Mathematical Reasoning Questions and Answers

Complete the following hexadecimal counting sequence FC FD FE FF O FG O AA O 100

Enter the matrix B Then use the qr command to find the QR factorization of B storing the orthogonal matrix in QB and the upper triangular matrix in RB Note that while the focus of the last section of the zyBook was on square matrices QR factorization can be done for any size matrix

You would use the short acting insulin and 56 units of Intermediate acting Insulin capacity syringe to administer a combination dose of 5 units

She last provider gives the medication This violates the basic right of the right administration 1 Time Question 12 a dose at 1400 and it is now 1630 The healthcare for medication To promote accuracy and safety the medication label should be checked medication is administered to the patient SEGU 1 pts before the

counts Receivable Supplies Office Equipment Accounts Payable Common Stock ained Earnings Dividends Fees Earned Rent Expense Advertising Expense ties Expense Miscellaneous Expense Transactions 1 Oct Paid rent for the month 2 500 Paid advertising expense 600 5 Paid cash for supplies 1 200 www348NGGA Purchased office equipment on account 9 200 Received cash from customers on account 15 900 20 Paid creditor on account 3 410 Paid cash for miscellaneous expenses 550 27 30 Paid telephone bill for the month 400 31 Fees earned and billed to customers for the month 50 170 Paid electricity bill for the month 830 31 Paid dividends 1 850 ASSETS CHART OF ACCOUNTS Innovative Consulting Co General Ledger 11 Cash 12 Accounts Receivable 13 Supplies 14 Office Equipment LIABILITIES 21 Accounts Payable EQUITY 31 Common Stock 32 Retained Earnings REVENUE 41 Fees Earned EXPENSES 51 Rent Expense 52 Advertising Expense 53 Utilities Expense 54 Miscellaneous Expense Journalize the transactions for October 20Y2 in a two column journal Refer to the Chart of Accounts for account titles 1 2 3 4 5 6 7 8 9 10 DATE JOURNAL DESCRIPTION POST REF DEBIT CREDIT ACCOUNTING ASSETS LIABIL 4

Which box and whisker plot represents this data 6 7 9 9 20 22 26 28 29 305 C O 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 24 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 2 2 4 4 6 8 10 12 14 16 18 20 22 24 6 8 10 12 14 16 18 26 28 30 32 34 36 38 20 22 24 26 28 30 32 34 36 38

Jon sells doors and is paid 650 per week plus a step commission based on his sales He receives 3 on sales up to the first 1 000 6 on sales between the next 1000 and 2000 and 15 on remaining sales over 2000 Last week he sold 2600 00 worth of doors How much did he make that week For the toolbar press ALT F10 PC or ALT FN F10 Mac

Referents are different words or phrases that stand for in a sentence or paragraph Which of the following are types of referents Choose all that apply restatements pronouns enumeration consequences

A special committee of 5 members is to be chosen from 6 freshman and 4 sophomores Find the number of ways in which this can be done if there are no restrictions Select one O a 120 O b 252 O c 30 240 Od 240

7 1 point The future value of an ordinary simple annuity can be calculated as the sum of a series of simple interest calculations

16 1 point RA bacterial colony with an initial population of 50 doubles every 5 h Which of the following equations models the exponential growth for time 1 in hours b C A 50 2 4 50 2 A 50 A 50

N N No No Cape Y Yes Tie Y Yes No Smoke Yes Bad Good Good Bad Based on this decision tree in what class does Batgirl belong Y 181

Use the following magic multiplication square to answer the following parts a c 8 4 128 256 2 16 64 1 32 a Verify that the three numbers in every row column and diagonal in the following square have the same product The product for each row is 4096 The product for each column is 4096 The product along both diagonals is 4096 b Write each number in the magic multiplication square as a power of 2 and then explain how the multiplication square can be obtained from a related magic addition square Select the correct choice below and if nece box that completes your choice A After rewriting the numbers using the same base 2 the sum of the bases for each row column and diagonal is B After rewriting the numbers using the same base 2 the sum of the exponents for each row column and diagonal is 12 C After rewriting the numbers using the same base 2 The numbers can be rearranged to form the same sum for each row column and diagonal That sum is c Create a magic multiplication table with the numbers 1 3 9 27 81 243 729 2187 and 6561 Three numbers have been entered as shown on the right Fill in the rest of the magic multiplication square 243 Points 0 3 of 1 9

According to behavioral finance markets are always O informationally inefficient informationally efficient O semi strong form efficient weak form efficient

IMPORTANT The questions you choose will be marked for Thinking and Communication according to the rubric provided You need to support your answers by including explanations of your reasoning and present your solutions effectively Choose ONE 1 of the following questions 1 George owns a business that sells parts for electronic game systems The profit function for his business can be modelled by the equation P x 0 5x 8x 24 where x is the quantity sold in thousands and P x is the profit in thousands of dollars 1 How many parts must George sell in order for his business to break even 2 How many parts must George sell in order for his business to make 7000 3 What was the maximum profit and how many part must George sell for reach the maximum profit 2 A colony of insects doubles every 10 days If the colony has 850 insects today how many are were present a in 30 days b 10 days ago c in 55 days d 14 days ago

9 Implied interest rate and period 6 09 8 26 Consider the case of the following annuities and the need to compute either their expec 9 45 of return or duration 7 00 Raul needed money for some unexpected expenses so he borrowed 4 234 01 from a f of 1 250 at the end of each year The agreement is offering an implied interest rate of agreed to repay the loan in four equal installments Raul s friend Nicholas wants to go to business school While his father will share some of the expenses Nicholas still needs to put in the rest on his own But Nicholas has no money saved for it yet According to his calculations it will cost him 30 044 to complete the business program including tuition cost of living and other expenses He has decided to deposit 4 200 at the end of every year in a mutual fund from which he expects to earn a fixed 7 rate of return It will take approximately for Nicholas to save enough money to go to business school

D i Use the direct proof technique to prove x odd and y odd x y eve ii Use the proof by contradiction technique to prove x rational and y irrational x y irrational

8 Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows You have the opportunity to invest in several annuities Which of the following 10 year annuities has the greatest present value PV Assume that all annuities earn the same positive interest rate An annuity that pays 500 at the end of every six months An annuity that pays 500 at the beginning of every six months An annuity that pays 1 000 at the beginning of each year An annuity that pays 1 000 at the end of each year An ordinary annuity selling at 10 538 38 today promises to make equal payments at the end of each year for the next twelve years N If the annuity s appropriate interest rate I remains at 6 50 during this time the annual annuity payment PMT will be You just won the lottery Congratulations The jackpot is 35 000 000 paid in twelve equal annual payments The first payment on the lottery jackpot will be made today In present value terms you really won assuming annual interest rate of 6 50

S Treasury yield curve is plotted in the following graph INTEREST RATE 5 7 3 2 0 5 10 15 25 30 20 YEARS TO MATURITY Based on an upward sloping normal yield curve as shown which of the following statements is correct O There is a positive maturity risk premium O Inflation must be expected to increase in the future O If the pure expectations theory is correct future short term rates are expected to be higher than cu thoopt must be correct

At the beginning of this year a manufacturer set its predetermined overhead rate using these estimates overhead costs 800 and direct materials costs 400 000 Actual costs for the year are 791 450 for overhead and 400 000 for direct materials Complete this question by entering your answers in the tabs below Required 1 Required 2 Required 3 Compute the predetermined overhead rate using estimated direct materials costs viremators Estimated overhead costs 800 0001 77321 400 000 Overhead rate 200

13 X 14 piece is 15 0 16 17 18 19 20 21 22 23 7 a In a certain board game players spin a spinner to determine how many spaces they advance The odds in favor of advancing five spaces are Finc the probability of advancing five spaces 5 0 24 b Michael has a box of candies with different flavors He will randomly choose one piece of candy The probability that he chooses a strawberry flavored What are the odds against him choosing a strawberry flavored piece 11 14 8 0 0 to

O COUNTING AND PROBABILITY Probabilities of draws with replacement A fair die is rolled 5 times What is the probability of having no 1 and no 2 among the rolls Round your answer to three decimal places 0 X 0 0 5

Find the derivative X 4 3x 2 3x 2 O A O B O C O D 9x 2 72x 44 3x 2 3x 2 9x 96x 44 3x 2 3x 2 9x 96x 44 3x 2 3x 2 9x 72x 44 3x 2 3x 2

Use the product or quotient rule or the generalized power rule to find the derivative of the function y 4x 5 x

A group of college students were asked about their TV watch ing habits Of those surveyed 30 students watch The Walking Dead 24 watch The Blacklist and 23 watch Game of Thrones Additionally 11 watch The Walking Dead and The Blacklist 13 watch The Walking Dead and Game of Thrones and 14 watch The Blacklist and Game of Thrones There are 8 students who watch all three shows How many students surveyed watched at least one of the shows

Some people are allergic to cats For the following questions Let X people P x be the predicate x is allergic to cats Write the statement in quantified form A Ex EX P x B Vx EX P x C Ex EX P x D Vx EX P x Negate the quantified statement A Ex EX P x B VxEX P x C VxEX P x D Ex EX P x Translate the negated statement into English A Everyone is allergic to cats B There exists someone that is allergic to cats C There exists someone that is not allergic to cats D Nobody is allergic to cats Answer s submitted

A donut shop offers twelve different varieties of donuts How many donuts must be selected to guarantee that there are at least 4 of the same type in the selection

me time it takes in hours to travel from bridge A to bridge B can be approximated by T v I plazas Find and interpret T 55 Find and interpret T 55 122 0 3v T 55 where v is the average velocity in mph while driving excluding periods when stopped

Match the story with the correct graph As the car drove faster the distance from its start is farther and farther Choose the graph below that best illustrates the story O A Distance traveled ime 57 E B Distance traveled Time 53 Distance traveled Time D Distance traveled Time

8 Calculate each indicated angle to the nearest degree and each indicated side to the nearest tenth of a unit a Given AABC ZB 90 a 4 9 m and c 6 5 m calculate ZA b Given AXYZ ZY 90 y 9 2 cm and z 4 7 cm calculate ZX

q P q the argument valid or invalid O Invalid O Valid

4 The minus sign The problem is that while a small business made a profit of 500 during the first quarter of their fiscal year they went into the red during the second quarter by the amount of 250 How much money has been made or lost by the pest control company as a whole Solution Calculate the remaining profit after deducting the loss 500 250 250

Find the derivative of the given function f x 6x5 2x x 3x 5

O True O False Stage some scenes and sequences Question 10 True 1 pts Many other studio directors of the silent era had long careers consistency a hallmark of their work including Fred Niblo the director of Ben Hur with assistance from B Reeves Eason for the classic historic and non CGI chariot race

Vintage Company reports the following Information Direct materials Direct labor Units produced per year Variable overhead Fixed overhead Product cost per unit using absorption costing 10 per unit 20 per unit 20 000 units Compute product cost per unit under absorption costing Product cost per unit 10 per unit 160 000 per year Per unit

The probability of flu symptoms for a person not receiving any treatment is 0 054 In a clinical trial of a common drug used to lower cholesterol 69 of 1190 people treated experienced flu symptoms Assuming the drug has no effect on the likelihood of flu symptoms estimate the probability that at least 69 people experience flu symptoms What do these results suggest about flu symptoms as an adverse reaction to t drug a P X269 Round to four decimal places as needed b What does the result from part a suggest OA The result x 260 is significantly high so the result suggests that the drug increases the likelihood of flu symptoms OB The result x 269 is not significantly high so the result suggests that the drug increases the likelihood of fu symptoms OC The result x 269 is significantly high so the result suggests that the drug has no effect on flu symptoms OD The result x 2 69 is not significantly high so the result suggests that the drug has no effect on flu symptoms

Find the APR rounded to the nearest tenth of a percent for the loan described below Purchase a living room set for 3 500 at 11 add on interest for 3 years

Evaluate the following residues a Res 24 21 d Res sin 0 COS b Res 2i e c Res 1 1 1 22 41 Res co 0 f Res cot z 0 Solution a By rule 4 b By rule 4 c By rule 4 d By rule 1 Res Res 1 z 4 1 2 4 Res F 25 2i 21 sin z 1 22 1 22 1 2 g Res 1 Log z h i z 2i 2 2i 1 524 Res 0 Res w 1 2 1 sin z 1 4i 1 4i 1 5 i 4 i 4

The figure to the right shows the total sales in thousands of dollars from the distribution of x thousand catalogs Find and interpret the average rate of changes of sales with respect to the number of catalogs distributed for the given changes in x a 15 to 25 b 25 to 35 c 35 to 45 d What is happening to the average rate of change of sales as the number of catalogs distributed increases a The average rate of change over 15 to 25 is 70 60 50 40 30 0 10 20 30 40 50 60 Number in thousands

7x 7 x X 7 7 x lim 1 in de eri ka t r B 0 C 1 D 7 E

view Beginning Work in Process Inventory Direct Materials Used Direct Labor Manufacturing Overhead Total Manufacturing Costs Incurred during the Year Total Manufacturing Costs to Account For Ending Work in Process Inventory Cost of Goods Manufactured Data table Boswell Inc 10 700 14 700 10 300 20 400 Manufacturing Overhead Total Manufacturing Costs Incurred during the Year Beginning Work in Process Inventory Direct Materials Used Direct Labor 56 100 4 900 51 200 45 400 Total Manufacturing Costs to Account For Ending Work in Process Inventory Rustic Gear 40 000 35 100 20 900 10 400 66 400 Boswell Inc 106 400 25 500 80 900 a 14 700 10 300 b 45 400 56 100 c 51 200 Flynt Corp Rustic Gear 2 300 1 800 200 7 400 2 000 d e 25 500 1 Flynt Corp 2 300 g 1 800 200 40 000 35 100 20 900 10 400 h 7 400 2 000 1

Click the icon to view the schedules Beginning Work in Process Inventory Direct Materials Used Direct Labor Manufacturing Overhead Total Manufacturing Costs Incurred during the Year Total Manufacturing Costs to Account For Ending Work in Process Inventory Cost of Goods Manufactured Boswell Inc 14 700 10 300 45 400 56 100 51 200 Data table Beginning Work in Process Inventory Direct Materials Used Direct Labor Manufacturing Overhead Total Manufacturing Costs Incurred during the Year Total Manufacturing Costs to Account For Ending Work in Process Inventory Cost of Goods Manufactured Boswell Inc Rustic Gear Flynt Corp S a 40 000 2 300 35 100 9 20 900 1 800 10 400 200 14 700 10 300 b 45 400 56 100 c 51 200 d e 25 500 0 h 7 400 2 000 1

Consider the following partially completed income statements for merchandising companies and compute the missing amounts EEE Click the icon to view the Income Statements Net Sales Revenue Cost of Goods Sold Beginning Merchandise Inventory Purchases and Freight In Cost of Goods Available for Sale Ending Merchandise Inventory Cost of Goods Sold Gross Profit Selling and Administrative Expenses Operating Income Rustic Gear 100 000 48 000 2 000 59 000 41 000 10 000 Data table Net Sales Revenue Cost of Goods Sold Beginning Merchandise Inventory Purchases and Freight In Cost of Goods Available for Sale Ending Merchandise Inventory Cost of Goods Sold Gross Profit Selling and Administrative Expenses Operating Income Rustic Gear Boswell Inc 100 000 d a 48 000 b 2 000 59 000 41 000 c 10 000 32 000 e 90 000 2 000 0 113 000 84 000 g I

The rifleman s aim is not perfect so your sketches should show more than one bullet hole 7 20 Targets Bias or Lack of Precision Again a If a rifleman s gunsight is adjusted correctly but he has shaky arms the bullets might be scattered widely around the bull s eye target Draw a sketch of the target with the bullet holes Does this show variation lack of precision or bias Explain how you can tell from the widths of the graphs which has the largest sample n 40 and which has the smallest sample n 10 JUL B amount Each dot in the dotplots represents the proportion of suc cess for one person For instance the dot in Figure A farthest to the right represents a person with an 80 success rate One dotplot rep TRY 7 33 What Is the Proportion of Seniors Example 5 resents an experiment in which each person had 10 trials another shows 20 trials and a third shows 40 trials population of college students is taking an advanced math cla the class are three juniors and two seniors Using numbers 1 3 to represent juniors and 4 and 5 to represent seniors sampl out replacement Draw a sample of two people four times or each of parts a b c and d and then fill in the following tab a Use the first line reprinted here from the random number tabl select your sample of two The selections are underlined 02779 72645 86009 C T T T 0 0 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 1 0 Sample Proportion 7 28 ESP Again In the graph for Exercise 7 27 explain how you can tell from the shape of the graphs which has the largest sample size and which has the smallest sample size 7 29 Standard Error Which of the dotplots given in Exercise 7 27 has the largest standard error and which has the smallest stan dard error 7 30 Bias Assuming that the true proportion of success for the trials shown in the graph for Exercise 7 27 is 0 2 explain whether any of the graphs shows bias 7 27 ESP A Zener deck of cards has cards that show one of five different shapes with equal representation so that the probability selecting any particular shape is 0 20 A card is selected randomly and a person is asked to guess which card has been chosen The graph below shows a computer simulation of experiments in which a person was asked to guess which card had been selected for a large number of trials If the person does not have ESP then his c her proportion of successes should be about 0 20 give or take som 7 31 Fair Coin One of the graphs shows the proportion of heads from flipping a fair coin 10 times repeatedly The others do not SECTION EXERCISES CHAPTER 7 7 32 Far from Fair Which of the graphs in Exercise 7 31 centered farthest from 0 50 32699 Report the percentage of seniors in the sample Count the num 4 s and 5 s and divide by the sample size 2 b Use the next line to select your sample of two 31867 85872 91430 45554 Report the percentage of seniors in the sample c Use the next line to select your sample of two 75250 75298 Report the percentage of seniors in the sample 07033 34546 d Use the last line to select your sample of two 09084 98948 Report the percentage of seniors in the sample 09541 80623 e Fill in the rest of the table below showing the results of the four samples Repetition 1 from part a 2 from part b 3 4 p Population Proportion of Seniors 2 5 0 4 p Sample Proportion of Seniors Error p 1 2 0 5 0 5 0 4 7 34 Simulation From a very large essentially infinite popu of which half are men and half are women you take a random with replacement Use the following random number table and

te the following argument into symbolic form Then determine whether the argument is valid or invalid Ollow the signs then you will go the right direction If you will go the right direction then you will not get lost Therefore if you follow the signs then you will me statement in symbolic form 1

Is the argument valid or invalid O Valid O Invalid GII

argument below perform the following nslate the argument into symbolic form ermine if the argument is valid or invalid Compare the argument to a standard form or use a truth table will go to college or I will go to trade school vill not go to college will go to trade school be I will go to college and let q be I will go to trade school Write the argument in symbolic form Choose the correct ans OB p q P p q P q GOOO pvq p q P OD pvq P P

ine whether the argument is valid or invalid You may compare the argument valid or invalid alid valid COCCOR

correct choice that completes the sentence below itional statement of the form premise 1 A premise 2 conclusion is not a tautology then the argument is a n

National Dispense Corporation Question 85 What is the days supply for the following prescription Humalog insulin U 100 10ml bottle Sig 25 u subQ TID AC 10 28 Question 86 patient asks you to special order an OTC item What should you say to the p