Math - Others Questions

10 01 26 55 The assumption that in the absence of contrary information a business entity will continue indefinitely is the Multiple Choice Historical cost assumption Going concern assumption

1 3 Are the populations in Exercises 1 1 and 1 2 concep tual or physical populations 1 4 How would you obtain a sample of size 20 from all of the possible distances that you might throw a baseball Is the population that you are sampling from conceptual or physical 1 5 A group of 100 dental patients is randomly divided into

WILEY 4 1 The Minitab output for a random sample of data is shown below Some of the quantities are missing Compute the values of the missing quantities Variable N Mean SE Mean X 9 19 96 StDev Variance 3 12 Min Max 15 94 27 16

1 1 The Department of Industrial Engineering at a major university wants to develop an empirical model to predict the success of its undergraduate students in completing their degrees a What would you use as the response or outcome variable in this study b What predictor variables would you recommend using c Discuss how you would collect data to build this model Is this a retrospective study or an observational study

1 6 List two examples of conceptual populations and two examples of physical populations For each population describe a question that could be answered by sampling from the population Describe how a random sample could be obtained Whe conti yield rand

1 2 A city has 20 neighborhoods How could the city tax appraiser select a random sample of single family homes that could be used in developing an empirical model to predict the appraised value of a house a What characteristics of the house would you recommend that the tax appraiser consider using in the model b Is this an enumerative study or an analytic study

Dean Male ct 7 two vi How many students in i Brown eyes 8 The Venn diagram shows information about a group of children The numbers shown in these sets represent the cardinal number of the set How many girls are in the group 12 10 asked Girl 18 ii How many brown eyed girls are in the group iii How many boys are in the group iv How many people are in the group 9 Given A factors of 48 and B factors of 2 i List the elements of set A and set B ii Draw a Venn diagram to represent A and iii Explain in words what the overlapping region means in this question iv Use your Venn diagram to find the HCF of 20 and 48

2 1 An important quality characteristic of water is the concentration of suspended solid material in mg l Twelve measurements on suspended solids from a certain lake are as follows 42 4 65 7 29 8 58 7 52 1 55 8 57 0 68 7 67 3 67 3 54 3 and 54 0 Calculate the sample average and sample standard deviation Construct a dot diagram of the data first y 126 Calcu Const 2 5 on vis

vehicle lontification Number is assig cars how many different VINS are Possible all

2 5 of what number is 2 5

153 is 85 of what number

36 9 Fill in the integer values of each square root on the number line 25 49

The difference of a number and 7 is 20 What is the number

If Pablo drives 288 miles at a constant speed of 72 mph How long will it take Be sure to include the units Answer number then units

Use the perimeter formula P 21 2w to find the length 7 of a rectangular lot if the width w is 45 feet and the perimeter P is 220 feet

What equal payments in 3 years and 5 years would replace payments of 37 500 and 80 000 in 7 years and 8 years respectively Assume money can earn 3 30 compounded quarterly

Amount Desired at End Length of of Period 6 000 00 Annual Time years Rate 8 Compounded 3 Semiannually Required Complete the following using the information above and the present value table 12 3 provided in the file 1 Number of compounding periods 2 Periodic interest rate 3 PV factor used 4 PV of amount desired at end of period Navigation 1 Use the Open Excel in New Tab button to launch this question 2 When finished in Excel use the Save and Return to Assignment button in the la

Consider the system of differential equations For this system the smaller eigenvalue is 3 68 dx dt dy dt 1 6x 0 5y 2 5x3 6y and the larger eigenvalue is 1 52 Note you may want to use the WolframAlpha widget right click to open in a new window Enter your functions and domain and then click submit If y Ay is a differential equation how would the solution curves behave A The solution curves converge to different points OB All of the solution curves would run away from 0 Unstable node OC The solution curves would race towards zero and then veer away towards infinity Saddle OD All of the solutions curves would converge towards 0 Stable node The solution to the above differential equation with initial values 0 7 y 0 3 is x t y t

The U Drive Rent A Truck company plans to spend 8 million on 280 new vehicles Each commercial van will cost 25 000 each small truck 30 000 and each large truck 40 000 Past experience shows that they need twice as many vans as small trucks How many of each type of vehicle can they buy They can buy vans small trucks and large trucks

Use any method to evaluate the integral tan 213x S S csc 13x tan 213x csc 13x dx dx

Whole number division by hand stops when the number at the bottom of the stack is smaller than the divisor True False

Write a new Python 3 code for the problem S N 1 i 2 i 1 1 1 1 2 1 N

promotions Price Promotions Amount versus Percentage Uff are commonly used by retailers to motivate consumers to make a purchase Both the amount off and percentage off are in widespread use and research on when to use each method has been mixed The current study evaluated intent to purchase for a lower and higher priced item using either a fixed amount or a percentage off For the lower priced item participants saw a promotion for balloons regularly selling for 48 pesos but on sale with either a 12 peso or a 25 discount The higher priced item was a 480 peso sweater on sale with either a 120 peso discount or a 25 discount One hundred and fifty one students were randomly assigned to the treatments and responded to two ques tions measuring value perceptions I would be saving a lot of money if I made my purchase at this store and This store is selling the advertised product at a considerable discount Participants answered each question on the scale 1 strongly disagree to 5 strongly agree

What lump sum must be invested at 7 compounded monthly for the investment to grow to 74 000 in 14 years The lump sum invested at 7 compounded monthly grows to 74 000 in 14 years Do not round until the final answer Then round to the nearest cent as needed

11 Prayer and Meditation You read in a magazine that nonphysical treatments such as meditation and prayer have been shown to be effective in controlled scientific studies for such ailments as high blood pressure insomnia ulcers and asthma Explain in simple language what the article means by controlled scien tific studies Why can such studies in principle provide good evidence that for example meditation is an effective treatment for high blood pressure

0 06 At the end of t years the future value of an investment of 10 000 in an account that pays 6 APR compounded monthly is S 10 000 0 000 1 0 additional deposits how long will it take for the investment to amount to 50 000 The investment will grow to 50 000 in years Do not round until the final answer Then round to two decimal places as needed 121 dollars Assuming no withdrawals

A person bought a car for 21 022 After 3 years the car was worth 11 984 Assume that the price is decreasing according to the continuous exponential decay model P Poet a Find the annual depreciation rate r to the nearest tenth of a percent b Find the value of the car after 5 years to the nearest hundred dollars a What is the annual depreciation rate Do not round until the final answer Then round to one decimal place as needed

a Find the value k of the exponential growth rate Assume V 271 k Round to the nearest thousandth Instructor tip Example Write an exponential function by first finding the rate of change k given the value is 239 in 1977 and 499 in 1985 Tip Use V t Voe kt V t and the Vo are both dollar amounts the tis the time it took for the original 1977 value Vo to grow to the second value in 1985 V t which means t 8 So you plug those 3 values into the equation and end up solving it for the k Setup 499 293e k 8 or 499 293e 8k Now to get k by itself 1st step

Complete parts a and b below a If 10 000 is invested at 5 compounded annually find the future value in 10 years Simplify your answer Round to the nearest cent as needed www

If 15 000 is invested at 6 interest compounded monthly find the interest eamed in 14 years The interest earned in 14 years is Do not round until the final answer Then round to two decimal places as needed

Beginning in Chicago a salesperson must visit San Francisco Los Angeles San Diego Austin Houston Jacksonville Washington DC New York City and Boston How many different itineraries are there Answer Chil How many different itineraries are there if San Francisco Los Angeles and San Diego must appear consecutively and in this order Answer

Suppose that 39 000 is deposited in an account and the balance increases to 49 578 72 after 4 years How long will it take for the account to grow to 93 649 74 Assume continuou compounding It will take about years for 39 000 to grow to 93 649 74 Round to the nearest tenth as needed

If 5000 is invested at 4 compounded continuously what is the amount after 6 years The amount after 6 years will be Round to the nearest cent

Based on data from 1920 and projected to 2050 the expected life span of people in Country A can be described by the function f x 10 963 14 319 Inx where x is the number of years from 1900 to the person s birth year a Estimate the birth year for which the expected life span is 75 years b Use graphical methods to determine the birth year for which the expected life span is 75 years Does this agree with the solution in part a a The birth year is approximately for which the expected life span is 75 years IP und to the nearest whole number as needed

An amount of 5000 is invested at 14 interest compounded daily a Find the future value in 5 years b Determine whether more or less money would have accrued if the money had been compounded quarterly a The total amount is Round to the nearest cent as needed

4 Exp Log Models Find the exponential function that models the data in the table below X y y 3 7 8 2 7 4 1 7 2 0 7 What is the exponential regression of the data 1 14 Question 1 5 4 1 GC 2 28 3 56 4 112

Suppose the weekly cost for the production of x units of a product is given by C x 3455 60 In x 1 dollars Use graphical methods to estimate the number of units produced if the total cost is 3554 Graph C x 3455 60 In x 1 when the total cost is 3554 Choose the correct graph below OA AC x 3704 34044 AC O 3704 34044 GITE Estimate the number of units produced if the total cost is 3554 Round down to the nearest unit OC ACO 3704 3404 OD 3704 Q

Let S 1 2 8 Also let A and B be the following sets Compute the following A B Gils A a b c E SXSXS a b c are all different B a b c ESXSXS ab b c

Let S 1 2 12 a How many subsets B of the set S satisfy the property that 1 2 CB Answer b How many subsets B of the set S satisfy the property that 1 2 3 4 B Answer

For each positive integer i let S be the following set Si i i 1 i 2 2i 1 That is S is the set of integers between i and 2i 1 inclusive For example S8 8 9 10 17 Also let T 1 3 5 7 Compute the following sets 3 a US j 1 5 b Sk k 3 5 c U SinT i 2 d Tn US i 2

A true false quiz has 6 questions a How many different ways can the quiz be filled out b How many different ways can the quiz be filled out if the student does not answer all true or all false In both parts assume each question must be answered with true or false

There are 10 job applicants at a company How many different positions Answer The number of ways is P n k where n The final numerical answer is Submit answer Ja different ways are there to select three of the applicants for three and k

How many different ways are there to arrange 6 people in a row for a picture Answer The number of ways is P n k where n The final numerical answer is C D and k

A PIN for a certain website must consist of four different digits from the set 0 1 2 7 For example 6012 or 0513 How many different PINs are possible Answer The number of PINs is P n k where n The final numerical answer is and k

A total of 6 cats are to be lined up in a row for a picture In how many different ways can the cats be arranged C A

A PIN is a string of four digits For example 0119 and 4512 are PINs How many PINs consist of four different digits from the set 5 6 8 9 Answer

At a burger stand you can order toppings from a checklist similar to this one Toppings Lettuce Tomato Pickles Suppose that there are 9 toppings on the list In how many different ways can you order toppings for your burger Answer

A shop sells t shirts that can be printed with any one of 30 designs Each t shirt can also be any one of 5 colors and there are 5 choices for sizes How many different t shirts are possible

Write the sum in summation notation using the given lower bound s a 2 2 3 3 4 45 5 6 KRA 6 7 8 7 8 9 ai

5 Compute 3k 2 k 2 Compute 2k 3 k 5