Mathematical Reasoning Questions and Answers

6 12 WP Steam enters a turbine operating at steady state at 1 MPa 200 C and exits at 40 C with a quality of 83 Stray heat transfer and kinetic and potential energy effects are negligible Determine a the power developed by the turbine in kJ per kg of steam flowing b the change in specific entropy from inlet to exit in kJ K per kg of steam flowing

ind the percentage of area und 1 77 click here for page 1 of the Area he percentage of area under th

atics 639910442 questio plots show data for state and local community expenditures n Q1 Q2 and Q3 for police and fire protection spending 13 e sponding is 13

K Determine whether the fo Two dice are rolled A is

Which of the following is a negation of the statement Vx P x VQ x O Vx P x A Q x O 3x P x Q x 3x P x VQ x 3x P x Q x

Question 9 of 15 or a simple random sample of pulse rates of women measured in beats per minute n 146 the range rule of thumb is applied to that normal range the result is a standard deviation of tes of women have a standard deviation equal to 10 beats per minute see the accompanyin Hint The bottom three rows of the display provide P values for a two tailed test a left tailed nge rule of thumb with the normal range from 60 to 100 beats per minute for estimating a i Click the icon to view the JMP display 5 0 1 0 ype integers or decimals Do not round et a denote population standard deviation of the pulse rates of women in beats per minute

Translate the given statement into logical expressions using predicates quantifiers and logical connectives in two different ways First let the domain consist of the students in your class and second let it consist of all people Someone in your class has visited MoMA Type your answer in the space provided Use the MathType equation editor to enter symbolic expressions For the toolbar press ALT F10 PC or ALT FN F10 Mac B T U f Paragraph v Arial V 10pt E I 0 5 E

The director of a nonprofit ballet company in a medium sized city in a certain country is planning its next fundraising campaign In recent years the program has found the percentages of donors and gift levels given in the accompanying table Develop a spreadsheet model to calculate the total amount donated based on this information if the company contacts 800 potential donors to donate at the 100 level or below Click the icon to view the percentages of donors and gift levels 7 Soloist 8 9 Solicitations 10 Total Donations Enter the values in the model Type integers or decimals Do not round A 1 Gift Level 2 Benefactor 3 Philanthropist 4 Producer s Circle 5 Director s Circle 6 Principal 7 Soloist 8 9 Solicitations 50 B Amount 800 SUM D2 07 10 000 5 000 1 000 500 100 50 800 C 13 B7 C7 B 9 Average Number of Gifts 3 12 27 50 7 13 D Donations PRE Percentages of donors and gift levels Gift Level Benefactor Philanthropist Producer s Circle Director s Circle Principal Soloist Amount 10 000 5 000 1 000 500 100 50 Print Average Number of Gifts 3 12 27 50 7 of solicitations 13 of solicitations Done O X

9 Find the rational toots of each and factor as far as possible in A x a f x 4x x 3x 4x 3

Construct a truth table for the statement J Ad bvd Complete the truth table below Ad bvd 1 Ad bvd jb d E TTT

2 2 points eBook A The following selected transactions apply to T operations Sales tax is collected at the time of 1 Cash sales for November Year 1 were 66 0 2 Topeca Supply paid the November sales tax 3 Cash sales for December Year 1 were 81 0 Required a Record the preceding transactions in gener b Show the effect of the preceding transactio What was the total amount of sales tax paid

Question 4 of 14 Step 1 of 1 Suppose that a university has 34 scholarships to be apportioned majors Use the Jefferson method to determine how the scholars Answer 2 Points English n

Question 3 of 14 Step 1 of 1 College dining is considering opening a national fast food franchise Chick fil A Subway or Domino s and will leave the choice to the stud and the results are shown in the preference table Determine if the opens a Chick fil A on campus Votes 1st 2nd 3rd 4th 5th 248 Chick fil A Moe s Domino s Dairy Queen Subway Preference 1 57 Subway Chick fil A Domino s Moe s Dairy Queen Ch S D Dai

4 52 Determine the reactions at A and B for the beams loaded Beam weight may be neglected in all cases 12 kN 3m 10 kN A h 2m FIGURE P4 52 4 m B

Question Make it make sense how does your evidence support the initial claim cause and effect Purpose In this assessment you will construct an explanation based on evidence for how the availability of natural resources occurrence of natural hazards and changes in climate have influenced human activity

Develop a spreadsheet model to determine how much a person or a couple can afford to spend on a house Lender guidelines suggest that the allowable monthly housing expenditure should be no more than 28 of monthly gross income From this you must subtract total nonmortgage housing expenses which would include insurance and property taxes and any other additional expenses This defines the affordable monthly mortgage payment In addition guidelines also suggest that total affordable monthly debt payments including housing expenses should not exceed 36 of gross monthly income This is calculated by subtracting total nonmortgage housing expens and any other installment debt such as car loans student loans credit card debt and so on from 36 of total monthly gross income The smaller of the affordable monthly mortgage payment and the total affordable monthly de payments is the affordable monthly mortgage To calculate the maximum that can be borrowed find the monthly payment per 1 000 mortgage based on the current interest rate and duration of the loan Divide the affordable monthly mortgage amount by this monthly payment to find the affordable mortgage Assuming a 25 down payment the maximum price of a house would be the affordable mortgage divided by 0 75 Use the following data to te your model Total monthly gross income 5 500 Nonmortgage housing expenses 350 Monthly installment debt 500 Monthly payment per 1 000 mortgage 7 25 Enter the formulas for the spreadsheet that implements this model A 1 Total Monthly Gross Income 2 Allowable Monthly Housing Expenditure 3 Total Non Mortgage Housing Expenses 4 Affordable Monthly Mortgage Payment 5 Monthly Installment Debt 6 Total Affordable Monthly Debt Payments 7 Affordable Monthly Mortgage 8 Monthly Payment per 1000 mortgage 9 Maximum that can be borrowed 10 Down Payment B 5 500 00 V 350 00 500 00 7 25 Y 25 C Max Percentage Max Percentage D 0 28 0 36 AWY

College dining is considering opening a national fast food franchise on campus Thei Chick fil A and will leave the choice to the students Students were asked to rank the able Determine if the majority criterion was satisfied if the college uses the Borda d Itranscript Votes 1st 2nd 3rd th 128 Chick fil A Dairy Queen Moe s Subwou Preference Table 1 53 Moe s Dairy Queen Wendy s Chick SLA 100 Chick fil Subway Dairy Que

4 While a gold mine produced 2 210 kg in the first year production is decreasing by 12 annually a Find the amount of gold produced in the third year of production Hint Find an explicit formula for the situation first b How much gold was produced across all three years Hint Write a partial sum formula first

Itranscript Love Digest magazine wants to name the number one activity for a first date amo three activities in order of their preference as part of their sign up process The t table summarizes the rankings of the members surveyed Determine if the Cond elimination method Why or why not Votes 1st 2nd 3rd 135 Drinks Walk Movie Preference Table 202 Walk Movie Drinks

tion 1 of 20 olicies ttempt History

QUESTION 9 a You have a ball with 25 re row no replacement and se significant figures DO NOT

REORDER ROP QUANTITY WITH SAFETY STOCK Problem 3 D 13 000 units d 250units oa 40 units K 100 order L 4 weeks h 0 65 unit a For a 98 service probability what is the Reorder Point Q What is the safety stock quantity b What is the optimal order quantity when it is time to order c If safety stock is reduced by 100 units what is the new service probability

anufacturer is planning to sell a new product at the price of 360 dollars per unit and estimates that if a thousand dollars is spent on development and y thousand dollars is spent on promotion consumers will buy approximately s of the product anufacturing costs for the product are 230 dollars per unit how much should the manufacturer spend on development and how much on promotion to generate the largest possible profit ember Profit All Revenues All Expenses Costs and your answer to the nearest dollar elopment costs y 6

A garage band wants to hold a concert The expected crowd is 2 900 The average expenditure on concessions is 35 Tickets sell for 30 each and the band s profit is 85 of the gate and concession sales minus a fixed cost of 18 000 Develop a mathematical model and implement it on a spreadsheet to find the band s expected profit A 1 Expected Crowd 2 Average Concessions Expenditure 3 Fixed Cost 4 Ticket Price 5 Profit percentage 6 Ticket Revenue 7 Concession Revenue 8 Profit B1 B4 B1 B2 B5 B6 B7 B3 Complete the following spreadsheet model Type integers or decimals Do not round A 1 Expected Crowd 2 Average Concessions Expenditure 3 Fixed Cost 4 Ticket Price 5 Profit percentage 6 Ticket Revenue 7 Concession Revenue B C people per person per person

Know to formula for elasticity of demand Know the interpretation of elasticity of demand and how to use it to answer questions Know what it means from price to be elastic unit elastic and inelastic and what this means about the price Know how to tell if revenue is increasing decreasing or maximized using elasticity 1 DETAILS WANEAC7 5 6 001 1 3 Submissions Used The weekly sales of Honolulu Red Oranges is given by q 900 18p Calculate the price elasticity of demand when the price is 30 per orange yes 30 per oranget Interpret your answer The demand is going 8 by Also calculate the price that alua Assignment Submission For this assignment you submit answers by c use a new randomization after every 1 questi Assignment Scoring Your best submission for each question part i per 1 increase in price at that price level

An electronics store sells two popular models of wireless headphones model A and model B The sales of these products are not independent of each other in economics we call these substitutable products because if the price of one increases sales of the other will increase The store wishes to establish a pricing policy to maximize revenue from these products A study of price and sales data shows the followin relationships between the quantity sold N and prices P of each model NA 15 0 66PA 0 27PB Ng 26 0 12PA 0 51PB Develop a spreadsheet for calculating the total revenue if PA 18 and PB 35 Design it so that the price demand function parameters can easily be changed Complete the spreadsheet below Type integers or decimals Round the quantities to the nearest integer as needed Do not include the symbol in your answers B C Model Parameters for QTY Sold A D E F G Constant 2 Model 3 A 4 B 5 Price Coeff Price A Coeff Price B m Quantity Sold Total Revenue Revenue

7 M N O P gnments and MATH1507 M N O P Q R S

2 The National Center on Drug Use and Health reported that from 2002 2005 4 8 of persons aged 12 or older used a prescription pain reliever non medically Suppose that a random sample of 900 persons aged 12 or older taken this year found 54 that had used a prescription pain reliever non medically Test whether the population proportion of persons aged 12 or older using a prescription pain reliever non medically has increased using a 1 significance level

9 15 Consider the nonlinear system a Find all critical points of this system x x xy y y 2xy

Fix p 0 p 1 and fix 0 21 C Show that the set of satisfying 2 20 plz 21 is a circle Sketch it for p and p 2 with 200 and 1 What happens when p 1 Solution Recall that a circle in R2 centered at a b with radius r is given by the equation We manipulate the equation z 201 plz 2l The solutions set of the equation above remains the same if we square both sides 12 201 p 2 21l Let z r iy 20 10 iyo and iy Thus our equation becomes x xo y y0 p x y 3 Expanding the squares and grouping terms we have x a y b 1 p r 2 ro p x x x p x 1 p y 2 yo p y y y p y 0 Dividing both sides by 1 p2 we have So we have 7 2 10 p x I x p x y 2 to p y y 36 p 0 1 p 1 p 1 p Now complete the squares for both the z and y terms Recall that x 2ar b x a a b 2 20 This becomes 1 p x p x xo p x Yo p y 10 1 mm 1 p y p y 30 p 1 x 20 1 11 1 p 9 Yo p y 1 p ro p x yo p y 1 p x y p x y 1 p p x xo y y0 1 p which is the equation for a circle If zo 0 and 2 1 we have 1 2 2 1 0 When p we have a circle of radius centered at 1 0 and when p 2 we have a circle of radius centered at 4 0 When p 1 we have the equation 2 20 2 211 which is the line bisecting the two points When to 0 1 this is the

A small business owner contributes 2 000 at the end of each quarter to a retirement account that earns 10 compounded quarterly a How long will it be until the accountis worth at least 150 000 Round your answer UP to the nearest quarter quarters b Suppose when the account reaches 150 000 the business owner increases the contributions to 8 000 at the end of each quarter What will the total value of the account be a years Round your answer to the nearest dollar

K Liberation Sans 3 C V D v F fx Function ROUND Formula Ad V G Av E H ND Formula Add Multiply Divide Cell Referenc Cost Inventory PROBLEM of operations McLanie Company made three purchas cerning these purchases and units on hand are

Two dice are rolled Find the probability of the following event The first die is 6 or the sum is 5 The probability of the event the first die is 6 or the sum is 5 is Type an integer or a simplified fraction

Researchers selected 874 patients at random among those who take a certain widely used prescription clinical trial 21 out of the 874 patients complained of flulike symptoms Suppose that it is known that 2 1 of patients taking competing drugs complain of flulike symptoms Is there sufficient evidence to conclude that more than 2 1 of this drug s users experience flulike symptoms as a side effect at the a 0 01 level of significance 5 of the population size and the patients in satisfied 10 the sample size is selected at random all of the requirements for testing the hypothesis Because npo 1 Po the sample Round to one decimal place as needed

i Click the icon to view the transaction information Journalize all entries required for Quick Running Shoes Re May 15 2024 Recorded Explorer credit card sales of 92 0 credit card sales Ignore Cost of Goods Sold Date Accounts and Explanation 2024 May 15 More info 2024 May 1 Recorded Credit Express credit card sales of 145 000 net of processor fee of 3 Ignore Cost of Goods Sold May 15 Recorded Explorer credit card sales of 92 000 Processor charges a 2 5 fee Explorer charges the fee at the end of the month therefore Quick uses the gross method for these credit card sales Ignore Cost of Goods Sold Explorer collected the fees for the month of May Assume the May 15 transaction is the only Explorer credit card sale May 31 Print Credit Done May 31 2024 Explorer collected the fees for the month of May Assume the May 15 transaction is the only Explorer credit card sale Date Accounts and Explanation Debit 2024 May 31

Journalize all entries required for Quick Running Shoes Record debits first then credits Select the explanation on the last line of the journal entry table May 15 2024 Recorded Explorer credit card sales of 92 000 Processor charges a 2 5 fee Explorer charges the fee at the end of the month therefore Quick uses the gross method credit card sales Ignore Cost of Goods Sold Accounts and Explanation Date M 2024 May 15 More info 2024 May 1 May 15 May 31 Debit Credit Recorded Credit Express credit card sales of 145 000 net of processor fee of 3 Ignore Cost of Goods Sold Recorded Explorer credit card sales of 92 000 Processor charges a 2 5 fee Explorer charges the fee at the end of the month therefore Quick uses the gross method for these credit card sales Ignore Cost of Goods Sold Explorer collected the fees for the month of May Assume the May 15 X prer credit card sale

Baglini Inc had net sales of 53 400 000 for the year ended May 31 2024 Its beginning and ending total assets were 53 800 000 and 98 800 000 respectively Determine Baglini s asset turnover ratio for year ended May 31 2024 Round the asset turnover ratio to two decimal places X XX

Stuff Matters Excerpt by Mark Miodownik The fundamental importance of materials to us is apparent from the names we hav used to categorize the stages of civilization the Stone Age Bronze Age and Iron Age with each new era of human existence being brought about by a new mate Steel was the defining material of the Victorian era allowing engineers to give full re their dreams of creating suspension bridges railways steam engines and passenge liners The great engineer Isambard Kingdom Brunel used it to transform the landsca and sowed the seeds of modernism The twentieth century is often hailed as the Age Silicon after the breakthrough in materials science that ushered in the silicon chip ar the information revolution Yet this is to overlook the kaleidoscope of other new mate that also revolutionized modern living at that time Architects took mass produced sh glass and combined it with structural steel to produce skyscrapers that invented a ne type of city life Product and fashion designers adopted plastics and transformed our homes and dress Polymers were used to produce celluloid and ushered in the bigge change in visual culture for a thousand years the cinema The development of aluminum alloys and nickel superalloys enabled us to build jet engines and fly cheap thus accelerating the collision of cultures Medical and dental ceramics allowed us to rebuild ourselves and redefine disability and aging and as the term plastic surgery implies materials are often the key to new treatments used to repair our faculties hip replacements Gunther von Hagens s Body Worlds exhibitions also testify to the cultur influence of new biomaterials inviting us to contemplate our physicality in both life an death 1 The author includes the new materials that revolutionized modern living to suggest that the twentieth century is more scientific than past centuries B defined by more than one material considered the most successful period Ounchanged by past materials 2 The author organizes the excerpt by A presenting in chronological order the stages of civilization B explaining how each era received its name

r the statement below write the claim as a mathematical statement State the null and alternative hypotheses and identify which represents the claim ccording to a recent survey 47 of college students used their own income or savings to pay for college Write the claim as a mathematical statement A p 0 47 D p 0 47 Choose the correct null and alternative hypotheses below OA Ho p 0 47 Ha p 0 47 O D Ho p 0 47 Ha p 0 47 Identify which is the claim O O The null hypothesis Ho p20 47 is the claim The alternative hypothesis Ha p 0 47 is the claim The null hypothesis Ho p 0 47 is the claim The alternative hypothesis Ha P 0 47 is the claim B p 0 47 OE p 0 47 OB Ho p20 47 H p 0 47 OE Ho p 0 47 Ha p 0 47 CHLOCH OC p 0 47 OF p 0 47 OC Ho p 0 47 H p 0 47 OF Ho p 0 47 Ha p 0 47

Examine the given statement then express the null hypothesis Ho and the alternative hypothesis H in symbolic form The mean weight of women who won a beauty pageant is equal to 121 lb Which of the following is the hypothesis test to be conducted OA Ho H 121 H 121 OC Ho 121 H 121 OE Ho 121 H 121 OB Ho H 121 H 121 O D Ho H 121 H 121 OF Ho 121 H 121

2 g t 0 t 6 y 4y 3y y t f t g t u t 6 where f t 3 t 6 y 0 1 and y 0 0

In class we derived a relationship between output per capita and the population level N in an economy using the production function Y KaL a where L ON Using the graphical model illustrate the impact of each of the following Feel free to plug in specific numerical values if you need to check your intuition for example you can assume that K 300 N 500 a 0 4 and p 0 6 but you do NOT need to use specific numerical values to answer this question accurately a K increases by a fixed quantity every year e g we add 50 new machines to the economy every year b There is a change in social norms allowing more women to enter the workforce each year As a result increases but by less and less each year e g o increases to 0 7 then to 0 75 then to 0 78 and then to 0 8 before stabilizing at some value max c A serious communicable disease hits the economy randomly killing half of the overall popu lation d A serious communicable disease hits the economy randomly killing half of the working age population e K and L both grow at a constant rate every year e g we increase the number of machines of mas bu 5 ou 11001 romaine

Dominic throws a snowball up in the air The height of the snowball in feet h x can be represented by h x 0 5x 2 6x 4 where x is the horizontal distance the snowball travels in feet Dominic wants to know how far the snowball has traveled when the height is 20 feet

The average production cost for major movies is 63 million dollars and the standard deviation is 22 million dollars Assume the production cost distribution is normal Suppose that 45 randomly selected major movies are researched Answer the following questions Give your answers in millions of dollars not dollars Round all answers to 4 decimal places where possible a What is the distribution of X X N b What is the distribution of a x N c For a single randomly selected movie find the probability that this movie s production cost is between 57 and 63 million dollars d For the group of 45 movies find the probability that the average production cost is between 57 and 63 million dollars e For part d is the assumption of normal necessary Yes No

Translate these statements into English where R x is x is a rabbit and H x is x hops and the domain consists of all animals a vx R x H x b 3x R x H x Type your answer in the space provided For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph V Arial 10pt E v A B

10 points Save Answ Translate the given statement into logical expressions using predicates quantifiers and logical connectives in two different ways First let the domain consist of the students in your class and second let it consist of all people Everyone in your class is a student of LaGuardia Type your answer in the space provided Use the MathType equation editor to enter symbolic expressions For the toolbar press ALT F10 PC or ALT FN F10 Mac B IU S Paragraph Arial

Fill in the membership table for the set in the expression An B A and determine if the equality is true ABB A An B A 11 10 01 00 Equality is

Page TH1507 M N O P Q R S Mathe s 43 differently coloured balls If you 43 2 2

ip23 MATH 1106 90 Tri Read It DETAILS Homepage W Assignment 10 Parametric Equations T n object in circular motion is modeled by the given parametric e e motion clockwise or counterclockwise and the time t that ht y 5 cos t le

Unique ID 8448 9 500 is invested in an account earning 6 3 interest APR compounded quarterly Write a function showing the value of the account after t years where the annual growth rate can be found from a constant in the function Round all coefficients in the function to four decimal places Also determine the percentage of growth per year APY to the nearest hundredth of a percent Function f t 4