from systematic errors because the sunlight affects all measurements in the same way by making them too high by the same amount.
Use 4-point bins (96 to 99, 92 to 95, etc.) to make a frequency table for the set of exam scores shown below. Include columns for relative frequency and cumulative frequency. 77 89 81 91 86 81 78 91 89 93 99 84 82 99 91 97 79 93 78 85
https://cdn.discordapp.com/attachments/525105665308491778/624305508911677471/Screen_Shot_2019-09-19_at_11.05.01_AM.png Complete the frequency table below. Scores Frequency Relative Frequency Cumulative Frequency 96 to 99 3 15% 3 92 to 95 2 10% 5 88 to 91 5 25% 10 84 to 87 3 15% 13 80 to 83 3 15% 16 76 to 79 4 20% 20