Mathematical Reasoning Questions and Answers

1 Consider the following grammar ScScc A AaaaAbb aaaDbb DddD d a Describe the language produced by this grammar in set notation i e L ie th same format used in other problems e g 2 below Briefly explain your reasoning b Come up with a PDA that accepts the same language

The National Transportation Safety Board collected data showing that 70 of all licensed drivers are older than age 25 Information on the age of n 50 individuals who recently received speeding tickets was sourced by a team of researchers interested in examining whether the age distribution of individuals who receive speeding tickets is different from the age distribution of licensed drivers Question What is the appropriate analysis to answer this research question and why

If you are trying to build credit by using a credit card each time you make a purchase with the credit card deduct that amount from your checking account That way when your credit card bill is due you will have enough to pay the credit card off in full Kathy Lehner is going to start doing this She plans on paying her credit card bill in full this month How much does she owe with a 9 APR and the following transactions Note Round your answer to the nearest cent 31 day billing cycle 10 1 10 3 Previous balance 1 175 Credit 68 Credit 10 12 Charge King Soopers 159 10 15 Payment 420 Credit 10 25 Charge Delta 332 10 30 Charge Holiday Fun 72

2 Suppose 1000 raffle tickets are sold at a price of 5 each Two first place tickets will be drawn with a prize worth 200 Five second place tickets will be drawn at a prize valued at 100 and ten third place tickets will be drawn at prize valued at 50 Find the expected value of the net gain to the consumer Note In this example X represents the net gain You have to be careful because this is a game you pay to play In other words if you win first prize you do not gain 200 you gain 195 because you paid for a ticket

There are some excellent free personal finance apps available Mint com Good Budget Mvelopes BillGuard PocketExpense HomeBudget and Expensify After using Mint com you realize you need to pay off one of your high interest loans to reduce your interest expense You decide to discount a 6 250 340 day note at 3 to your bank at a discount rate of 4 0 on day 220 What ar your proceeds Note Round your final answer to the nearest whole number Proceeds

Four candidates running for a vacant seat on the town council receive votes as follows Levan 219 Edelson 1617 Borowski 991 Callow 417 Determine whether any candidate earns a majority and determine who wins using the plurality method Is there a candidate who earns a majority Yes No Who wins the election using the plurality method OA Levan OB Callow OC Edelson OD Borowski

A researcher wishes to estimate with 95 confidence the population proportion of adults who think the president of their country can control the price of gasoline Her estimate must be accurate within 3 of the true proportion a No preliminary estimate is available Find the minimum sample size needed b Find the minimum sample size needed using a prior study that found that 34 of the respondents said they think their president can control the price of gasoline c Compare the results from parts a and b a What is the minimum sample size needed assuming that no prior information is available n Round up to the nearest whole number as needed b What is the minimum sample size needed using a prior study that found that 34 of the respondents said they think their president can control the price of gasoline n Round up to the nearest whole number as needed c How do the results from a and b compare OA Having an estimate of the population proportion reduces the minimum sample size needed B Having an estimate of the population proportion has no effect on the minimum sample size needed OC Having an estimate of the population proportion raises the minimum sample size needed

You randomly select and measure the contents of 10 bottles of cough syrup The results in fluid ounces are shown to the 4 216 4 297 4 253 4 245 4 188 right 4 201 4 262 4 242 4 227 4 237 Assume the sample is taken from a normally distributed population Construct 80 confidence intervals for a the population variance o and b the population standard deviation o Interpret the results a The confidence interval for the population variance is Round to six decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to six decimal place as needed 0 OA With 20 confidence it can be said that the population variance is less than OC With 20 confidence it can be said that the population variance is between and OB With 80 confidence it can be said that the population variance is between OD With 80 confidence it can be said that the population variance is greater than and b The confidence interval for the population standard deviation is D Round to four decimal places as needed Interpret the results Select the correct choice below and fill in the answer box es to complete your choice Round to four decimal place as needed OA With 80 confidence you can say that the population standard deviation is between and OB With 80 confidence you can say that the population standard deviation is less than inches inches OC With 20 confidence you can say that the population standard deviation is greater than OD With 20 confidence you can say that the population standard deviation is between and inches inches

An outcome is Pareto efficient Pareto optimal only if everyone prefers it to every other feasible outcome or is indifferent True or False

Let A 1 1 1 2 11 ER 4 1 a 4 marks For each ER find Cartesian equations for Col A and Null A

Find u v u v and d u v for the given inner product defined on Rn u 12 5 v 15 8 u v u v a u v b c u

On December 31 of the current year the unadjusted trial balance of a company using the percent of receivables method to estimate bad debt included the following Accounts Receivable debit balance of 98 000 Allowance for Doubtful Accounts credit balance of 1 041 What amount should be debited to Bad Debts Expense assuming 5 of outstanding accounts receivable at the end of the current year are estimated to be uncollectible Multiple Choice 4 900 1 041 3 859 2 967

During the month of July Clanton Industries issued a check in the amount of 756 to a supplier on account The check did not clear the bank during July In preparing the July 31 bank reconciliation the company should Multiple Choice Deduct the check amount from the book balance of cash Add the check amount to the book balance of cash Deduct the check amount from the bank balance Add the check amount to the bank balance Make a journal entry in the company records for an error

What is the probability of getting either a three or a five when drawing a single card from a deck of 52 cards www What is the probability that the card is either a three or a five Simplify your answer Type an integer or a fraction

After diving 95 m below the sea level a diver rises at a rate of 6 meters per minute for 7 min Where is the diver in relation to the surface The answer is m

the longest side is 5

Using the following values find the mean median mode and midrange 53 46 33 44 54 41 57 The mean is Round to the nearest tenth as needed

Suppose a student got the following grades on the exams in their mathematics course Complete parts a and b below 75 68 55 66 82 63 83 a Calculate the mean median mode and midrange of the student s exam grades in their mathematics course

Which notation expresses the number of combinations of 6 items selected from 9 distinct items Choose the correct answer below O A 6P9 OB 6C9 OC 9 OD 9P6

Jenny White is shopping for CDs She decides to purchase 5 movie soundtracks The music store has 8 different movie soundtracks in stock How many different selections of movie soundtracks are possible different possible selections of movie There are soundtracks at the music store

Jeanine Baker makes floral arrangements She has 14 different cut flowers and plans to use 6 of them How many different selections of the 6 flowers are possible How many ways can the 6 flowers be chosen

t terms graphy In the summer of 1977 Jeff Wall visited Madrid s Museo del Prado for the first time and became enchanted with its collection of Old Master paintings Later his head still full of the magnificent compositions of Diego Vel zquez and Titian Wall saw an illuminated advertisement at a bus kiosk This sudden contrast between art and commercial signage sparked the idea for what would become his artistic trademark backlit often large scale photographic transparencies that combine the richness of oil painting with the fluorescent display of advertising This pairing synthesizes the two impulses that have animated Wall s work both as an artist and an art historian to recuperate the past the great art of the museums and at the same time to participate with a critical effect in the most up to date spectacularity Born in Vancouver in 1946 Wall began drawing and painting at an early age In the mid 1960s he studied art history at the University of British Columbia while continuing to make art inspired by the emerging Conceptual art movement and its anti capitalist creed to decouple art from aesthetic and market value This culminated in Landscape Manual 1969 70 a black and white booklet composed of snapshots and texts documenting a car ride Wall took through Vancouver s gritty suburbs Despite this breakthrough work Wall found himself dissatisfied with the Concentual Artist Photographer Jeff Wall Title Date Medium Size Outburst 1989 Silver dye bleach process color print Cibachrome 1818 x 241 8 in 46 x 61 3 cm Word Length 650 700 Total Overview For this bundle your formal analysis must be a sort essay length response of 5 paragraphs in len will need to use exactly 3 elements to analyze the photograph in detail in order to make your arg about the photograph Use the Guide to Writing a Formal Analysis and the sample for addition support Keep in mind that the sample is structured differently from the specific format I outline So make sure you follow the specification outlined below and not the sample Specifications for Constructing the Short Essay Paragraph 1 Introduction Your introduction should include Mid Term Exam ART 3648 History of Photography a Basic details The name of the photographer artist title provenance date and medium b Context A very brief description of the work including what you think the subject is c A road map This is like a movie trailer it gives the reader a preview of your essay d Thesis statement This is a one or two sentence statement where you make your argumen main claim Paragraphs 2 3 and 4 Separate Body Paragraphs Use three different formal elements one per paragraph to analyze the photograph Together these paragraphs constitute the reasons and evidence that supports your overall argument about the mea the image Begin each paragraph with a topic sentence that addresses the significance of the eleme have chosen The topic sentence should make clear to your reader how the following analysis supp your overall thesis statement Address how and why the key elements used by the photographer ar create meaning Make sure you not only describe the work but use description to support your arg Thus you are using description for the ultimate purpose of interpreting and or evaluating the photo In this process you should be moving between description and analysis unlike the one paragraph f analysis Bundle 2 where you do all your description first and then move to to the analysis

Select a well known leader president coach educator Evaluate that leader according to the three dimensions of the leadership motive pattern need for power give examples need for affiliation intimacy give examples activity inhibition give examples Discuss all three dimensions as they relate to the person you chose Then answer the following questions Is this person an effective leader Would they be more effective or less effective as a leader if they conformed more closely to the leadership motive pattern

For 2021 Rahal s Auto Parts estimates bad debt expense at 3 of credit sales The company reported accounts receivable and an allowance for uncollectible accounts of 87 500 and 2 300 respectively at December 31 2020 During 2021 Rahal s credit sales and collections were 406 000 and 410 000 respectively and 2 540 in accounts receivable were written off Rahal s accounts receivable at December 31 2021 are Multiple Choice 91 500 88 960 83 500 80 960

Multiple Choice Measures the decline in market value of an asset Measures physical deterioration of an asset Is the process of allocating the cost of a plant asset to expense while it is in use Is an outflow of cash from the use of a plant asset Is applied to land

1 Andrew wants to save money to start a business He decides to save and deposit 3000 every year into a savings account that pays 7 compound interest How much money would Andrew have in his account at the end of 8 years

Determine the miller indices for the planes of the planes shown in the following unit cell

Discussion Post A Board Posts 25 total re of your participation you will write 200 word minimum to the readings as well as responding to at least one other post In s I want to see concrete examples where you critically reflect on the This can include citing specific photographs and photographers al connections between different readings ideas themes and or the own argument Please refer to my separate guide on discussion posts Hetails Posts are due by Sunday 6pm almost every week There will not pportunity to post after the deadline so make sure you enter the due them in work settings transformed Hine s images from the general to specific making them appear genuine Decades later labor unions continued to utilize his images in their before and after campaigns to show how they had improved the lives of American children Hine generally an unwanted visitor at industrial sites developed ingenious ways to make his images He posed as a fire inspector postcard vendor Bible salesman and as an industrial photographer one who needed a child standing next to a ma chine to provide a sense of scale Working quickly with available light which ne cessitated large apertures and their accompanying limited depth of field Hine drew the viewer s attention to the face of the person chapter twelve social docu ments being portrayed He relinquished fine art references recording instead the dirty details of the industrial landscape and its small forlorn ill clad inhabitants With a less is more artistic stratagem Hine s minimalistic pictures had a greater and more immediate impact as they took on a sense of being objective records Hine exposed the myth that everyone could pull themselves up by their boot straps and succeed in America Moralistic tales such as Horatio Alger Jr s Ragged Dick or Street Life in New York with the Boot Blacks 1868 and subsequent nov els encouraged the capitalist rags to riches fable that in a free country poverty in early life is no bar to a man s advancement 12 Destroying these inane fantasies would discourage the rationalization of child labor as a training camp for junior capitalists Yet the children he photographed may be dressed in soiled rags but they are not sensationalized as in Jacob Riis s pictures of criminals and drunkards in squalor Hine made the process not the product of labor the focal point of his picturing those who labored instead of what they made he laid open

73 73 Simplif

Find the length of the diameter the circumference and the area of the circle Use 22 for 7 u 2 911 The diameter is Simplify your answer Type a whole number or a simplified fraction The circumference of the circle is approximately Simplify your answer Type a whole number or a simplified fraction The area of the circle is approximately Simplify your answer Type a whole number or a simplified fraction

New Paper Products Ltd purchased a new machine for 150 000 This machine adds 25 000 to their revenue every year and costs 7500 every year in maintenance costs How long in years will it take the company to recover the 150 000 invested in this machine if the interest rate is 8 assume annual compounding

Consider the figures to the right Assume that one number from 1 to 7 is equally likely to be selected at random Each number corresponds to one of the seven figures 345 shown Find the probability of selecting a circle given that an odd number is selected A3 wwww P circle odd Type an integer or a simplified fraction

Wattage Good Defective Total 86 20 78 8 50 91 14 105 100 67 13 80 Total 236 35 271 A quality control inspector is checking a sample of light bulbs The table summarizes her results If one of the light bulbs is selected at random find the probability that the light bulb is good given that it is a 20 or 100 watt bulb The probability is Simplify your answer Type an integer or a fraction

As seen in the PBS Nova episode about population which region listed below has hope to fix some of their population issues by changing their immigration policies India Africa Mexico

O are a big deal they affect the distribution of federal dollars to the states O are a big deal they affect the distribution of professional sports franchises around the country O are no big deal they are just a count of the population anyway O are the result of government mismanagement Question 11 5 points Listen As seen in the PBS Nova episode about population which country examined is not achieving replacement level fertility Japan Mexico Kenya India

Which cohort consists of the wealth producing working population Male cohort Old age cohort Middle cohort Youth cohort

4 Balancing utility and price Suppose Lucia has to choose between purchasing high definition televisions and milk Which of the following is the utility maximizing rule that Lucia should follow while choosing the optimal quantities of these two goods Note In the answer options that follow MU stands for marginal utility MU of Milk MU of HDTV Price of HDTV Price of Milk MU of Milk x Price of Milk MU of HDTVs x Price of HDTVs MU of Milk MU of HDTVs Price of Milk Price of HDTV O MU of Milk MU of HDTVs less greater Since milk costs little and high definition televisions are expensive it must follow that when people choos definition televisions to purchase the marginal utility they receive from the last gallon of milk they buy is greater receive from the last high definition television they buy mal quantities of milk and high than the marginal utility they

60 50 40 30 20 10 0 Total 12 or older 12 to 19 20 to 34 35 to 44 Age group years 45 to 54 55 to 64 65 or older

9 fti 9 ft C Find the perimeter Use 3 14 for 1 The perimeter is Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed

Find the perimeter of the square 57 6 mm on a side The perimeter is Type a wholo

Find the area of the parallelogram 4 cm 13 cm The area is Simplify your answer Type a whole number or a decimal

d What fallacy is in evidence here Mom I think Michael Jackson is the best pop musician ever Dad Are you nuts He was a child molester

c Write a true sentence in conversational English that you would symbolize as All Pare Q Say explicitly what P and Q mean

c What fallacy is in evidence here Cashier Would you like to round up to the next dollar to help prevent birth defects Customer Not today Cashier Oh so you think babies should have birth defects i

8 a Give an example of a slippery slope fallacy b Give an example of an inappropriate appeal to authority fallacy 19

Identify the level of measurement of the data and explain what is wrong with the given calculation In a set of data internet speeds are represented as 100 for slow 200 for medium and 300 for fast The average mean of the 798 internet speeds is 231 2 The data are at the level of measurement What is wrong with the given calculation OA The true average mean is 195 4 OB Such data should not be used for calculations such as an average mean OC One must use a different method to compute the average mean of such data OD There is nothing wrong with the given calculation

D Given the following truth table for a four input logic circuit ABCD Out 0000 0 0001 0 0010 0 0011 0 0100 a 0101 0 0110 0 01110 1000 1001 10 10 10 11 1100 1101 1110 1 1 1 1 0 7771000 i Write the sum of products expression for this truth table ii Use the laws of Boolean algebra to reduce this expression to its simplest form iii Translate the truth table into its corresponding Karnauph map iv Minimise the sum of production expression in i using karnauph map 2 ma 2 ma 2 ma 2 ma

10 Let p and q be two propositions Which one of the following logical expressions is equivalent to p g Select all the apply OpVq Opv q

a Re write the following statements without any negations on quantifiers i rP x ii yP x y iii 3rVyP x y

Which one of the following correspond to statement Every comedian is funny where C x is the statement x is comedian and F x is the statement x is funny and the domain consists of all people Choose ONE option Ox C x F x OVx C x F x Ox C x F x Choose ONE option Ox C x F x OVx C x F x Ox C x F x Vx C x F x 3 4 5 6 7 8 9 10