Mathematical Reasoning Questions and Answers

Suppose a man took out a 30 year loan with an annual rate of 9 to put an addition on his house His banker encouraged him to put other expenses into the loan if he wished so he increased the loan in order to purchase furniture a new car and a computer Suppose the computer cost 1 100 Assume that the loan is an add on loan to calculate parts a and b a What was the amount of interest that he paid on the computer part of his loan b What was the total cost of his computer a The total interest is Simplify your answer

James is creating a design on his paper using a reflection tool called a MIRA He reflects the design over a line m and then reflects that image over line n Lines m and n are perpendicular Describe a single transformation that would also map the starting image to the very final image a translation along the line m b reflection across the line n c rotation of 90 about the Point A d rotation of 180 about the Point A n M pa Finish A Sta

D Question 9 Which conclusion logically follows the true statements If negotiations fail the baseball strike will not end If the baseball strike does not end the World Series will not be played O If negotiations fail the World Series will be played O If negotiations fail the World Series will not be played O If negotiations do not fail the baseball strike will not end O If the baseball strike ends the World Series will be played Question 10

Answer the following questions by representing each argument with symbols state the law of logic being used if any and then determine if the argument is valid or invalid Law of Detachment Law of Syllogism Law of Contrapositive or invalid If you do your homework then you can watch TV If you watch TV then you can watch your favorite show If you do your homework then you can watch your favorite show If you miss practice the day before a game then you will not be a starting player in the game You miss practice on Tuesday You will not start the game Wednesday B If 21 and 22 are vertical angles then 21 22 If 21 22 then mx1 mx2 If 21 and 22 are vertical angles then mx1 mX2

Write the statement using symbols Let p be you live in the city of Nashville and let q be you live in Virginia If you do not live in Virginia then you do not live in the city of Nashville Op q Op q O p q Oq p 09 p O q p Submit Answer

Suppose K K and K3 are three independent and unbiased estimators of Their variances are in the ratio of 6 8 2 Z and Z3 are three other estimators of such that Which among Z Z and Z3 are unbiased estimators of OA Z Z and Z3 are all biased OB Z and Z3 are unbiased but Z is biased OC Z and Z3 are unbiased but Z is biased OD Z Z and Z3 are all unbiased Which among Z Z and Z3 would be the best estimator for OA Sufficient information is not provided to determine which estimator would be the best OB Z should be chosen since it is both unbiased and has the least variance OC Z should be chosen since it is both unbiased and consistent bo obogen since they are unbiased and have the least variances Z Z Z3 3K K K3 5 K 3K K3 5 K K 3K3 5

h is the contrapositive of the statement below If you do your homework then you will be prepared for the test If you are prepared for the test then you did your homework If you are not prepared for the test then you did not do your homework If you do not do your homework then you will not be prepared for the test If you do your homework then you will be prepared for the test

O 5 A surveyor determined the value of an area of land over a period of several years since 1950 The land was worth 31 000 in 1954 and 35 000 in 1955 Use the data to determine an exponential model that describes the value of the land

Select the three prepositional phrases Spanning 17 098 242 square kilometers of land and water Russia is the largest nation on earth followed by Canada the United States China and Brazil

A college requires all incoming freshmen to live on campus The college has two freshman dormitories East and West For an upcoming school year there are 800 Incoming freshmen Which method evenly assigns the students to the two dormitories so that each Incoming freshman has a fair chance of being selected for either dormitory OA B Using a random number generator assign each incoming freshman a number eliminating any duplicate numbers Assign each Incoming freshman with a positive number to East dormitory and assign each incoming freshman with a negative number to West dormitory D Using a two sided coin flip a coin for each incoming freshman If the coin lands on heads assign the freshman to East dormitory If the coin lands on tails assign the freshman to West dormitory OC Using a random number generator assign each incoming freshman a number eliminating duplicate numbers After each incoming freshman is assigned a number list the assigned numbers in ascending order Assign the first 400 numbers on the list to East dormitory and assign the last 400 numbers on the list to West dormitory Using a random number generator assign each incoming freshman a number eliminating any duplicate numbers Assign each incoming freshman with an even number to East dormitory and assign each freshman with an odd number to West dormitory

Calculate the unit price to the nearest tenth of a cent and determine the better or best buy based on price alone 1 Theo Berken wants to purchase some batteries The cost of a 6 pack is 5 97 an 8 pack is 7 97 and a carton of four 4 packs is 9 97

Drag each label to the correct location on the table A local caf serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack The given frequency table shows the results of the survey If approximately 24 of the customers surveyed have a scone with their tea and approximately 36 of the customers surveyed buy a muffin complete the column and row headings for the given table Muffin Coffee Cookie Total Tea 40 120 160 Scone 100 80 180 110 50 160 Total 250 250 500

Consider the following argument 1 Statement Athletes are in good shape 2 Statement Alex is not in good shape 3 Conclusion Alex is not an athlete Is the above argument valid Decide by drawing an Euler diagram Select the correct answer below O The argument is valid O The argument is invalid mation to determine if the argument is valid or invalid

Mark s science club sold brownies and cookies to raise money for a trip to the natural history museum This table shows how many baked goods they sold in the morning and in the afternoon Morning Afternoon Brownies Cookies Total sales 40 32 20 25 What was the price of each item Brownies cost 74 00 43 75 each and cookies cost each

Consider the following pattern. 1◆15 = 15 11◆15=165 111◆15 = 1665 1111◆15 = 16665 Predict the result of 111111 ◆ 15

A doctor is studying the effects that the amount of junk food has on blood pressure. As each patient enters his office, he/she fills out a survey about junk food. The doctor then takes the blood pressure of each patient. Is this an experimental or observational study? Explain your reasoning.

Select the correct answer. What is the key feature of the third-person omniscient point of view? A. It is told from the point of view of a specific character in the story. B.It is used to express the thoughts and feelings of the central character. C.It is used when directly addressing the reader or giving instructions. D. It has an all-knowing narrator who is aware of all the characters' perspectives.

The enrollment at a local business school has been decreasing linearly. In 2002, there where 970 students enrolled. By 2007, there were only 710 students enrolled. Determine the average rate of change of the school's enrollment during this time period, and write a sentence explaining its meaning.

In the year 2019, 14% of the college students said they didn't like their roommate. Suppose that several people took random samples of 150 college students from the population and computed the percent of students who didn't like their roommate. What would be the shape of the sampling distribution? skewed left uniform approximately normal skewed right

Nancy's car cost $14,400. She has enough money to make a down payment of $5,000. Her monthly payments are $210 for 48 months. How much greater is the deferred price than the original price? $4,320 $860 $10,080 $680

Determine whether the variable is qualitative or quantitative. Explain your reasoning. Age of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because age describes an attribute or characteristic. B. The variable is quantitative because age is found by measuring or counting. C. The variable is qualitative because age is found by measuring or counting. D. The variable is qualitative because age describes an attribute or characteristic.

Jan Ruell invested $32,000 in a business. She was to receive 5% on her original investment and share equally in any remaining net income. Her share of the remaining net income last year was $10,130. What were her total earnings for the year?

The problem describes a debt to be amortized. (Round your answers to the nearest cent.) A man buys a house for $370,000. He makes a $150,000 down payment and amortizes the rest of the purchase price with semiannual payments over the next 7 years. The interest rate on the debt is 9%, compounded semiannually. (a) Find the size of each payment. (b) Find the total amount paid for the purchase. (c) Find the total interest paid over the life of the loan.

If n + 1 integers are chosen from the set {1, 2, 3,..., 2n}, where n is a positive integer, must at least one of them be even? To answer this question, let S = {1, 2, 3,..., 2n}, where n is a positive integer, and note that in S there are exactly _____ number of odd integers in T, it is ______ odd integers. Since n + 1 is _____ v for at least one of the elements of T to be even. Thus, the answer to this question is _____

Which of the following is true for Walter Gropius? (Select all that apply) □ a. Gropius envisioned that workshop projects would attract commissions or production licenses □ b. Gropius arranged painters such as Paul Klee and Wassily Kandinsky to teach principles of form □ c. In Staatliches Bauhaus he created a new type of institution dedicated to training students in all aspects of de □ d. He firmly believed that fine art came through mastery of craft □ e. Gropius believed that students do not need to be given manual instructions in craft workshops □ f. He saw the curriculum of the Bauhaus as a continuation of the Beaux-Arts training

A plan for a baseball diamond is drawn in a coordinate plane. The baseball diamond is in the shape of a square with vertices in the coordinate plane represents 1 ft. What is the approximate at approximately (0, 64), (64, 0), (0, -64), and (-64, 0). One unit area of the baseball diamond? Show your work.

Find the constant of variation & for the inverse variation. Then write an equation for the inverse variation. y= 2.5 when x = 9 3.6 k=3.6: y=- k = 22.5; xy = 22.5 k = 22.5; y = 22.5× k= 3.6; xy = 3.6

Find the statistic in the following situation. One thousand students were recently surveyed about shopping. Fourteen percent of the sampled students reported that they shopped regularly. True proportion of students that shop 1000 14% Total number of students that shop

The term cash does not include a. money on deposit that is available for unrestricted withdrawal. b. notes receivable. c. money orders. d. checks.

If $1200 is invested at 4.5% annual interest, compounded continuously, when is it worth $30,000? Round your answer to three decimal places. The investment is worth $30,000 in i 73.12

A robot's body is made up of a rectangular prism with side lengths 48 inches by 24 inches by 36 inches. The head is made up of a cylinder with a height of 24 inches and a radius of 6 inches. What is the volume of the robots head and body in cubic feet? 250.08 ft3 25.57 ft3 51.15 ft3 37.68 ft3

Serial Killer The Murder Accountability Project has compiled a database of homicides in the United States from 1976-2017. This data set includes record: ID of the incident given as an integer number age of victim: in years age of perpetrator: in years sex: 1 female, 0 = male ethnicity of victim(s) ethnicity of perpetrator weapon used Which of the following variables is quantitative? sex age of victim record

John wants to prepare a sandwich. He has 4 choices for the type of bread, 5 choices for the meat, and 3 choices for dressing. How many different sandwiches can John prepare? Show you work and answer in the text box given below.

A robot's body is made up of a rectangular prism with side lengths 4 feet by 2 feet by 3 feet. The head is made up of a cylinder with a height of 2 feet and a radius of 6 inches. What is the volume of the robots head and body in cubic feet? 25.57 ft^3 250.08 ft^3 37.68 ft^3 51.15 ft^3

A mineral sample is found to have a density of 3.0 grams per cubic centimeter. It is then broken into two pieces, with one piece twice as large as the other. The smaller of the two pieces will have a density of: A) 6.0 g/cm3 B) 3.0 g/cm3 C) 1.5 g/cm3 D) 1.0 g/cm3

From the table below, determine whether the data shows an exponential function. Explain why or why not. No; the domain values are at regular intervals and the range values have a common factor 0.25. No; the domain values are not at regular intervals although the range values have a common factor. Yes; the domain values are at regular intervals and the range values have a common factor 4. Yes; the domain values are at regular intervals and the range values have a common factor 0.25.

In an early essay draft, a student offers the following as his thesis statement: McDonald's new ad campaign for its "Healthy Choices" menu features images of happy children because the restaurant chain is trying to draw attention away from its role in depleting the rainforest. Which of the following represents the most serious problem with the claim here? The claim doesn't address why analyzing the ad campaign matters. The claim doesn't address why readers should care about McDonald's new ad campaign. The claim doesn't offer proof that McDonald's is depleting the rainforest. The claim isn't logical; why would happy children draw attention away from McDonald's environmental role?

You intend to conduct a goodness-of-fit test for a multinomial distribution with 7 categories. You collect data from 58 subjects. What are the degrees of freedom for the x^2 distribution for this test?

Does the following argument illustrate the Law of Syllogism? Given: If the power is cut, then the refrigerator will not work. If the refrigerator will not work, then the food will spoil. Conclude: If the power is cut, then the food will spoil. yes no

Write the negation of the conditional statement. If it is blue, then it is not a carrot. Choose the correct negation below. A. It is blue or it is a carrot. B. It is not blue and it is a carrot. C. If it is not blue, then it is a carrot. D. It is blue and it is a carrot.

The admission fee at an amusement park is $4.50 for children and $6 for adults. On a certain day, 258 people entered the park, and the admission fees collected totaled $1386. How many adults were admitted?

The amount of a sample remaining after t days is given by the equation P(t) = A 112 1.5 days 2.5 days 9.4 days 21.1 days ³. where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon- 222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

Solve the equation 45x³ +69x2 - 13x-5 = 0 given thaT -5/3 is a zero of f(x) = 45x³ +69x² - 13x-5.

Suppose you want to have $500,000 for retirement in 35 years. Your account earns 6% interest. How much would you need to deposit in the account each month?

You deposit $300 each month into an account earning 8% interest compounded monthly. a) How much will you have in the account in 30 years? b) How much total money will you put into the account? c) How much total interest will you earn?

You can afford a $850 per month mortgage payment. You've found a 30 year loan at 6% interest. a) How big of a loan can you afford? b) How much total money will you pay the loan company? c) How much of that money is interest?

A surveyor determined the value of an area of land over a period of several years since 1950. The land was worth $31,000 in 1954 and $35,000 in 1955. Use the data to determine an exponential model that describes the value of the land.

What does a false positive in a test for steroids mean? Choose the correct answer below. A. A person tested positive but did not actually take steroids. B. A person tested negative but actually took steroids. C. The test could not detect for sure whether or not a person took steroids. D. A person took steroids but did not get tested. E. A person tested positive and actually took steroids. F. A person tested negative and did not actually take steroids.

Describe the transformations of the graph of y = 5.2-2 +3 as compared to the graph of y = 2*.

Which of the following equations represents F(x) = x^4 shifted left 3 units and up 2 two units? A. F(x)=(x-3)^4 +2 B. F(x)=(x-3)^4 - 2 C. F(x) = (x+3)^4 - 2 D. F(x) = (x+3)^4 +2