Sets and Relations Questions and Answers

5 Insurance Research local average insurance costs for your age gender etc https www carinsurancccomparison com auto insurance rates age gender a What would be your monthly cost for insurance b What would be your annual cost for insurance 6 Maintenance Research the following information on oil changes a Cost for an oil change b How often you should change your oil c How many oil changes are needed per year Reseach the following information related to tires a Why tires should be rotated b How often tires should be rotated c An estimate of the cost of 4 new tires 7 Yearly Registration Research the approximate cost to regsiter a vehicle each year and list below

1975 1980 1985 1990 1995 2000 2005 2010 9 05 13 74 12 43 10 13 7 93 8 05 5 87 4 69 1 In what year were the mortgage rates the lowest The mortgage rates were lowest in 2 Write the function notation that describes the mortgage rate in 1985 The function notation describing the morgtage rate in 1985 is 3 What was the rate for 30 year fixed rate mortgage in 1985 In 1985 the mortgage rate was

In a linguistics course the professor asked the students to list all the languages they speak besides English The table lists the answers of eight students Using the table complete the following a Choose a set that is equal to the set of languages spoken by Melissa Choose one b Choose a set that is equivalent but not equal to the set of languages spoken by Scott Choose one c Find two students whose sets of spoken languages are neither equal nor equivalent Choose one and Choose one X Student Alonzo Kareem Scott Elsa Melissa Rafael Juan Set of spoken languages Welsh Greek Mandarin Urdu Arabic Italian Mandarin Welsh Vietnamese Mandarin Arabic Xhosa Mandarin Arabic Italian Bengali Russian Urdu Portuguese Korean Norwegian French Welsh Bengali

The table lists eight planets that produce galaxium It also shows the buying and selling arrangements for galaxium among the planets Planet Alir Bilk Jas Lamy Piaf Sydow Tixo Wil a X Buys galaxium from Alir Lamy Tixo Alir Bilk Piaf Alir Jas Piaf Sydow Alir Jas Lamy Piaf Alir Piaf b Y Alir Sydow Tixo All eight planets Alir Tixo Wil Let U be the set of all eight planets U Alir Bilk Jas Lamy Piaf Sydow Tixo Wil Let X be the set of planets Sydow buys galaxium from Let Y be the set of planets Lamy does not buy galaxium from Find the sets below Write each answer in roster form or as Sells galaxium to All eight planets Alir Bilk Tixo Jas Tixo Alir Lamy Tixo Bilk Lamy Piaf Tixo Jas Sydow Tixo Alir Sydow Tixo Wil Tixo Wil Alir Lamy Tixo X 0 0 Bilk Jas Piaf Sydow Wil

Find the 5 number summary for the data shown X 5 6 6 6 9 6 13 3 14 6 21 9 23 7 26 29 5 5 number summary Dercontile method described in your

Espa ol Serial numbers for a product are to be made using 4 letters followed by 2 digits The letters are to be taken from the first 9 letters of the alphabet with no repeats The digits are taken from the 10 digits 0 1 2 9 with no repeats How many serial numbers can be generated

A population gathers plants and animals for survival They need at least 340 units of energy 300 units of protein an 8 hides One unit of plants provides 30 units of energy 10 units of protein and 0 hides One animal provides 20 units of energy 25 units of protein and 1 hide Only 27 units of plants and 29 animals are available It costs 20 hours of labor to gather one unit of a plant and 12 hours for an animal Find how many units of plants and animals should be gathered to meet the requirements with a minimum number of hours of labor The population should gather Simplify your answers units of plants and www animals

valid ticket price Write a shell text based program called valid ticket price py that prompts the user for their age and depending on the user s response prints out 1 of the 3 sentences below Children 5 and under are free so your price is 0 Seniors 60 and over are 1 2 off so your price is 10 Your price is 20 The program must validate the input by forcing the user to type in a number between 0 and 100 As long as the user types in numbers less than 0 or greater than 100 the program should print an error and ask the user to type in the age again Note the program need not worry about the user typing in letters instead of numbers Below is an example of a confused user using the program PS C Users ssiva Desktop python valid ticket price py What is your age 5 That is not a valid age Number must h What is your

Suppose we want to choose 6 objects without replacement from 9 distinct objects a How many ways can this be done if the order of the choices is not relevant 0 b How many ways can this be done if the order of the choices is relevant

Graph the solution set of the inequality where x28

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9 10 Points DETAILS AUFEX Use the given information to find the nu n A 26 n B 34 n C 40 U A R R R

rk he the monthly principal and is 65 000 and the annual p

absolute minimum of N t G t if N t 10 1 04 t 22 and G t 18 89 t in the interval 0 20

A new resort opens in Costa Rica that is managed by a retired math professor with a strange sense of humor Patrons can choose one of three payment options In each case the cost decreases each day and you have to leave when it reaches zero Option 1 Per person cost is 300 the first day and in each successive day you subtract 10 times the square of the number of days you ve been there from the previous day s cost Option 2 Per person cost is 200 the first day then decreases by 25 every day Option 3 Per person cost is 500 the first day 250 the second day and in general every day is half as much as the previous day Part 0 3 Part 1 of 3 a Which option is the best if your primary goal is to spend the least amount of money How much would you spend and for how many days You would spend If your goal is to spend the least amount of money then the cheapest option is Option Choose one and stay days 23 V X

22 20 18 16 144 12 10 8 09 6 4 N 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Part 1 6 Part 2 of 6 b Find the value for r Round your answer to at least three decimal

The given contingency table lists the cross tabulation of whether adults for whom answering the question was appropriate feel their life is exciting routine or dull for males and females among the 1 884 appropriate adults in a certain country Using the letters given in the table find the number of respondents in each of the following sets in parts a through d a E contains 955 respondents b EnE contains 517 respondents c DUM contains 888 respondents d E contains respondents CICAXE Life Classification Males M Females F 517 Exciting E Routine R 479 Dull D 58 438 356 36

3 How many different letter permutations are there in each of the following words a FACTOR no restrictions b FACTOR if the letters ACT must be kept together but not necessarily in that order c no restrictions PARALLELEPIPED d SIERPINSKI if the permutations must begin with S and end in a vowel

A survey of a machine shop reveals the following information about its 95 employees 44 employees can run a lathe L 49 employees can run the milling machine M 56 employees can operate a punch press P 27 employees can run a lathe and a milling machine 19 employees can run a milling machine and operate a punch press 24 employees can run a lathe and operate a punch press b 10 employees can operate all three machines Construct a labelled Venn diagram to represent these data complete with numbers in each section n LNP n LU M n S Evaluate the following c How many employees cannot operate any of the three machines

Let U a b c d e f g h be the universal set Let A a e d f g B h e c g and C e a d List the elements of the following sets If there is more than one element write them separated by commas Do not list elements more than once An B 2 B A B C UA

The Wright family is selecting a furniture set A furniture set has a bed a desk and a dresser There are 2 beds 2 desks and 3 dressers to select from How many different furniture sets could they select 0 X Espa ol

ecall the group Zg 0 1 2 3 4 5 6 7 is a group under addition Find 3 distinct generators for Zg

2 a x 1 3 3 b x 2 4 4 C x 3 5 d x 4 2 6 f x 2 1 7 Variables List the variables names in alphabetical order and corresponding values at line 7 Question 2 1 point Variable Name Question 3 1 point Variable Name Question 4 1 point Variable Name A Variable Value A A Variable Value A A Variable Value A

n animal sanctuary houses a variety of animals To understand the workload of the sanctuary s veterinarians the director looked at which types of animals are treated or not treated by various doctors The Venn diagram shows this information for three of the doctors All animals housed Treated by Dr Tanaka Cats Elks Horses Turtles Dogs Goats Treated by Dr Campbell Birds Treated by Dr Coleman Koalas Mice Zebras Frogs Otters Quails Iguanas Snakes a Select all the doctors who do not treat elks O Dr Tanaka O Dr Coleman O Dr Campbell b How many types of animals are treated only by Dr Campbell c Which types of animals are treated by neither Dr Tanaka nor Dr Coleman nor Dr Campbell Choose all that apply O Dogs Birds Goats O Otters O Cats O Horses O Quails Elks Koalas O Iguanas O Snakes O Turtles X Frogs O Mice O Zebras

9 Based on the following table design the three stages of reproducible workflow includes the work you can do and the folder structure in each stage reference study case in chapter 3 Age Grip Frailty strength Height Inches 65 8 71 5 69 4 68 2 67 8 68 7 69 8 70 1 67 9 66 8 Weight Pounds 112 30 136 19 153 45 142 22 144 29 123 50 141 51 136 23 112 17 120 39 30 31 29 28 24 26 22 20 19 31 N N N Y Y N Y Y N N

A certain stock has low volatility on some days and high volatility on other days Suppose that the probability of a low volatility day is p and of a high volatility day is q 1 p and that on low volatility days the percent change in the stock price is N 0 o while on high volatility days the percent change is N 0 0 with a 02 Let X be the percent change of the stock on a certain day The distribution is said to be a mixture of two Normal distributions and a convenient way to represent X is as X I1X1 I2X2 where I is the indicator r v of having a low volatility day I2 1 4 X N 0 03 and I1 X1 X2 are independent a Find Var X in two ways using Eve s law and by calculating Cov I X 12X2 11X1 12X2 directly b Recall from Chapter 6 that the kurtosis of an r v Y with mean and standard deviation is defined by E Y 04 Kurt Y 3 Find the kurtosis of X in terms of p q oi o fully simplified The result will show that even though the kurtosis of any Normal distribution is 0 the kurtosis of X is positive and in fact can be very large depending on the parameter values

Which one of the sets given below is the power set of the set 7 8 9 O 7 8 9 7 8 7 9 8 9 O 7 8 9 O 0 7 8 9 7 8 7 9 8 9 7 8 9 O 0 7 8 9 7 8 7 9 8 9 7 8 9 O 0 7 8 9 7 8 7 9 8 9 7 8 9

Consider the following sets A 6x x EN B 3x x Z C 3x x N Which of the statements given below are true Select all that apply OACB ACC OBCA OBCC

Let W be the following set W 1 5 6 Which of the sets given below equal to W Select all that apply 1 1 6 6 6 O 1 1 5 6 6 1 5 6 9 6 1 5

sets S 1 2 3 4 5 T 2 3 4 5 U 1 3 5 Which of the statements given below are true Select all that apply SCT OSCU OTCS OTCU

The table below shows a student s quiz scores on six q Scores 5 3 8 3 8 5 1 9 4 5 5 Find this student s mean and median quiz score mean

Graphing Linear Equations by plotting points Complete the table below for the equation y 2x 2 Then use two of the ordered pairs to graph the equation I 2 1 0 1 2 y 2x 2 Y Ordered Pair 10 5 5 10 5 y 5 X 10

Margo borrows 700 agreeing to pay it back with 6 annual interest after 16 months How much interest will she pay Round your answer to the nearest cent if necessary

Given x y E Z define the equivalence relation x y if x y mod 2 0 a Find the equivalence class of 0 b Find the equivalence class of 1

Solve for HLDE with constant coefficients D 3D 2D 2D 12 0 Final Answer 2x 3x y c e x c2e x X c3cos x c4sin x

r solution from the beginning and check each step carefully veh r solution from the beginning and check each step carefully min

4 3 marks Let R be a commutative ring Show that R N R has no non zero nilpotent elements

a 1 7 8 9 11 13 15 16 22 b 4 5 6 6 6 7 7 8 c 1 1 1 1 0 8 0 5 0 2 0 1 0 2 0 5 0 5 2 Using the student s t distribution and assuming a 95 confidence interval what is the statistica uncertainty in the mean value calculated for set a 2 points 3 Using Gaussian statistics and assuming a 95 confidence interval what is the statistica uncertainty in the mean value calculated for set a 2 points

The three data sets have the same mean and range but is the variation the same a 3 5 5 17 29 29 31 b 3 4 5 17 29 30 31 c 3 3 3 17 31 31 31 Part 0 3 Part 1 of 3 The variation for data set a is Choose one the variation for data set b the same as

Question 15 of 21 Production in Units Production Costs Blossom Corporation manufactures a single product Monthly production costs incurred in the manufacturing process are shown below for the production of 3 000 units The utilities and maintenance costs are mixed costs The fixed portions of these costs are 300 and 200 respectively Direct materials Direct labor Utilities Property taxes Indirect labor Supervisory salaries Maintenance Depreciation a Costs 3 000 7 508 18 287 2 100 1001 4 505 1 902 1 100 2 402 Identify the above costs as variable fixed or mixed 10 E

Consider the following system of equations 0 X 5X 2x3 4x4 2x 10x x3 2x4 3 X 5x 4x3 8x4 2 Row reduce the augmented matrix of the system Order the columns from x to x4 X Identify the free variables from the row reduced matrix Select all that apply 0x 0x X3 4 Use back substitution to write the variables corresponding to the leading variables in terms of the free variables State the resulting som X2 X3 2 0 1 S 5 t

Part 2 Unfortunately the wind also plays a role in the destination Now calcu add the wind vector in orange to the head of the blue vector Using ve Month 1 Month 2 2 squares south 3 diagonal squares southwest North America Canada Massachusetts Month 3 No wind Month 4 diago

measuring from 0 north clockwise Part 1 Using the map below chart out a course of 5 squares a month starting from Map each of these vectors using a blue pencil North America United States Canada Massachusetts

You want to be able to w terms Find how much th dollar Regular withdrawal Interest rate Frequency Time

https www webassign net web Student Assignment Draw a Venn diagram for the relationship AUBNC A C B

Bb Dis W Do Bb Th Do Bb Fo Bb Th https www webassign net web Stud 7 10 Points DETAILS U SMITHNN Use set notation to identify the shaded port B

7 vrednu b 0 1 O 2 3 4 U B A

Practice 1 In a survey of 500 homeowners 240 said they planted peppers 165 said they planted spinach and 142 said they planted garlic If 82 of the homeowners planted only peppers 45 planted only spinach 22 planted only garlic and 36 said they planted all three how many of the homeowners planted exactly two of the three vegetables Draw and fill out a Venn Diagram Practice 2 If a troupe of acrobats must wear different color schemes and there are three different colors of shirts and three different colors of tights how many different acrobats are in the troupe Practice 3 In how many ways can a committee be formed with a chair a vice chair a secretary and 4 additional people all chosen from a group of 10 people

In an orchestra 21 people can play stringed instruments 17 can play brass and 14 can play percussion Further 8 of the performers can play both strings and brass whereas 5 can play both strings and percussion If no one can play all three types of instruments what are the maximum and minimum numbers of people in the orchestra Hint Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown say x

Suppose that n E N and that S is a set with S n How many ways are there to define a binary operation on S How many ways are there to define a commutative binary operation on S