Basic Math Questions and Answers
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Basic MathDetermine whether the following function is even odd or neither f x x 2x x5 4x f x is an X choose your answer 1 point A table for f x is given below 4 V function because choose your answer choose your answer f x f x f x is not equal to f x nor f x 2 f x f x
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Basic MathWork Problem 3 20 points Consider the proposition A Prove it is valid by propositional logic 1 B A CA B BAC
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Basic MathApproximate the standard deviation for following GFDT Data 70 74 75 79 80 84 85 89 90 94 95 99 100 104 105 109 110 114 Frequency 1 1 2 7 8 11 12 24 12
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Basic MathThe graph below shows the numbers of orders received by a company for five months Number of orders 3200 3100 3000 2900 2800 2700 2600 I September October November December Month 4 a What was the greatest number of orders in a month orders b When did the number of orders have the greatest Increase O September to October O October to November O November to December January X
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Basic MathFind the area and the circumference of a circle with radius 3 cm Use the value 3 14 for x and do not round your answers Be sure to include the correct units in your answe 3 cm Area Circunference
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Basic MathDe re on Polynomials Question 10 3 f x x 1 Which information is true about f x Select one O f x is odd O f x is even Of x is neither even nor odd C We need more information to determine if f x is even or odd
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Basic MathDe More on Polynomials Question 2 Which of the following statements is true about this function Select one a f x x 3x C We cannot determine whether f x is even or odd Of x is neither even nor odd Of x is odd Of x is even Of x is both even and odd
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Basic MathAssume that you are the portfolio manager of the SF Fund an 8 million hedge fund that contains the following stocks The required rate of return on the market is 12 80 and the risk free rate is 4 50 What rate of return should investors expect and require on this fund Round your intermediate calculations to at least four decimal places Stock kaud Total O 31 12 17 26 26 62 21 76 Amount 2 800 000 800 000 2 400 000 2 000 000 8 000 000 Beta 1 80 1 75 3 50 0 90
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Basic MathMore on Polynomials Question 3 What is the remainder of x5 3x 6x 7 x 1 Select one O23 O 1 6 9 O 15
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Basic MathSequences and A pattern begins with two cubes and continues by adding a cube to each side as shown below Which recursive definition could be used to determine the number of exterior faces in stage 1 n Select one O f n f n 1 10 where f 1 8 O f n f n 1 8 where f 1 10 O f n 10 f n 1 2 where f 1 8 O f n 8 f n 1 2 where f 1 10 1 Stage 1 10 Exterior Faces Stage 2 18 Exterior Faces Stage 3 26 Exterior Faces
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Basic MathMore on Polynomials Question 1 Find the quotient of x 4x x 6 x 2 Select one Ox x 2 Ox 2x 3 Ox x 2 Ox 2x 3
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Basic MathIn the figure below all distances are in centimeters and all angles are right angles A straight line drawn from point A to point D would be how many centimeters long A F 5 G 12 H 13 J 16 K 17 C 5 B D
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Basic MathA board game uses the deck of 20 cards shown to the right Two cards are selected at random from this deck Calculate the probability of selecting a monkey on the first draw and a frog on the second draw both with and without replacement N 7 3 3 P S 20 20 30 40 5 com Two cards are to be selected with replacement Determine the probability the first card selected shows a monkey and the second shows a t 16 Type an integer or a simplified fraction 1 Two cards are to be selected without replacement Determine the probability the first card selected shows a monkey and the second shows Type an integer or a simplified fraction
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Basic Mathsider a collection of envelopes consisting of 3 red envelopes 1 blue envelope 3 green envelopes and 1 yellow envelope If two envelopes are selected at random with rep probability that both are green envelopes probability that both envelopes are green is e an integer or a simplified fraction EXTR
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Basic Mathng contains four batteries all of which are the same size and are equally likely to be selected Each battery is a different brand If you select two batteries at random use the cour armine how many points will be in the sample space if the batteries are selected with replacement without replacement With replacement size of the sample space is 16 sample points Without replacement size of the sample space is sample points m
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Basic Mathou decide to take a science course an English course and a mathematics course during the next term The available courses that you an take are listed in the table omplete parts a through e below Construct a tree diagram Choose the correct answer below Click here to view diagram c Click here to view diagram d Click here to view diagrama Click here to view diagram b Describe the sample space Choose the correct answer below OORT ORA BLT BLA GRT GRA PLT PLA ORT ORA OLT OLA BRT BRA BLT BLA GRT GRA GLT GLA PRT PRA PLT PLA OORL ORA OTL OTA BRL BRA BTL BTA GRL GRA GTL GTA PRL PRA PTL PTA OORT ORA OLT OLA BRT BRA BLT BLA GRT GRA GLT GLA x Determine the probability that literature is selected The probability is d Determine the probability that poetry and biology are selected The probability is Simplify your answer English Science Oceanography O Poetry R Biology B Literature L Geology G Physics P Trigone Algebr
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Basic MathLicense plates in a particular state are to consist of 4 digits followed by 2 uppercase letters a How many different license plates can there be in this state if repetition of letters and numbers is permitted b How many different license plates can there be in this state if repetition of letters and numbers is not permitted c How many different license plates can there be in this state if the first and second digits must be odd and repetition of letters and numbers is not d How many different license plates can there be in this state if the first digit cannot be 7 and repetition of letters and numbers is not permitted a There are 6760000 different possible license plates if repetition of numbers and letters is permitted b There are different possible license plates if repetition of numbers and letters is not permitted
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Basic Mathtrifecta at most racetracks consists of selecting the first second and third place finishers in a particular race in their proper order If there are ten entries in the trifecta race how t you purchase to guarantee a win must purchase tickets GIT
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Basic Mathbook search committee is considering 19 books for possible adoption The committee has decided to select 5 of the 19 for further consideration In how many ways can it o can select different collections of 5 books STEM
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Basic Mathtracks The music store mrent movie soundtracks in stock How many different selections of movie soundtracks Dle There are different possible selections of movie soundtracks a
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Basic Mathode on a smartphone consists of 2 digits and repetition of digit mine the number of possible two digit passcodes erson finds a smartphone and randomly enters 2 digits what is the probability that the correct passcode in mumber of possible two digit passcodes is whole number
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Basic Mathcomputer store a customer is considering 6 different computers 8 different monitors 9 ant printers and 2 different scanners Assuming that each of the components is compatible ne another and that one of each is to be selected determine the number of different ter systems possible There are different computer
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Basic Mathmust select and answer in any order two of eight essay questions of test T can select and answer the essay questions on her test in ways lify your answer Type an integer or a fraction BTLEY
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Basic Mathe Baker makes floral arrangements She has 17 different cut flowers and plans to US8 How many different selections of the 6 flowers are possible
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Basic MathExplain why an exponential function is used to model a set of data Choose the correct answer below The data increase rapidly and then continue to increase even more rapidly The data increase at a steady rane The data increase rapidly and then begin to decrease The data increase rapidly and then begin to lievell off
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Basic MathTemperature F 102 101 100 99 98 0 1 2 3 4 5 6 7 Hours after 8 A M The given graph illustrates the body temperature from 8 a m through 3 p the number of hours after 8 a m and y be the body temperature at time The temperature remains constant from 1 00 p m to 3 00 p m at
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Basic MathThis scatter plot is best represented by which kind of function 10 B 6 10 18 2 2 6 8 10
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Basic MathA manufacturer of tablets has total revenue given by the function R 65 and has total cost given by C x 12 500 45 where x is the number of laptops prodlaced and sold How many laptops must be produced and sold to break eves 1 114 O2 625 3 192 4 277
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Basic Mathssume that the probability of any newborn baby being a girl is 157 me probability is amplify your answer and that all births are independent If a family has three children no twins what is the probability of the event
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Basic MathAn online test of English spelling looked at how welll people spelled difficult words The bar graph below shows how many people per 100 spelled each word correctly For example the approximate number of people per 100 who spellied weird corres is 82 so a good estimate would be 80 In a group consisting of randomly selected people estimate how many more peo can correctly spell accommodation than supersede Number of People per 100 Spelling Various Words Correctly weird cemetery accommodation harass supersede inoculate
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Basic MathA rectangular field is 47 meters long and 25 meters wide Il fencing costs 12 per yard how much will it cost to enclose the field 1 yard 0 9 meters 1920 144 1728 960
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Basic Math2 027 people were surveyed and asked to list their favorite activities Find an estimate for the number of people who said swimming was their favorite activity un the graph provided Favorite Activities Walking 40 Cycling
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Basic MathConvert 90 Fahrenheilt to its equivalent temperature on the Celsius scale usin appropriate formula bellow Round to the nearest tenth of a degree F C 32 C F 32 194 Celsius 32 2 Celsius 18 Celsius
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Basic MathUse the table below along with dimensional analysis to convert the given unit to unil indicated 16 pirits to gallons 8 gallons 2 gallons 4 gallons 0 5 gallons 2 pints pt 4 quarts 1 gallon 1 cup c 1 gallion gal 128 ounces 62
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Basic MathConvert the given measurement to the unit indicated using the table below Ro answer to the nearest thundredth 628 kg to lb 16 oz 1 lb 2000 1 T 1 oz 28 g 1 lb 045 kg 282 60 lb 2826 lib
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Basic MathWhich of the following is a counterexample which shows that the is false If you add one to any number the result is odd 06 1 7
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Basic Mathobability of selecting a yellow bird or a 4 is an integer or a simplified fraction N Je M 3 Xx 2 3 4
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Basic Mathboard game uses the deck of 20 cards own to the right Two cards are selected at 1 ndom from this deck Calculate the obability that both cards selected have a both with and without replacement 2 3 X3 4 5 1 2 3 4 5 X 5 2 45 LI wo cards are to be selected with replacement Determine the probability that both cards selected have a one on integer or a simplified fraction
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Basic Maththe blank ability problems that require obtaining a favorable outcome in each of the given events are mability problems that require obtaining a favorable outcome in each of the given events are probability problems probability pro
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Basic Mathor two events A and B if the occurrence of either event in no way affects the probability of the occurrence of the other event then the two events are considered to be GILD or two events A and B if the occurrence of either event in no way affects the probability of the occurrence of the other event then the two events are considered to be events ev
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Basic MathExtra Credit A chemist has 14 quarts of a solution that has 24 acid and another solution which has 18 acid How much of the second solution should he use to end up with a solution that has 20 acid A
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Basic MathThis question 2 point s possible Submit quiz Comprehensive problem Over the past few years Microsoft founder Bill Gates net worth has fluctuated between 20 billion and 130 billion In early 2006 it was about 26 billion after he reduced his stake in Microsoft from 21 percent to around 14 percent by moving billions into his charitable foundation Let s see what Bill Gates can do with his money in the following problems GIOCCE a Manhattan s native tribe sold Manhattan Island to Peter Minuit for 24 in 1626 Now 387 years later in 2013 Bill Gates wants to buy the island from the current natives How much would Bill have to pay for Manhattan if the current natives want a 6 percent annual return on the original 24 purchase price b Bill Gates decides to pass on Manhattan and instead plans to buy the city of Seattle Washington for 60 billion in 10 years How much would Bill have to invest today at 9 percent compounded annually in order to purchase Seattle in 10 years c Now assume Bill Gates only wants to invest half his net worth today 13 billion in order to buy Seattle for 60 billion in 10 years What annual rate of return would he have to earn in order to complete his purchase in 10 years d Instead of buying and running large cities Bill Gates is considering quitting the rigors of the business world and retiring to work on his golf game To fund his retirement Bill would invest his 20 billion fortune in safe investments with an expected annual rate of return of 8 percent He also wants to make 40 equal annual withdrawals from this retirement fund beginning a year from today running his retirement fund to 0 at the end of 40 years How much can his annual withdrawal be in this case a The amount Bill would have to pay for Manhattan if the current natives wanted a 6 percent annual return on the original 24 purchase price after 387 years is billion Round to two decimal places b The amount Bill would have to invest at 9 percent compounded annually in order to purchase Seattle for 60 billion in 10 years is S billion Round to two decimal places c If Bill Gates only wants to invest half his net worth today 13 billion in order to buy Seattle for 60 billion in 10 years the annual rate of return he would have to earn in order to complete his purchase in 10 years is Round to two decimal places d If Bill invests his 20 billion fortune in safe investments with an expected annual rate of return of 8 percent and he also wants to make 40 equal annual withdrawals from this retirement fund beginning a year from today the amount of his annual withdrawal in this case would be billion per year Round to two decimal places
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Basic Mathall orders that used Paypal all orders under 100 all orders that were over 100 and used a credit card Click the icon to view the sales transactions East West North West South West West West South South East North West West East West Transactions data use Excel s filtering capability to extract Paypal Credit Credit Paypal Credit Paypal Credit Paypal Paypal Paypal Credit Paypal Credit Paypal Paypal Paypal Web Web Web Email Web Email Web Web Web Email Web Web Web Web Web Web r Book Book DVD Book DVD DVD Book DVD DVD Book DVD DVD Book DVD DVD Book Sale Transactions Region East West North West South West East West West South South East North East West West East West Payment Source Paypal Web Credit Web Credit Web Email Web Email Web Web Web Web Email Web Web Web Web Web Paypal Credit Paypal Credit Credit Paypal Paypal Paypal Credit Paypal Credit Credit Paypal Paypal Paypal Web Web Amount 20 43 17 19 24 54 24 94 14 79 18 13 184 18 23 24 17 66 24 55 24 86 21 97 20 24 150 06 20 21 22 76 19 66 21 88 Product Book Book DVD Book DVD DVD Book Book DVD DVD Book DVD DVD DVD Book DVD DVD Book 10
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Basic MathThis question 2 point s possible Present value of complex cash flows You have an opportunity to make an investment that will pay 200 at the end of the first year 300 at the end of the second year 200 at the end of the third year 400 at the end of the fourth year and 300 at the end of the fifth year a Find the present value if the interest rate is 8 percent Hint You can simply bring each cash flow back to the present and then add them up Another way to work this problem is to either use the NPV function in Excel or to use your CF key on a financial calculator but you ll want to check your calculator s manual before you use this key Keep in mind that with the NPV function in Excel there is no initial outlay That is all this function does is bring all the future cash flows back to the present With a financial calculator you should keep in mind that CF is the initial outlay or cash flow at time 0 and because there is no cash flow at time 0 CF 0 b What would happen to the present value of this stream of cash flows if the interest rate were zero percent a What is the present value of the investment if the interest rate is 8 percent Round to the nearest cent b What is the present value of the investment if the interest rate is zero percent Round to the nearest dollar Submit quiz
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Basic MathRecently a certain bank offered a 5 year CD that earns 2 07 compounded continuous Use the given information to answer the questions a If 10 000 is invested in this CD how much will it be worth in 5 years approximately Round to the nearest cent b How long will it take for the account to be worth 35 000 approximately years Round to two decimal places as needed