Mathematical Reasoning Questions and Answers

Suppose that a small country with a population of 3 625 000 that consists of four states A B C and D There are 145 seats in the legislature that need to be apportioned among the four states The population of each state is shown in the table Use the table to answer parts a and b State Population A 610 000 a Determine the standard divisor The standard divisor is Simplify your answer B 1 365 000 C 428 750 D 1 221 250 Total 3 625 000 S

Members of fraternities and sororities are required to volunteer for community service Do fraternity brothers work an equal number of volunteer hours on average compared to sorority sisters The data below show the number of volunteer hours worked for twelve randomly selected fraternity brothers and twelve randomly selected sorority sisters Brothers 5 10 8 3 6 6 10 Ho Select an answer H Select an answer 6 Sisters 9 7 29 57 2 5 2 7 8 3 Assume both follow a Normal distribution What can be concluded at the a 0 01 level of significance level of significance For this study we should use Select an answer 5 13 11 13 a The null and alternative hypotheses would be Select an answer Select an answer Select an answer Select an answ nswer please enter a decimal Please enter a decimal b The test statistic C c The p value d The p value is a e Based on this we should Select an answer the null hypothesis f Thus the final conclusion is that please show your answer to 3 decimal places Please show your answer to 4 decimal places The results are statistically significant at a 0 01 so there is sufficient evidence to conclude that the mean volunteer hours for the twelve fraternity brothers that were surveyed is not the same as the mean volunteer work hours for the twelve sorority sisters that were surveyed The results are statistically significant at a 0 01 so there is sufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters The results are statistically insignificant at a 0 01 so there is statistically significant evidence to conclude that the population mean volunteer hours for fraternity brothers is equal to the population mean volunteer work hours for sorority sisters The results are statistically insignificant at a 0 01 so there is insufficient evidence to conclude that the population mean volunteer hours for fraternity brothers is not the same as the population mean volunteer work hours for sorority sisters

Using Excel to PROBLEM 5 On January 1 2022 the Hermann Company general ledger shows the 5 following information concerning its equipment 7 B 3 pute Equipment Accumulated Depreciation 36 000 13 600 0 1 The depreciation resulted from using the straight line method with the 2 following additional information 3 Useful life Salvage value 10 years 2 000 4 15 16 17 On January 1 2022 the company concludes that the remaining useful life 18 changes to the following with the same salvage value 19 20 Remaining useful life 21 22 Compute the revised annual depreciation 23 24 2 years Required Provide input into cells shaded in yellow in this template Use mathematical formulas with cell references to the Problem and work areas as indicated Book value at date of change Depreciable cost Revised annual depreciation 2

Mine Graphs A person s height on the Sky View Ferris wheel can be described by the equation h 98 sin 1 101 where h represent height in feet and t represents time in minutes after getting on the whed at the bottom What is the highest height a person will be while riding the Sky View Ferris wheel in Atlanta GA 98 feet 101 feet 199 feet 230 feet

Itranscript Find the mortgage balance after the first three payments on a 20 year 170 000 mortgage that was financed at an APR of 4 25 and has a monthly payment of 1052 70 Answer 2 Points Payment Number 1 2 3 Interest Payment 602 08 600 49 598 89 Balance 1 Balance 2 Principal Payment 450 62 452 21 453 81 Mortgage Balance Balance 1 Balance 2 Balance 3 Ke Keyboard Sh

2n If the number is odd what is the natural number n

At age 21 someone sets up an IRA individual retirement account with an APR of 4 At the end of each month he deposits 30 in the account He much will the IRA contain when he retires at age 65 Compare that amount to the total deposits made over the time period After retirement the IRA will contain Do not round until the final answer Then round to the nearest cent as needed The total deposits made over the time period is Type a whole number

The amounts in dollars spent by 20 families for dinner at a restaurant are given on the right Answer parts a and b below 20 29 99 30 39 99 40 49 99 50 59 99 60 69 99 b Choose the histogram that best represents this data set O A Frequency 10 30 50 70 65 Dinner Costs 2 3 4 Q S O B Frequency 10 30 50 70 Dinner Costs Q Q G 21 52 29 35 27 44 24 31 62 61 22 57 61 39 44 51 27 33 64 39 O C Frequency 10 30 50 70 Dinner Costs Q O D Frequency P N A P 10 30 50 70 Dinner Costs Q

Answer the questions for the following situation There are 50 markers in a box 24 blue 16 red 6 orange and 4 pink Without replacing any markers what is the probability of choosing a red and then another blue Round to the nearest whole percentage Use only DIGITS for your answer No commas symbols words etc

John was about to start a game with his friend He calculates the probability of his winning losing versus the amount of points he would win lose He concluded the expect value of the game was a negative number What is his conclusion The game is set up in his favor The odds are for him The game is set up NOT in highfavor The odds are against him The game is set up fairly There is no advantage or disadvantage to this game Question 79 1 point A local high school is having a raffle Tickets are 30 and 200 of them have been sold The prizes are a 40 60 and 100 gift card what is the expected value of this problem Round to two decimals places if necessary

Department R had 4 800 units in work in process that were 78 completed as to labor and overhead at the beginning of the period 38 400 units of direct materials were added during the period 40 700 units were completed during the period and 2 500 units were 31 completed as to labor and overhead at the end of the period All material are added at the beginning of the process The first in first out method is used to cost inventories The number of equivalent units of production for conversion costs for the period was 37 731 42 531 48 000 40 700

ACTIVILY TO D you Tollowing data about population changes in the United States Suppose state planners in Rhode Island and Vermont think that the average rate of change will continue through 2025 State Rhode Island Vermont R 2010 Population 2000 Population V 1 052 567 625 741 1 048 319 Assume that the relationship between population and years is linear and write equations to model the populations for each state Use R for the population of Rhode Island V for the population of Vermont and t for the time in years after 2000 Round your slope values to one decimal place 608 827

Unit 6 QPA A company is trying to reduce the cost of producing one of its tools It comes up with a much cheaper new method of production A large box of 2 000 tools produced by both methods is examined by testers Old Method New Method Acceptable Defective 1 640 23 328 9 of a 1 One tool is selected at random What is the probability of drawing a tool that is defective or produced by the new method Explain A los 2 One tool is chosen at random from the box It is then replaced A tool is selected again What is the probability that both selected tools were acceptable Are the events dependent or independent Explain 3 What is the probability that a tool selected at random is defective given that the tool was produced by the new method

int Exercise 7 16A Algo Accounts receivable turnover and average days to collect accounts receivable LO 7 7 The following Information is available for Market Incorporated and Supply Incorporated at December 31 Supply Incorporated 80 200 Accounts receivable Allowance for doubtful accounts Sales revenue Accounts Required A Required a What is the accounts receivable turnover for each of the companies b What is the average days to collect the receivables C Assuming both companies use the percent of receivables allowance method what is the estimated percentage of uncollectible accounts for each company Complete this question by entering your answers in the tabs below Market Incorporated 56 200 3 048 626 960 Company Required B Required C 2 556 887 100 What is the accounts receivable turnover for each of the companies Round your answers to 1 decimal place Acoounts Receivable Turnover

Click on the conclusion of the argument below It is raining now Therefore it is raining now or it is below free

Match each rule of inference with its logical form Modus ponens Addition Simplification Hypothetical syllagism Ap q p B p pvq Cp q q r p r

Required a Show the credit card sales Event 1 and the subsequent collection of accounts receivable Event 2 In a horizontal statements model in the Statement of Cash Flows column Indicate whether the item is an operating activity OA Investing activity IA or financing activity FA Leave blank to indicate that an element is not affected by the event 2 5 int Ultra Day Spa provided 86 150 of services during Year 1 All customers paid for the services with credit cards Ultra submitted the credit card receipts to the credit card company immediately The credit card company pald Ultra cash in the amount of face value less a 3 percent service charge 0 renca b Based on this information alone answer the following questions 1 What is the amount of total assets at the end of the accounting period 2 What is the amount of revenue reported on the income statement 3 What is the amount of cash flow from operating activities reported on the statement of cash flows Complete this question by entering your answers in the tabs below Required A Required B Show the credit card sales Event 1 and the subsequent collection of accounts receivable Event 2 In a hortzontal statements model In the Statement of Cash Flows ca indicate whether the item is an operating activity OA investing activity IA or financing activity FA Leave blank to indicate that an element is not affected by the e Enter any decreases to account balances and cash outflows with a minus sign Round your answers to nearest whole dollar Event Assets Balance Sheet Liabillber ULTRA DAY SPA Hortzontal statements Model stookholdere Equity Revenue Income statement Net Expence Income Statement of Cash Flows Show

8 In roulette a ball is dropped onto a spinning wheel The ball is equally likely to land on any of the wheel s 38 spaces 18 spaces are red 18 are black and 2 are green You place a 10 bet on red If the ball lands on a black or green space you lose your bet If it lands on a red space you keep your 10 bet and win another 10 What is the expected value of your bet Explain

A company is trying to reduce the cost of producing one of its tools It comes up with a much cheaper new method of production A large box of 2 000 tools produced by both methods is examined by testers Old Method New Method Acceptable 1 640 328 Defective 23 9 100 er a tea too 010 1 One tool is selected at random What is the probability of drawing a tool that is defective or produced by the new method Explain A hat

ces TB TF Qu 12 128 Static On the statement of cash flows cash On the statement of cash flows cash receipts from Interest and dividends are classified as Investing activities True or False

The frequency polygon to the right shows a distribution of IQ scores Determine if the following statement is true or false according to the graph The IQ score that more people had than any other IQ score and which the scores fall off in a symmetrical manner as the deviation increases or decreases from it is the IQ score of 105 Is the statement true or false O True O False Number of People frequency 30 85 Distribution of IQ Scores 95 105 115 125 135 145 IQ Score

Current Attempt in Progress On May 10 Sandhill Company sold merchandise for 6 500 and accepted the customer s Best Business Bank MasterCard At the end of the day the Best Business Bank MasterCard receipts were deposited in the company s bank account Best Business Bank charges a 3 8 service charge for credit card sales Prepare the entry on Sandhill Company s books to record the sale of merchandise Omit cost of goods sold entries List all debit entries before credit entries Credit account titles are automatically indented when amount is entered Do not indent manually If no entry is required select No Entry for the account titles and enter O for the amounts Date Account Titles and Explanation May 10 Debit Credit

Find the mortgage balance after the first three payments on a 20 year 140 000 mortgage that was financed at an APR of 5 5 and has a monthly payment 963 04 Answer Payment Number 2 3 Interest Payment 641 67 640 19 638 71 Balance 1 Balance 2 Principal Payment 321 37 322 85 324 33 Mortgage Balance Balance 1 Balance 2 Balance 3 Keyboar

The function is defined as f x x 4 2 x 3 The cubic function g x has a root at 5 a double root at 2 and a leading coefficient of 1 What is the horizontal distance in units between the relative minimum of f x and the relative maximum of g x

Find the nth term of a sequence whose first several terms are given 3 9 27 81 an

A weekly demand of 200 toasters at a price of 16 per toaster and a weekly demand of 300 toasters at a price of 14 per toaster the estimate weekly fixed costs of 1400 and variable costs of 4 per toaster let p be price of toaster and q number of toasters demanded at that price Write cost demand revenue functions and state the domain of the revenue function

View Pollcles Current Attempt In Progress Riggins Inc manufactures one product called tybos The company uses a standard cost system and sells each tybo for 8 At the start of monthly production Riggins estimated 9 500 tybos would be produced In March Riggins has established the following material and labor standards to produce one tybo Direct materials Direct labor 1 2 3 During March 2019 the following activity was recorded by the company relating to the production of tybos The company produced 9 000 units during the month A total of 24 000 pounds of materials were purchased at a cost of 66 000 A total of 24 000 pounds of materials were used in production 5 000 hours of labor were Incurred during the month at a total wage cost of 55 000 4 Standard Quantity 2 5 pounds 0 6 hours 2 Materials Price Varlance Calculate the following varlances for March for Riggins Inc Identify whether the varlance Is favorable or unfavorable b Materials Quantity Varlance c Labor Price Varlance d Labor Quantity Varlance S Standard Price S 3 per pound 10 per hour S

Determine if the following statement is true or false A correlation coefficient can be 0 The statement is false

A basket at a baby shower contains 10 bottles of pink nail polish numbered 1 through 10 and 3 bottles of red nail polish numbered 1 through 3 One bottle is drawn from the basket at random A the polish drawn is pink B the polish drawn is even numbered Find P A B 09 13 O 5 6 O 1 10 1 3

How many three letter words can be made from 9 letters FGHIJKLMN if repetition of letters a is allowed Your answer is b is not allowed Your answer is Question Help Video Merrane instructor

Read the passage and answer the question This reading passage is an example of which theme a belief in superstition money the conflict between civilization and natural life honor and morality English X And I about made up my mind to pray and see if I couldn t try to quit being the kind of a boy I was and be better So I kneeled down But the words wouldn t come Why wouldn t they It warn t no use to try and hide it from Him Nor from ME neither I knowed very well why they wouldn t come It was because my heart warn t right it was because I warn t square it was because I was playing double I was letting ON to give up sin but away inside of me I was holding on to the biggest one of all I was trying to make my mouth SAY I would do the right thing and the clean thing and go and write to that nigger s owner and tell where he was but deep down in me I knowed it was a lie and He knowed it You can t pray a lie I found that out

Which of the following correctly identifies normal balances of accounts a Assets Liabilities Common Stock Revenues Expenses b Assets Liabilities Common Stock Revenues Expenses c Assets Liabilities Common Stock Revenues Expenses d Assets A Liabilities Common Stock Revenues Expenses O 1 a 2 b 3 c Debit Credit Credit Debit Credit Debit Credit Credit Credit Credit Credit Debit Debit Credit Debit Debit Credit Credit Credit Debit

The Mac Company has four plants nationwide that cost 350 million The current fair value of the plants is 300 million The plants will be reported as assets at O 1 350 million 2 700 million 3 300 million 4 600 million

The following frequency table contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012 Year Deaths 2000 231 2001 21 357 2002 11 685 2003 33 819 2004 228 802 2005 88 003 2006 6 605 2007 712 2008 88 011 2009 1 790 2010 320 120 2011 21 853 2012 768 Total 823 756 What is the frequency of deaths from 2006 through 2009

Identify the population of interest and sample in the following statement A study of 33 043 infants in Italy was conducted to find a link between a heart rhythm abnormality and sudden infant death syndrome Population Sample

Find the reference number for each value of t a t b c d t t t 57 4 87 3 K 6 47 3

A Ferris wheel starts at a point 1 4 metres above the ground and travels to a maximum height of 34 4 metres above the ground The Ferris wheel takes 2 minutes to complete a revolution What would be the amplitude of the sinusoidal function used to model this scenario 33 17 9 16 5 1 4

Think about how the net can be folded to form a cube What is the number of the face that will be opposite face 1 3 4 5 2 1 Choose the correct number below

A plant scientist wants to study yield of a new variety of wheat She has 100 plots of land and applied various quantities of nitrogen fertilizer and water and measured wheat production on each plot Consider these statements about this study i Amount of wheat produced is a response variable ii This is an observational study iii amount of nitrogen fertilizer applied is an explanatory variable Which of the statements are true correct ii is correct i and iii are incorrect i ii and iii are all correct i and iii are correct ii is incorrect i and ii are correct iii is incorrect ii and iii are correct i is incorrect i is correct ii and ii are incorrect

Click here to watch the video Write MCMXCVIII as a Hindu Arabic numeral

Finding the Present Value of a Compound Interest Retirement Account Tanja wants to establish an account that will supplement her retirement income beginning 30 years from now For each interest rate find the lump sum she must deposit today so that 750 000 will be available at time of retirement 39 5 compounded quarterly 168 910 81 40 6 compounded quarterly 125 642 39 41 5 compounded daily 42 6 compounded daily 167 364 81

Write the numeral below as a Roman numeral 67 In Roman numerals the number is HEE 1 1 5 V X 10 LO

below 2 questions in total PART A B PICK ONE OF GROUP of TOPICS 1 Rational Expressions 2 Functions 3 Quadratic Functions 4 Exponential Functions PICK ONE OF 1 Trigonometry 2 Trigonometric Functions 3 Discrete Functions 4 Financial Applications Due Date Time Due Friday January 20th 2023 at 3 00pm 2 The questions cannot be copied from a textbook the internet the lessons any course assessment another student or any other source These are your own unique questions

8 00 AM 9 00 AM 10 00 AM 11 00 AM 80 140 180 200 Use the table to answer the following questions The marginal or additional gain from Maris s second hour spent working om 8 00 AM to 9 00 AM is The marginal gain from Maris s fourth hour spent working from 10 00 AM to 11 00 AM is problems problems The following week Maris s informatics faculty advisor gives her some advice In all their years of teaching they claim to observe that working on 50 multiple choice questions boosts a student s test score by about the same amount as spending an hour reviewing lecture notes For simplicity assume students are able to review lecture notes at a constant pace during each hour spent studying 0 hours working on problems 4 hours reading O 1 hour working on problems 3 hours reading Given this information in order to use her 4 hours of time spent studying to get the highest possible test score how many hours should she have spent solving multiple choice problems and how many hours should she have spent reviewing lecture notes

In this compare contrast method a single subject is discussed in detail followed by a similar examination of the other subject O subject by subject comparison O point by point comparison O parallel comparison O in depth comparison

When you write a compare and contrast essay you need to decide whether you will use an evaluative thesis or an explanatory thesis An evaluative thesis reflects an opinion or judgment about the two things being compared An explanatory thesis compares two subjects without taking a stance Consider the following thesis statement Although authoritative parenting and permissive parenting each have advantages and disadvantages permissive parenting is widely believed to be a more successful approach The thesis statement above is an example of an evaluative thesis statement an explanatory thesis statement

At Bob s Auto Plaza there are currently 6 new cars 7 used cars 11 new trucks and 7 used trucks Bob is going to choose one of these vehicles at random to be the Deal of the Month What is the probability that the vehicle that Bob chooses is used or is a car Do not round intermediate computations and round your answer to the nearest hundredth X

Problem ID PRABM2M8 Consider the polynomial function f x x4 ux 24x 32x 16 where u is an unknown real number If x 2 is a factor what is the value of u U 2019 Illustrative Mathematics All Rights Reserved Type your answer below as a number example 5 3 1 4 1 2 or 3 2 1009

A dairy needs 392 gallons of milk containing 5 butterfat How many gallons each of milk containing 6 butterfat and milk containing 2 butterfat must be used to obtain the desired 392 gallons AnswerHow to enter your answer opens in new window 2 Points 01 50 45 gallons of milk containing 6 butterfat Key Keyboard Sho

7 Given the following system of equations what variable wondd be 2 By 12 4ay By 24 Cancel out ou and some friends are going on a recreation hike and need to hire a guide Your friends want you to pick the best guide to hire for the hike Larry charges an initial fee of 50 plus 15 per mile on the hike Connie charges a flat rate of 200 for an entire hike Teo charges 20 per mile on the hike a Write an equation to represent the total cost C for m miles on the hike for each guide Larry Connie Teo c 1 C 30 b Fill in the table and graph each of the three the equations Make sure to label your axis give your graph a title and label each line with the name of the company Miles on the hike 0 5 10 15 20 Larry Connie Teo teo Connie Lary 0 5 10 15 20 Miles on the hike c If the hike is 20 miles long which guide should you choose How do you know d If the hike is 5 miles long which guide should you choose How do you know many miles will the cost for all the guides be the same How do you k