Mathematical Reasoning Questions and Answers

True or False The following system of the compound propositions is consistent PAT qvp O True F

Write the given conditional statement in form if p then q and then state the converse contrapositive and inverse of it I go to the beach whenever it is a sunny day It is sunny when I go to the beach If I don t go to the beach then it is not sunny If it is not sunny I don t go to the beach If it is sunny then I go to the beach A Inverse B Contrapositive C Original implication D Converse

Have you ever experienced a time where a certain situation

Section 1 With two weeks left in the quarter your dinosaur of a ass final and there is no way you can get an extension ing it for the next few years of film classes you might n t exactly have the cash to pay for it so you charge it interest rate of 17 99 Assume the only charge you a You pay the minimum option of 3 per month no

Who should pay the tax e following graph gives the labor market for laboratory aides in the imaginary country of Episteme The equilib uilibrium number of laboratory aides is 150 opose the federal government of Episteme has decided to institute an hourly payroll tax of 4 on laboratory aid tax should be levied on the workers the employers or both in such a way that half the tax is collected from e the graph input tool to evaluate these three proposals Entering a number into the Tax Levied on Employers ur shifts the demand curve down by the amount you enter and entering a number into the Tax Levied on Wor hour shifts the supply curve up by the amount you enter To determine the before tax wage for each tax pro ge field until the quantity of labor supplied equals the quantity of labor demanded You will not be graded on a enter a value in a white field the graph and any corresponding amounts in each grey field will cha te Once you GE Dollars per hour 20 18 16 14 0 H Supply Demand Graph Input Tool Market for Laboratory Aides Wage Dollars per hour Labor Demanded Number of workers Demand Shifter Tax Levied on Employers 4 375 0 Labor Su Number Supply Sh Tax Levied Workers

9 Let R t be the proposition It rains at time t let P t be the proposition It pours at time t let F x be the proposition that x is a fool let C x be the proposition that x is clever For each of the following statements 1 Write out the quantified symbolic logical form of the compound proposition Give in English the informal negation of the quantified compound proposition and Write out the symbolic logical form of the negation of the compound proposition 2 3 a When it rains it pours b No fools are clever or all fools are clever c Sometimes it pours please use clear very handwriting

5 Using relational predicates e g L s m for say s likes m translate the following sentences into predicate logic Also give the negatives of each sentence and translate that into predicate logic as well a Every person who visits New York likes it b Everyone admires someone who admires everyone Vx3y A x y VzA y z Negative There is someone who doesn t admire anyone who admires everyone xy

3 Effects of rent control Rent controls require that landlords

2 Use truth tables to determine if is logically equivalent to p q q p 9 P

lick the icon to view the monthly principal and in A 621 42 B 748 87 C 725 63 D 703 05

The table shows the weekly income of 20 randomly selected full time students If the student did not work a zero was entered a Check the data set for outliers b Draw a histogram of the data c Provide an explanation for any outliers KITE a List all the outliers in the given data set Select the correct choice below and fill in any answer boxes in your choice A The outlier s is are Use a comma to separate answers as needed B There are no outliers TTTT 238 585 312 241 398 189 344 121 3466 573 234 69 429 J 263 447 447 449 0 555 0 dalalak

the lowest pipe as datum he energy from to to where where

2 points There are other ways that the USCIS could implement the law For example I mentioned in class that one natural solution would be to use a lottery to generate a single priority list and then apply the exemptions first processing rule Based on the application statistics from the previous question 483 927 applications of which 150 017 were reserve eligible if the US had continued using this same system single lottery exemptions first for FY 2023 how many advanced degree holders would be expected to receive visas Type your answer

A famous news anchor is tired of political reporting and decides to think seriously about running for the U S Senate estimating the probability of being elected as 60 Campaign expenditures are not a problem but the gain or loss of prestige could be The anchor estimates that if prestige can be quantified a win would be worth 100 prestige points and a loss would be represented by 50 prestige points A Draw the decision tree What should be done B How many prestige points should the anchor be willing to spend in order to know now how the election would turn out C There is no shortage of political advisors who would love to have this anchorperson for a client One in particular will charge 15 000 to offer an opinion of whether or not the race could be won In the past this advisor has given a positive opinion 75 of the time when the election was won and a positive opinion 10 of the time when the race was lost Draw the appropriate decision tree What should the candidate do What would the dollar amount of a prestige point have to be in order for the anchor to consider hiring this advisor Show your calculations

Bautista started biking to the study group traveling 9 mph after some time the bike got a flat so Bautista walked the rest of the way traveling 5 mph If the total trip to the study group took 7 hours and it was 51 miles away how long did Bautista travel at each speed

ow might the U S react to the results of the Chinese civil war

Tend to work ideas with others thenka Injoy being the attention 1 Are you outwardly or inwardly focused If you Cult be described as Could be described a kative ouligning fact Profer then you prefer E Extraversion focus on the reality of how things are Extraverted Introverted Pay attention to concrete facts and details Prefer ideas that have practical applications 1 S Uke to describe things in a specific literal way then you prefer S Sensing Tend think things through inside your head Would be the 2 How do you prefer to take in information If you Imagine the posities of how things could be Notice the big picture see how everything connects Enjoy ideas and o d concepts for their own sake What s Your Personality Type Use the questions on the outside of the chart to determine the four letters of your Myers Briggs type For each pair of letters choose the side that seems most natural to you even if you don t agree with every description ISTJ ISFJ INFJ INTJ then you prefer Introversion Like to describe things in a figurative poetic way then you prefer N Intuition ISTP ESTP ESTJ ISFP ESFP ESFJ ormal Myers Briggs Personality T Thinking J Judging P INFP ENFP ENFJ INTP ENTP ENTJ 3 How do you prefer to make decisions If you triny finding argumen CAM then you prefer T Thinking 4 How do you prefer to live your outer life Prafer to have matters Prefer to leave your open s dead Sexible Uke to improvise things up as you Are spontaneou surprises and n then you Think nules and deadlines should be respected Prefer to home detailed step by step instructions Makar plans want to know what you re getting into then you prefer J Judging then you prefer F Feeling ow could this information help you in school or in your interactions with teachers F Perce

st estimate glasses of Solution 0201 18 Harrison creates balloon animals for differ C 6 440 balloons He wants to use the same Veach of 28 events How many balloons ca BE Cevent Circle the letter of the correct answ SK 23 B 203 C 230

Depreciation Exercise Consider a car bought at 40 000 that depreciates exponentially losing value at a rate of 20 per year Write a model that will give the value of the car each year Complete the table of values for 12 years 1 Write the exponential model that could help you calculate the value for each year 2 Complete the table X year 0 1 2 3 4 5 6 7 8 9 10 11 12 Y Value 40 000 Amount of Decrease 0 3 How many years does it take for the value to reach half of its original value A quarter of its value A tenth of its value 4 How might all of this information influence your decision to buy a new car versus a used one Do you think that the value of all cars follows an exponential model Explain

If 1600 is invested for x years at 8 compounded quarterly the future value that will result is represented by the following equation S 1600 1 02 4x What amount will result in 4 years Round your answer to the nearest cent

You are to design an experiment to simulate shooting free throws for a player who makes 80 of her free throws on average a How could you do the simulation using a number of tiles drawn from a black bag b How could you do a simulation using the randint generator on a calculator hint what numbers would you assign for what outcome

1 A family of k members is planning to have a birthday party for a two year old baby Each member buys a gift in a department store with n items n k Assume that each buy their gift independent of each other a Let Pk P there is the same gift and A be the event that all k gifts are different so that Pk 1 P A Find P AK

Aug 12 Sold 750 shares of Isaacson Co stock for 32 per share Oct 31 Received dividends of 0 50 per share on Tett Co stock Dec 31 At the end of the accounting period the fair value of the remaining 600 shares of Tett Co s stock was 110 per share The fair value of the remaining 1 750 shares of Isaacson Co s stock was 30 per share urnalize the entries for these transactions If an amount box does not require an entry leave it blank Feb 24 Investments Tett Co Stock Cash May 16 Investments Isaacson Co Stock Cash July 14 Cash Gain on Sale of Investments Investments Tett Co Stock Aug 12 Cash Loss on Sale of Investments Investments Isaacson Co Stock Oct 31 Cash Dividend Revenue Dec 31 Valuation Allowance for Equity Investments 85 000 0 92 500 0 40 800 0 24 000 3 750 0 300 0 15 000 X 0 85 000 92 500 0 6 800 34 000 0 27 750 0 300 0

4 000 3 000 2 000 1 000 0 Harvard University of University of Michigan Florida University Source http colleges usnews rankingsandreviews com Part 0 2 Ohio University Part 1 of 2 a Estimate the area of the campus of Harvard University Princeton University

etermine the monthly principa ortgage when the amount fin ercentage rate APR is 7 0 The monthly principal and inte Round to the nearest cent as

SE 25 Bb 125 15 Bb https www webassign net web Student As Let p Prices will rise q Taxes will rise Translate a Prices will rise or taxes will not rise O PAq Opv q OPA q Opva O pvq Opnq O p va Opn g b Prices will rise and taxes will not rise Opv q O PAq

wing example Explain your answer An HMO does a follow up study on 1874 randomly selected patients given a flu shot None of these people became seriously ill with the flu The study concludes that all HMO patients be urged to get a flu shot in order to prevent a serious case of the f Choose the correct answer below OA It is inductive reasoning because a general conclusion is drawn based on specific observations OB It is inductive reasoning because the flu is epidemic If someone does not take the flu shot there is a great possibility for that person to catch a serious case of the flu OC It is deductive reasoning because a general conclusion is drawn based on specific observations OD It is deductive reasoning because additional information may prove that other patients may not have taken the flu shot and still did not catch a serious case of the flu

Figure 7 4 Warm Front 3 Based on the diagram of air masses in Figure 7 1 where would you most likely see these fronts developing in the United States It is important to remember that warm air is typically less dense than cold air Thus when they are forced towards each other in either a warm or a cold front the cold usually dry dense air will remain at the surface and the warm humid air will rise That rising humid air cools as it rises condensation occurs and clouds form which may lead to precipitation The speed and severity of rising will vary based on the presence of a cold front Figure 7 5 or a warm front Figure 7 6

The balance sheets at the end of each of the first two years of operations indicate the following Kellman Company Year 2 Year 1 600 400 567 500 68 700 42 900 894 700 624 800 115 000 85 400 Total long term liabilities 313 400 232 100 Preferred 9 stock 100 par 83 600 83 600 Common stock 10 par 540 700 540 700 Paid in capital in excess of par common stock 68 900 68 900 Retained earnings 442 200 224 500 Using the balance sheets for Kellman Company if net income is 107 400 and interest expense is 47 700 for Year 2 what is the return on common stock equity for Year 2 round percent to two decimal points Total current assets Total Investments Total property plant and equipment Total current liabilities a 13 34 b 12 88

Question 3 Read this paragraph from Why I Use Trigger Warnings But trigger warnings have been adapted to serve a sub like me simply give students notice in their syllabuses let alone encourage students to skip these reading mandatory in my courses absent a formal exemption prepare themselves for reading about them and better

2 A marketing class polled 150 people at a shopping center to determine how many read the Daily News and how many read the Weekly Gazette They found the following 126 read the Daily News 31 read both and 10 read neither What is the probability that a randomly selected person in this study read the Weekly Gazette

View Policies Current Attempt in Progress Johnson Enterprises uses a computer to handle its sales invoices Lately bu night plus every third Saturday to keep up with the volume of sales invoice faster model that would eliminate all of the overtime processing Original purchase cost Accumulated depreciation Estimated annual operating costs Remaining useful life Current Machine 15 100 6 500 24 600 5 years New Machin 25 400 20 000 5 years If sold now the current machine would have a salvage value of 13 400 If machine would have zero salvage value The new machine is expected to h Prepare an incremental analysis to determine whether the current machin expenses as positive amounts and any amounts received as negative amounts

financial statements Perpetual system LO The following Information applies to the questions displayed below Powell Company began the Year 2 accounting period with 19 100 cash 61 400 Inventory 48 000 common stock and 32 500 retained earnings During Year 2 Powell experienced the following events 1 Sold merchandise that cost 38 000 for 75 700 on account to Prentice Furniture Store 2 Delivered the goods to Prentise under terms FOB destination Freight costs were 365 cash 3 Received returned goods from Prentice The goods cost Powell 1 930 and were sold to Prentise for 3 990 4 Granted Prentise a 160 allowance for damaged goods that Prentise agreed to keep 5 Collected partial payment of 53 000 cash from accounts receivable Exercise 4 16A Algo Part a Required Record the events in general Joumal format If no entry is required for a transaction event select No journal entry require The first account field Vww traction w Journal entry worksheet A B C D Note Enter debits tefore credits Event 14 E F Sold merchandise for 75 700 on account to Prentise Furniture Store Deneral Journal G Debit Creat

Economic imperialism results when O an international corporation purchases U S corporations to control all supply inputs a national corporation purchases foreign corporations to establish a dominant market position O a dominant nation seizes political control in order to control natural resources O a strong nation exerts economic influence over a weaker nation by economic means Complete Later Complete

were as follows Units sold Selling price per unit Variable cost per unit Fixed cost per unit 8 800 20 000 95 78 52 21 Net profit with products C D Net profit with products C E D S For purposes of simplicity the firm averages total fixed costs over the total number of units of C and D produced and sold The research department has developed a new product E as a replacement for product D Market studies show that Tharp Company could sell 11 200 units of E next year at a price of 113 the variable cost per unit of E is 40 The introduction of product E will lead to a 12 increase in demand for product C and discontinuation of product D If the company does not introduce the new product it expects next year s results to be the same as last year s Compute company profit with products C D and with products C E S 42 21 two products C and D Production and sales results for last year Should Tharp Company introduce product E next year

2 a b Rasheed wants to buy a car His options for exterior colour are blue red silver or black His options for interior colour are tan grey or red The upholstery can be either leather or cloth In how many different ways can Rasheed style his car Draw a tree diagram to illustrate all the possible results from part a Label it to indicate what each part means

A group of 12 lockers are in the hallway If the doors to the lockers can be either open or closed how many arrangements can be made

Match the appropriate letter of the word in the word bank with the correct definition Choose the correct answer choice below Word Bank A Cyclical Unemployment B Structural Unemployment C Seasonal Employment D Frictional Your Answer Choice Unemployment D A B C O B D A C O D B A C OBYOYOYO Definition Occurs when new technologies or new discoveries are made that change an industry Temporary unemployment for people between jobs people voluntarily looking for new jobs or people being trained for other jobs Associated with the normal ups and downs in the economy Caused by changes of seasons such as retail stores that hire more people for the holiday season and then lay off the workers 4

A student measures the weight W in kg and running speed S in m s of three breeds of dog as W S 9 4 W2 S 14 8 and W3 S3 21 10 a Calculate the best fit line for these data using least squares regression b Use your model to predict the speed of a dog that weighs 30kg

An augmented matrix for a system of linear equations in x y and z is given Find the solution of the system 100 010 1 2 001 5 x y z 1

Consider the following proposition p V q r Which propositions below are equivalent to the above proposition Select all that apply A p q r B p q r O C p V qVr D p qVr O E pV gr OE p V q r

Let Q z be the predicate 1 2x If the domain consists of all integers what is the truth value of the following statement O A True OB False 4 Q 1

Consider the following table of users at a fitness center Assume random selection Strength Training Gals Guys Total Room 33 32 65 Cardio Room Round to 4 decimal places 31 29 60 Total A Probability of a gal Give answer as a decimal with no rounding Round to 4 decimal places 64 61 125 B Probability of a guy if we know the person is in the strength training room I C Probability of the person being in the cardio room if we know the person is a guy

The manager at Soul Walk Inc a shoe manufacturing company wants to set a new price P for a shoe model to maximize total profit The demand D as a function of price is represented as D 1 500 2 5P The total cost C as a function of demand is represented as C 3 200 3 5D Which of the following is a model for total profit as a function of price 1 250 x price 5 x price2 8 320 3 5 x price2 3 200 1925 50 price 1 508 75 x price 2 5 x price2 8 450 O 4521 4 5 x price x price 9684 25

80 2 Sines to find the indicated side x Assume a

A traffic signal control is being designed for a four leg intersection on a divided highway with the characteristics shown in the table below G G Determine the minimum green times in s for each approach if the effective crosswalk width in each direction is 8 ft and the number of pedestrians crossing during an interval is 35 in the N S direction and 38 in the E W direction Assume the average speed of pedestrians is 3 5 ft s and that it is feasible to disregard the yellow change and red clearance intervals min N S min E W Median width ft Number of 12 ft lanes on each approach Design speed mph Grade S N S Approaches E W Approaches 16 12 3 2 50 40 0 3 S

below Y min N S Y Determine the minimum required length in s of the yellow interval for each approach Assume the average vehicle length is 20 ft and the perception reaction time d is 1 0 s Use the deceleration rate of 11 2 ft s recommended by AASHTO 4 6454 min Median width ft Number of 12 ft lanes on each approach E W Design speed mi h Grade N S Approaches 16 2 40 0 E W Approaches 12 1 35 4 Determine for how long you will provide the yellow interval Your response is within 10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate results to at least four digit accuracy to minimize roundoff error s 3 3154 X Your response differs from the correct answer by more than 10 Double check your calculations s

Depreciation means a decline in the dollar value of a purchase since it was bought Which major consumer purchase is associated with the term depreciation Home O Vehicle Diamonds O None of the choices

Your friend Sam wants to paint her room She wants to paint the celling white and the four walls purple You are helping Sam determine the cost and the amount of time needed to paint her room to ne roomate The room is shaped like a rectangular prism with a height of 8 feet length of 12 fest and width of 10 feet as shown 1654 vien the sons Eleate sphedule for your class so 12 3 352 COBIS 8 ft 1 4 7 0 Additional Information about Sam s room The door has an area of 22 square feet The room has 2 square windows Each window opening Is 2 feet by 2 feet 183700 What is the area in square feet of the ceiling 2 3 5 6 8 9 12 ft 10 ft 1 gior Passage 183701 Sam needs to figure out how much purple paint to buy Calculate for her the total area in square feet of the four walls

PHONEY 126119 Auscaped ces Students at City Middle School will rent a popcom machine for a school event The event will last 6 hours companies rent popcorn machines por suency acte Company A charges 10 per delivery and 6 per hour For Company B the linear relationship between hours and cost is shown in the table tal and Chalce Number of Hours Cost 2 5 3 4 24 31 38 45 What is the cost in dollars to rent the machine from Company A for 6 hours Enter your answer in the first response box 2 What is the cost in dollars to rent the machine from Company B for 6 hours Enter your answer in the second response box 4