College Math - Others Questions

A rain gutter is to be installed around a house whose foundation is shown to the right Find the perimeter of the house then find the total cost of the gutter The gutter costs 4 34 per ft The perimeter is The total cost of the 34 ft 19 ft 73 ft 31 ft

Find the perimeter of the rectangle 2 cm by 13 cm The perimeter of the rectangle is m cm C

A rectangular table is twice as long as it is wide What is the perimeter of a table if it measures 3 ft by 6 ft The perimeter of the table is Type a whole number or a decimal

Use a table of cumulative areas under the normal curve to find the z score that corresponds to the given cumulative area If the area is not in the table use the entry closest to the area If the area is halfway between two entries use the z score halfway between the corresponding z scores If convenient use technology to find the z score 0 052 Click to view page 1 of the table Click to view page 2 of the table The cumulative area corresponds to the z score of Round to three decimal places as needed

d What fallacy is in evidence here Mom I think Michael Jackson is the best pop musician ever Dad Are you nuts He was a child molester

c Write a true sentence in conversational English that you would symbolize as All Pare Q Say explicitly what P and Q mean

c What fallacy is in evidence here Cashier Would you like to round up to the next dollar to help prevent birth defects Customer Not today Cashier Oh so you think babies should have birth defects i

d d b d V rVp

8 a Give an example of a slippery slope fallacy b Give an example of an inappropriate appeal to authority fallacy 19

5 Let set A be the set of even integers strictly between 12 and 19 and let B be the set of integra greater than 15 and less than or equal to 20 If the universe of discourse is the set of integers that are at least 10 and at most 25 find the following a A b B c An B d AUB

CHAPTER 7 EXCEL ASSIGNMENT You are ordering new computers from COMPWORLD They offer you a choice of discount plans Plan A offers you 14 10 and Plan B offers you 25 4 IMPORTANT Please be sure you enter the values correctly for the discount such as 0 14 and 0 10 for Plan A and 0 25 and 0 04 for Plan B into the Spreadsheet Which of the plans is best for you Create an excel spreadsheet similar the one displayed above to show which plan is best for you

Suppose that we have a sample space with five equally likely experimental outcomes E E E3 E4 E5 Let A E E3 B E E C E E3 E5 a Find P A P B and P C P A 2 5 P B 2 5 P C 3 5 b Find P AUB P AUB 4 5 Are A and B mutually exclusive They are c Find AC Enter your answer in set notation AC M X Find C Enter your answer in set notation CC Find P AC and P C P AC 3 5 P C 2 5 mutually exclusive d Find A U BC Enter your answer in set notation AUBC Find P A U BC P AUBC 3 5 e Find P BUC P BUC 4 5 X X K

Identify the level of measurement of the data and explain what is wrong with the given calculation In a set of data internet speeds are represented as 100 for slow 200 for medium and 300 for fast The average mean of the 798 internet speeds is 231 2 The data are at the level of measurement What is wrong with the given calculation OA The true average mean is 195 4 OB Such data should not be used for calculations such as an average mean OC One must use a different method to compute the average mean of such data OD There is nothing wrong with the given calculation

A student eamed grades of B C A B and D Those courses had these corresponding numbers of credit hours 5 3 3 3 and 1 The grading system assigns quality points to letter as follows A 4 B 3 C 2 D 1 F 0 Compute the grade point average GPA If the dean s list requires a GPA of 3 00 or greater did this student make the dean s list The student s GPA is Type an integer or decimal rounded to two decimal places as needed This student make the dean s list because their GPA is 3 00

c Given the following logical circuit with three inputs A B and C A44 DYDD L Use the boolean algebra notation and write down the boolean expression of the output of this circuit ii Simplify the logical expression in i Explain your answer 4 mar 15 mar

Which of the following is NOT a requirement of the Combinations Rule Cr n rl n r for items that are all different Choose the correct answer below OA That there be n different items available OB That order is taken into account consider rearrangements of the same items to be different sequences OC That order is not taken into account consider rearrangements of the same items to be the same OD That r of the n items are selected without replacement

K On their first date Kelly asks Mike to guess the date of her birth not including the year Complete parts a through c below a What is the probability that Mike will guess correctly Ignore leap years Type an integer or a simplified fraction b Would it be unlikely for him to guess correctly on his first try C OA It is impossible for Mike to guess correctly on his first try as the probability of a correct guess is 0 OB No it is not unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very high OC Yes it is unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very high O D No it is not unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very low OE It is impossible for Mike to not guess correctly on his first try as the probability of a correct guess is 1 OF Yes it is unlikely for Mike to guess correctly on his first try as the probability of a correct guess is very low c If you were Kelly and Mike did guess correctly on his first try would you believe his claim that he made a lucky guess or would you be convinced that he already knew when you wes as the probability of a correct guess is Mike

U How many binary sequences of length 10 start with a 1 and end with a 200 45022896 1 100003 E 2

d The function is given by f x ln 4x 2 where 2 R and r i Find an expression for x in its simplest form ii State the range of f z iii Solve the equation z 1

a List the elements of the following sets i rr Z r 6 ii zx Z r 9 iii zr ENA z mod 2 1 I 10

Determine which functions are solutions of the linear differential equation Select all that apply y y y y 0 X ex e x xe X

D Given the following truth table for a four input logic circuit ABCD Out 0000 0 0001 0 0010 0 0011 0 0100 a 0101 0 0110 0 01110 1000 1001 10 10 10 11 1100 1101 1110 1 1 1 1 0 7771000 i Write the sum of products expression for this truth table ii Use the laws of Boolean algebra to reduce this expression to its simplest form iii Translate the truth table into its corresponding Karnauph map iv Minimise the sum of production expression in i using karnauph map 2 ma 2 ma 2 ma 2 ma

The domain of discourse consists of all positive intergers Z What are the truth values for each of the following i Vzy r y ii Vzy x y 0 iii 3zVy r y iv 3z3y ry 0

10 Let p and q be two propositions Which one of the following logical expressions is equivalent to p g Select all the apply OpVq Opv q

a Re write the following statements without any negations on quantifiers i rP x ii yP x y iii 3rVyP x y

Find the Wronskian for the set of functions e x e 2x

Given the coordinate matrix of x relative to a nonstandard basis B for R find the coordinate matrix of x relative to the standard basis B 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 2 x s x B 2 1 1 2 1 3 2

Let p and q be the following propositions concerning a positive integer n where p means n is divisible by 3 and q means n is even Which one of the following logical expressions is a correct formalisation of the sentence below n isn t neither divisible by 3 nor it is an odd number Choose ONE option 0 p g 0 p q 0 q p 0 p q

Which one of the following correspond to statement Every comedian is funny where C x is the statement x is comedian and F x is the statement x is funny and the domain consists of all people Choose ONE option Ox C x F x OVx C x F x Ox C x F x Choose ONE option Ox C x F x OVx C x F x Ox C x F x Vx C x F x 3 4 5 6 7 8 9 10

2 Which of the following functions are one to one Select all that apply Of2 Z Zwith f2 x x4 Of3 RR with f3 x e Ofi Z Zwith fi x x Ofa R Zwith f x

3 Which one of the following degree sequences cannot represent a simple graph O 1 2 2 3 O2 4 3 3 O 2 2 2 2 O 3 3 3 3

5 What is the number of edges in a complete graph K10 O 10 O45 O 90

Which one of the following correspond to statement Every comedian is funny where C x is the statement x is comedian and F x is the statement x is funny and the domain consists of all people Choose ONE option Ox C x F x Vx C x F x Or C x F x

6 In how many ways a committee of 5 members can be selected from 6 men and 5 women consisting of 3 men and 2 women 200 O 180 O 720 None of these options

Determine which functions are solutions of the linear differential equation Select all that apply y y y y 0 Ox O ex O e x Oxe x

Find the Wronskian for the set of functions x sin x cos x

Find the transition matrix from B to B B 1 0 0 0 1 0 0 0 1 B 0 0 6 1 7 0 4 0 6

Find the coordinate matrix of x in R relative to the basis B x B B 8 11 0 7 0 10 1 4 6 x 10 23 12 8

Find the coordinate matrix of X relative to the standard basis for M3 1 2 3 0 X

Find the coordinate matrix of x in Rn relative to the standard basis x 3 8 5 7 x s 000

2 5 2 sin 7T 2 5 an 37 Use an identity 3 6 3 6 6 to find the exact value

a Decide if x y EN x y 25 is a function b Given f R R f x x 2 5 mod 5 and g Z Z 9 x x 4x 18 i check if f A 9 A where A 0 4 nz 2 ii find f 2 4 nZ g 3 1 c Sketch on separate sets of axes X 1 5 and X 2 4 and therefore X 1 5 2 X 2 4 4

Complete the following Note Do not round intermediate calculations Round your final answers to the nearest cent Amount of invoice 040 Terms Invoice date Answer is complete but not entirely correct Actual partial payment made Date of partial payment Amount of payment to be credited Balance outstanding

a Calculate the single equivalent discount rate for each company Note Do not round intermediate calculations Round your final answers to the nearest hundredth percent Answer is complete but not entirely correct Single equivalent discount rate Company A Company B 9 50 11 00 b Which of the following companies A or B gives a higher discount Use the single equivalent discount rate to make your choice Company A Company B

Complete the following derivation using the following selection of derived rules only none of the basic rules DNE DNI Comm CommV DeM DSL DSR MT Trans HS Def E and Def I 1 P Q 2 P R 3 PV Q n Q R Premise Premise Premise Goal

A box contains one each of 1 5 10 20 and 100 bills It costs 12 to reach in and withdraw one bill What is the expected value

Complete the following derivation using the following selection of derived rules only none of the basic rules DNE DNI Comm CommV DeM DSL DSR MT Trans HS Def E and Def I 1 A B 2 Q P 3 4 Q PV S T n T S Premise Premise Premise Premise Goal

using exactly one application each of E DeM CommV and Def E 1 P 2 P P A D n D A Premise Premise Goal

2 1 ok int rences Required information The following information applies to the questions displayed below Calvin reviewed his canceled checks and receipts this year 2023 for charitable contributions which included an antique painting and IBM stock He has owned the IBM stock and the painting since 2005 Donee Hobbs Medical Center State Museum A needy family United Way a Calvin s AGI is 150 000 Item IBM stock Antique painting Food and clothes Cash Charitable contribution deduction Carryover Cost 6 000 5 500 500 18 000 Calculate Calvin s charitable contribution deduction and carryover if any under the following circumstances Note Leave no answer blank Enter zero if applicable FMV 32 000 3 300 300 18 000

Required information The following information applies to the questions displayed below In each of the following independent cases indicate the amount 1 deductible for AGI 2 deductible from AGI and 3 deductible neither for nor from AGI before considering income limitations or the standard deduction Note Leave no answer blank Enter zero if applicable a Ted paid 84 rent on a safety deposit box at the bank In this box he kept the few shares of stock that he owned Deductible for AGI Deductible from AGI Not deductible