Linear Algebra Questions and Answers

If the pointer in the figure is spun twice find the probability that the pointer lands on green and then red The probability is a fraction Simplify your answer Y

Find the area of the parallelogram The area is Simplify your answer Type a whole number or a decimal 11 cm 16 cm

Find the area The area is Simplif 1 of a 6 7 yd square zyd 6 2 yd

A certain car model was expected to get 526 miles highway on 20 gallons of gas What was the mean number of miles per gallon mpg The mean number of miles per gallon mpg is Round to the nearest tenth as needed AL

In exercises 1 3 determine the apportionment using Hamilton s Method 1 A college offers tutoring in Math English Chemistry and Biology The number of students enrolled in each subject is listed below If the college can only afford to hire 15 tutors determine how many tutors should be assigned to each subject Math 330 English 265 Chemistry 130 Biology 70 2 Three people invest in a treasure dive each investing the amount listed below The dive results in 36 gold coins Apportion those coins to the investors Alice 7 600 Ben 5 900 Carlos 1 400 3 A small country consists of five states whose populations are listed below If the legislature has 119 seat anportion the seats

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

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

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

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

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

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 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

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

Required information The following information applies to the questions displayed below This year Diane intends to file a married joint return Diane received 190 700 of salary and paid 9 250 of interest on loans used to pay qualified tuition costs for her dependent daughter Deb This year Diane has also paid moving expenses of 5 050 and 29 900 of alimony to her ex spouse Jack who she divorced in 2013 Note Round your intermediate calculations and final answer to the nearest whole dollar amount a What is Diane s adjusted gross income

3 20 pts If the triangular block shown below is in static equilibrium calculate the magnitude o forces F and P point 0 0 0 0 F B 300 mm 150 N 400 mm 500 mm F C P 150 N D 600 mm

The function h x 3f x 1 is created from transformations of the function f x

The function h x f 3x 4 is created from transformations of the function f x

HOW DO YOU SEE IT A research group surveys parents and coaches of high school students about whether competitive sports are important in school The two way table shows the results of the survey Role Important Yes No Total Parent 880 120 1000 Coach 456 45 501 a What does 120 represent b What does 1336 represent c What does 1501 represent Total 1336 165 1501

Date Transaction 1 Nov Beginning balance 40 00 4 Nov Purchases 70 00 6 Nov Purchases 40 00 7 Nov Sales 100 00 Calculate the cost of ending inventory after the Nov 7 sale per LIFO Multiple Choice 1 100 2 120 3 500 2 200 1 020 2 280 20 00 22 00 24 00 60 00 Total 800 00 1 540 00 960 00 6 000 00 3

on Find the exact volume of the solid obtained by revolving the region bounded by the graph of e y 4 f y and by y In 4 around e y 2 1 the y axis Hint Use the disk method

Given 6 6 kilometers is one side of a golden rectangle find the length of the other side Notice that the other side could be either longer or shorter than the given side Use the approximation 1 62 Round to two decimal places A 10 69 km or 4 07 km B 17 29 km or 2 52 km OC 10 69 km or 0 25 km OD 17 29 km or 0 40 km

To approximate the area of a lake a surveyor walks around perimeter of the lake taking the measurements shown in illustration Using this technique what is the approximate of the lake Completed in 1902 in New York City the Flatiron Building is triangular shaped and bounded by 22nd Street Broadway 5th Avenue The building measures approximately 87 feet the 22nd Street side 190 feet on the Broadway side and feet on the 5th Avenue side Approximate the ground area covered by the building 8 5 in 35 ft 40 ft 17 in For no 1 80 ft 4511 For no 2 8 5 in 20 ft 100

A math tutor working with a small study group has classified students in the group by whether or not they scored 95 or above on each of three tests The results are shown in the Venn diagram to the right Use the Venn diagram to represent the set of students who scored 95 or above on exam 2 and exam 3 in roster form possible Choose the set of students who scored 95 or above on exam 2 and exam 3 O A Gus Ny Roz Don Jen Ben Eva Flo O B Gus Ny Ben Eva Flo OC Lon Cam Al Hui OD Roz Don Jen Exam 1 95 Mel Oli Ken Pat Ev

Are the sets equivalent A Larry Moe Curly Shemp B Posh Sporty Baby Scary O Yes O No

The point slope form of the equation of the line with slope 3 passing through the point 1 2 is

Find the slope of the line through P and Q P 2 8 Q 0 0

he credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes The remaining credit after 42 inutes of calls is 24 96 and the remaining credit after 58 minutes of calls is 23 04 What is the remaining credit after 66 minutes of calls Remaining credit in dollars Calling time in minutes 0

Submit Answer 1 Points DETAILS Math 110 Course Resources Marginal Analysis Elasticity Course Packet on elasticity of demand and finding the unitary price point Given the demand equation x 40 0 where p represents the price in dollars and x the number of units determine the value of p where the elasticity of der 5 Price p dollars This is the price at which total revenue is O minimized

Marginal Analysis Elasticity Course Packet on elasticity of demand Given the demand equation x 10 where p represents the price in dollars and x the number of units determine the elasticity of demand when the price p is equal to 2 20 P Elasticity of Demand Therefore demand is O elastic O unitary Oinelastic when price is equal to 2 and a small increase in price will result in O little to no change in total revenue O a decrease in total revenue O an increase in total revenue

Work required Find the determinant 0 2 C

Work required Use Cramer s Rule to find the solution to the system of linear equations 2x y 10 3x 2y 1

Is it true or false that if the coefficient matrix for a linear system has a determinant that is not equal to zero that

road with lanes A is known to s 520 ft and the PI is 2600 whicle speed the ave a coefficient 3 52 A freeway exit ramp has a single lane and consists entirely of a horizontal curve with a central angle of 90 degrees and a length of 628 ft If the distance cleared from the centerline for sight distance is 19 4 ft what design speed was used 252 Fox 10

ed for o final s eye that is 3 11 An equal tangent crest vertical curve is designed with a PVI at station 110 00 elevation 927 2 ft and a PVC at station 107 43 3 elevation 921 55 ft If the high point is at station 110 75 5 what is the design speed of the curve 3 12 An equal tangent crest vertical curve connects a

25 35 Rolando s employer pays year end bonuses each year on December 31 Rolando a cash basis taxpayer would prefer not to pay tax on his bonus this year So he leaves town on December 31 2022 and doesn t pick up his check until January 2 2023 When should Rolando report his bonus Multiple Choice O O 2023 2022 Rolando can choose the year to report the income More information is required to make the recommendation None of the choices are correct

Determine whether the set together with the indicated operations is a vector space If it is not then identify one of the vector space axioms that fails The set of all 4 x 4 nonsingular matrices with the standard operations O The set is a vector space The set is not a vector space because it is not closed under addition The set is not a vector space because the associative property of addition is not satisfied The set is not a vector space because the distributive property of scalar multiplication is not satisfied The set is not a vector space because a scalar identity does not exist

Determine whether the points are coplanar 1 3 7 1 3 7 1 3 7 1 3 7 coplanar O not coplanar

If f x f x 10 x 1 Submit Answer I compute f x Hint Avoid using the quotient rule by rewriting f x in a more appropriate form

Jigull ha pic 1 0i bo te The center of the circle x y 2x 2y 1 0 is 1 1 a a O 1 1 bO None c O

Let A 5 3 then the value of k so that A is singular matrix is 4 k O a 12 5 O b 12 O c 5 12 O d 3 2

After graduating from college with a bachelor of business administration you begin an ambitious plan to retire in 25 58 years To build up your retirement fund you will make quarterly payments into a mutual fund that on average will pay 10 20 APR compounded quarterly To get you started a relative gives you a graduation gift of 2 588 43 Once retired you plan on moving your investment to a money market fund that will pay 5 28 APR with monthly compounding As a young retiree you believe you will live for 33 64 more years and will make monthly withdrawals of 9 184 73 YOUR WITHDRAWALS ARE AT THE BEGINNING OF THE MONTH To meet your retirement needs what quarterly payment should you make

Alyssa and Gabriel play the following game Alyssa rolls a die If she rolls a 1 2 or 3 Gabriel gives Alyssa 4 If Alyssa rolls a 4 or 5 Gabriel gives Alyssa 1 However if Alyssa rolls a 6 she gives Gabriel 13 a Determine Alyssa s expectation b Determine Gabriel s expectation a Alyssa s expectation is Round to the nearest cent dollars www

A caterer prepares a mixed berry salad with qt of strawberries qt of raspberries and total amount of berries in the salad 8 4 Add the numerators 14 16 16 16 What is the next step in adding fractions when denominators are different A Add the numerators keeping the same denominators B Add the numerators and the denominators OC Rewrite each fraction so the numerators are in terms of the LCD OD Simplify the fractions 4 T 9 16 qt of blueberries What

records Two methods of survey were used a face to face interview and by email A random sample of 92 people were asked the voter registration question face to face Seventy two respondents gave accurate answers as verified by city records Another random sample of 88 people were asked the same question by email Seventy five respondents gave accurate answers Assume the samples are representative of the general population LUSE SALT a Categorize the problem below according to parameter being estimated proportion p mean difference of means or difference of proportions P P Op OH H OP P b Let p be the population proportion of all people who answer the voter registration question accurately during a face to face interview Let p be the population proportion of all people who answer the question accurately by email Find a 95 confidence interval for P P Enter your answer in the form lower limit to upper limit Include the word to Round your numerical values to three decimal places

The eigenvalues of the matrix A O a 1 3 Ob 3 2 1 O c None Od 1 3 2 Clear my choice 3 001 220 1 0 1 are

Simplify the given complex fraction 35667 3 5 6 7 Type an integer or a simplified frac

1 Derivatives Course Packet on basic rules of differentiation an e If f x f x 4x 6 x 2 I compute f x

2 3 301 given the matrix A 8 24 and vector b 4 081 find if the vector Spans matrix A