Math - Others Questions

A park ranger measures the height of pine trees in meters and counts the number of unbroken pine cones under the tree after a storm He assumes that height is the explanatory variable His data expressed as ordered pairs is 20 6 10 7 30 4 30 5 and 10 8 What is the correlation coefficient for this data Show all formulas used and all work 14

1 A baker supposed that the age of a cake mix and the height of the cake made from it were related She kept track of the age in years x and the height in cm y as an ordered pair x y The results she recorded were 1 5 2 5 4 8 2 6 and 1 6 What is the correlation coefficient if age is the explanatory variable Show all formulas used and all work

Ex 3 47 Suppose that you are loss averse and that your value function is v x x for gains and v x 3x for losses a Represent the value function graphically in the manner of Figure 3 11 b Represent your indifference curves graphically in the manner of Figure 3 13 b assuming that your initial endowment is 3 4 Bananas v x V 1 1 t v 1 igure 3 11 Value function 3 1 Bananas 3 2 1 1 2 3 a Without loss aversion 2 3 b With loss aversion Figure 3 13 Indifference curves and loss aversion Apples Apples

Theorem 3 6 3 If A E Matmxn and 0 Proof ER then A 0 0 Rm 0 A 0 A Othm 3 2 5 A 0 A 0 thm 3 2 5 A 0 0 A 0 Definition 3 6 4 The kernel of a matrix A is the set ker A v A v 0 Exercise 3 6 5 Using the same generality i e abstractly not using a particular matrix as above prove that if u and v ar both in the kernel of a matrix A then Span u v C ker A Does it change anything if I take 3 vectors 4 vectors k man vectors See me if you want some help with abstract proofs

Suppose Denmark produces only bikes and scooters The resources that are used in the production of these two goods are not specialized that is the same set of resources is equally effective at producing both scooters and bikes 1 The shape of Denmark s production possibilities frontier PPF should reflect the fact that as Denmark produces more scooters and fewer bikes the opportunity cost of producing each additional scooter increase decrease remains constant 2 Points 2 Graph the Production Possibilities Frontier for Denmark Make sure to label the graph your axes and draw the curve as accurately as you can based on the given information 5 Points I Determine whether the following statements analyzing policies are positive or normative 1 Point each 3 In the past decade U S companies have outsourced millions of jobs overseas 4 Companies that outsource jobs are acting immorally 5 If the U S government were to institute higher tariffs on imports companies would stop outsourcing jobs

Think about the idea of the terrible twos The idea that children around ages 1 5 3 years go through a phase in which they are unusually stubborn or obstinate Consider your information on the basic Developmental Issue of Continuity and Discontinuity consider the developmental changes that typically occur for children during this time such as development of self concept learning self control and autonomy Answer the following questions What do you think Do children and adults develop through stages or phases or does development follow a more gradual course Explain O Do you think that your own development has progressed through distinct developmental stages Discontinuous or is it more like a ramp and more gradual Continuous Give an example to support your answer

Write the below expression in factored form by factoring out the greatest common factor or a negative common factor if the coefficient of the term of greatest degree is negative 22 2 8mn 40m n

13 Test Practice Which pattern shows 100 more Explain how you know A 1 456 1 556 1 656 1 756 5 832 5 833 5 834 5 835 B 4 987 4 887 4 787 4 687 6 001 7 001 8 001 9 001

reasoning 15 ft 2 ft 4 ft 3 12 ft

1b How long would it take Carter to drive 320 miles a 2 hours b 4 hours 32 8 hours d 12 hours Ho xx8 320

1 9 10 8 sections Which is more economical purchasing the economy size of a detergent at 7 kilograms for 7 15 or purchasing the regular size at 770 grams los 87 CXX This question 1 poishish posaltre Select the correct choice below and fill in the answer box to complete your choice Round to two decimal places as needed OA Purchasing the economy size is more economical because the economy size costs OB Purchasing the regular size is more economical because the regular size costs less per kilogram less per kilogram

Due Date 09 14 2023 1 Refer to the table below for results of a sieve analysis Please show your work in a detailed manner U S Sieve no 4 10 20 40 60 100 200 Pan Mass of soil retained g 28 42 48 128 221 86 40 24 a Determine the percent finer than each sieve and plot a grain size distribution curve

1 3 The storage existing in a river reach at a given time is 13 acre ft and at the same time th inflow to the reach is 450 cfs and the outflow is 500 cfs One hour later the inflow is 500 c and the outflow is 530 cfs Calculate the change in storage during the hour in cubic mete and acre feet

Draw a number line with a bell curve drawn above it Show work calculating and placing the usual seven numbers under the number line mean 3 to the left and 3 to the right if the mean equals 55 6 and the standard deviation equals 7 5 If all the space area under your bell curve to the number line represents 100 50 on each side of the mean what would you estimate the percentage of shaded space area from the number 70 6 and to the left Use the Empirical Rule as your guide pg 110 and or Ch 3 PowerPoint slide 35 Show your detailed calculations and shaded bell curve Answer Do not draw a new number line or make a new shading but if you were asked to hypothetically shade under the bell curve from the number 48 1 and to the left what would you estimate that shaded area to be out of 100 Show your detailed calculations

ent XI 12 15 14 17 14 17 16 Put your Excel equations and results on paper to be handed in Y 44 65 59 61 68 70 65 Var Std Dev Range Use Excel functions to calculate the variance standard deviation and range for each variable X Do not create a new spreadsheet use this spreadsheet only

Variance and Standard Deviation Seven sample observations taken for a variable are as follows X 12 15 14 17 14 17 16 Calculate the variance and standard deviation for X showing detail work

14 The annual evaporation from a lake is found to be 125 cm If the lake s surface area is 12 km what is the daily evaporation rate in centimeters and inches 1 5 If a vertical walled reservoir having a surface area of 1 mi receives an inflow of 12 cfs how long will it take to raise the reservoir level by 6 in

1 2 Assume you are dealing with a vertical walled reservoir having a surface area of 500 000 m and that an inflow of 1 0 m s occurs How many hours will it take to raise the reservoir level by 30 cm 1 3 The storage existing in a river reach at a given time is 13 acre ft and at the same time the inflow to the reach is 450 cfs and the outflow is 500 cfs One hour later the inflow is 500 cfs and the outflow is 530 cfs Calculate the change in storage during the hour in cubic meters and acre feet

1 8 The storage in a reach of river is 20 000 m at a given time Determine the storage 1 hr later if the average rates of inflow and outflow during the hour are 20 and 18 m s respectively

Two cm of runoff result from a storm on a drainage area of 100 km Convert this amount to subic JE SKA

1 litre of paint can cover approximately 11 m of wall Frank wants to paint two walls each of which are 2 15 m high and 6 89 m wide Estimate how many 1 litre tins Frank will need

2 Find the quotient and the domain 2 9 x 3x x 6x 9 3x

3 Find the sum 5 2x 1 8 4x 2

5 Engineers study different shapes for storage tanks for liquid important component of rocket fuel One engineer is testing both the spherical and cylindrical designs below Both shapes have the same radius x The height 2 of the cylinder is 2x The engineer wants to choose the tank that has the least ratio of surface area to volume Surface area 4x Volume 3x 2x Surface area 2 x 4x Volume 2x4 Part A Write a function f to represent the ratio of surface area to volume for the sphere Simplify Part B Write a function g to represent the ratio of surface area

1 Simplify the rational expression and state the domain x 5 x 25 x 5 x 5

4 Find the difference 3 4 x 1 x 3

Part 1 of 2 4 16 points Required information Required 1 Required 2 Prepare a single step income statement for the year ended January 31 Net sales Expenses Required 3 Total expenses Selling expenses General and administrative expenses Cost of goods sold Net income NELSON COMPANY Income Statement For Year Ended January 31 333 35 600 x 23 750 X 41 400 x 111 450 100 750 10 400 x

Why Didn t Klutz Do Any Homework on Saturday Either multiply or factor as directed and find your answer in the adjacent answer column Write the letter of that exercise in the box that contains the number of the answer 4 16a b 13 49a 1 a 25 Multiply a 5 a 5 D 2 3a 2 3a E 7a 1 7a 1 N a 6 a 6 A 4a b 4ab 2a 5b 2a 5b Factor En 49 A n 1 N 81 n H 4n 9 49n 16 E 144 25n 1 2 3 6 17 4a4 25b 15 4 9a 12 4a 36 24 a 36 1 2n 3 2n 3 10 12 5n 12 5n 8 n 1 n 1 5 7n 3 7n 3 2 n 7 n 7 18 9 n 9 n 20 7n 4 7n 4 5 4 8 7 6 Factor S x y 4x 49y W 81x 100y E 36x 121y O9x 64y Nx4 400 Factor HOBO C 25a 9b4 W a b 36 16 a b6 K a b c8 N 48 6 225 D 3 9x 10y 9x 10y 5 x y x y 7 x 20 x 20 11 6x 11y 6x 11y 16 3x 7y 3x 7y 22 2x 7y 2x 7y 23 3x 8y 3x 8y 19 4 a b 4 a b 14 2a 15 2a8 15 21 a b a b 12 ab c ab c 9 ab 6 ab 6 16 5a 3b 5a 36 10 4 ab 4 ab 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

r sure the com to or Please answers on a sep 1 Name the two most commonly used systems of measurement 2 What are the standard units for length and in the SI Metric system 3 List five common metric prefixes 4 Which of the following is an incorrect metric notation A 33 mm B 0 39 km C 34 000 km D 42 kPa 5 Convert the following values A One inch B 12 meters C 10 quarts D 12 milliliters E 400 pounds F 25 meters second G 68 F C millimeters yards liters fluid oz kilograms feet second 6 A point measures approximately inch of an of an inch 7 The pica is approximately 8 What are two devices commonly used to measure the point size of type 9 The amount of vertical space between lines of type is called 10 A ream of paper consists of 11 Name four common grades of paper 12 List the three ISO series for paper and envelopes and the uses for each series 3 What is the basis weight of paper mass sheets List four components of a typical desktop publishing system Image resolution is measured in

Employee Benefits Practice Active Please select the best answer from the choices provided 1 2 A 3 5 6 7 B 9 Padraig receives total employment compensation of 70 000 and had 2 000 in job expenses Which of the following could be true about Padraig s gross pay and total employee benefits a His total employee benefits are 2 8 of his annual gross pay of 72 000 b His total employee benefits are 2 9 of his annual gross pay of 68 000 c His total employee benefits are 12 5 of his annual gross pay of 64 000 d His total employee benefits are 13 3 of his annual gross pay of 60 000 10

Using the function f x 50 0 8 determine the following a Graph the function

23 Add the Data table here Speed r min Output Current lo A 24 Add the plotted graph here 1800 1799 1796 1797 1804 1790 1801 1792 0 106 0 249 Torque Nm 0 21 0 421 0 250 0 310 0 442 0 560 0 790 1 002 1 150 1 310 0 306 0 442 E1 AC V OUTPUT CURRENT IO VS TORQUE T 0 7 130 5 129 2 126 7 107 6 118 8 113 6 110 8 106 2 0 985 12 AC A 1 324 1 571 0 56 0 788 1 002 1 146 Torque N m 0 106 0 21 0 421 0 7 0 985 1 324 1 571 1 855 1 855 1 31 Speed r min 0 300 0 296 0 295 0 294 0 287 0 287 0 287 0 287 Does this graph confirm that the separately excited dc generator is equivalent to a torque to current converter with higher torque producing greater speed Ans Yes

What is the best technique for avoiding highway hypnosis when driving Moving your eyes to scan the road and checking your mirrors Talking to people on your cell phone non stop

Traffic in a roundabout travels in a direction counterclockwise straight through

Which protocol needs to be following when driving behind another vehicle at night Ensure your headlights are on low beam

II dy dx 6x 3y 4 A Solve the Differential Equation Give your answer equation you don t have to solve for y B This solution is valid on a limited domain Find tha domain X

a Complete the table below by providing the correct information required for each column 28 marks Equation Q 30 3P Q 25 4P Q 2P 30 Q 4P 25 Q 40 3P Q 10 3P Q 2P 10 Q 15 3P Q 20 10P Q 40 3P Demand or Supply Value of slope Value of P Value of Q when Q when P 0 O for the for the demand demand equations equations ONLY ONLY

Number of bags 123456 2nd attempt Willingness to pay per bag 5 4 3 2 1 0 Part 1 2 points Itranscript If a bag of jelly beans costs 3 how many bags will the student buy 3 bags of jelly beans Itranscript How much consumer surplus will she enjoy Assume that the student will purchase bags up to but not including the point at which she incurs a loss of consumer surplus 6 in consumer surplus Part 2 2 points See Hint See Hint

Return to question An insurance company uses the following tasks to process insurance claims Forty claims need to be processed in an eight hour workday A 3 minutes B 5 minutes 6 minutes 4 minutes E 2 minutes a What is the takt time b What is the theoretical number of workstations 2 minutes c Assign the tasks to the workstations to balance the line using the longest operating time rule d What is the efficiency of the balanced line

The following data come from the inventory records of Albrecht Company Click the icon to view the data Based on these facts the gross profit for Albrecht Company is OA 120 000 OB 223 000 OC 195 000 OD 205 000 Data table Net sales revenue Beginning inventory Ending inventory Net purchases Print Done 623 000 65 000 47 000 400 000 X

The graph below illustrates the demand and supply for pizza The demand curve shows that some customers are willing to pay more for a pizza than others and the supply curve shows that some producers are willing to sell pizzas for less than others At what price is total surplus maximized Part 2 2 points Price 15 14 13 12 11 10 9 8 Pizza Market 8 5 8 8 8 8 6 3 3 3 3 3 3 3 5 8 Quantity transcript When total surplus is maximized consumer surplus is and producer surplus is See Hint

You are thinking about renting a room in a house next year with three of your friends For each month s rent you are willing to pay 530 your first friend is willing to pay 500 your second friend is willing to pay 560 and your third friend is willing to pay 560 The landlord agrees to offer each of you separate leases but will charge you all the same price 500 You decide this is a good deal so you and your friends move in A couple of months later you learn from someone who knows the landlord that he would have been willing to rent each room for 450 per month V 2nd attempt Part 1 1 point transcript What is the amount of producer surplus per month 200 Part 2 1 point Itranscript What is the amount of total consumer surplus per month Part 3 1 point See Hint See Hint See Hint

The Corner Frame Shop wants to know the effect of different inventory costing methods on its financial statements Inventory and purchases dat June are Click the icon to view the inventory and purchases data If The Comer Frame Shop uses the LIFO method cost of goods sold will be OA 21 200 B 21 240 OC 20 900 OD 22 340 Data table Jun 1 Beginning inventory Units 2 500 Unit Cost 11 00 Total Cost X 27 500

Lakeside Software began January with 3 900 of merchandise inventory During January Lakeside made the following entries fo inventory transactions Click the icon to view the transactions How much was Lakeside s inventory at the end of January OA 4 300 O B 9 900 OC 0 OD 6 000 Data table Inventory Accounts Accounts Payable Accounts Receivable Sales Revenue Cost of Goods Sold Inventory Print Debit Done 6 000 7 500 5 600 Credit 6 000 7 500 5 600 X

Itranscript Suppose that Sheldon Leonard and Raj are looking to buy a new comic book Their willingness to pay is as follows Sheldon Leonard Raj 10 00 13 00 6 00 If the price of the comic book is 3 calculate the total consumer surplus for these three customers 14

Seller Trinity Paige Alexa Willingness to sell 27 17 9 The women in the table above all tutor chemistry Using the data in the table calculate total producer surplus for Trinity Paige and Alexa if the price to tutor chemistry is 21 per hour

1 23 4 5 6 1st attempt 5 4 3 2 1 0 Part 1 2 points Itranscript If a bottle of hand crafted ginger beer costs 3 how many bottles will the student buy

Part 1 1 point Itranscript If you are willing to pay 3 25 per pound of asparagus purchased at the grocery store but are required to pay only 2 50 you have gained producer surplus consumer surplus a refund from the producer of the good point Part 2 1 Itranscript See Hint what you would have paid See Hint

Solve the inequality Graph the solution set 6 x 31 1 3

You buy some beads and string from a student on campus to make a bracelet for yourself You valued the materials at 11 but were charged only 8 Unknown to you the seller would have sold them for 5 After you make the bracelet you like it more than the original materials used to make it You value the bracelet at 15 One day a random stranger who values your bracelet at 28 compliments the bracelet and offers you 20 for it and you decide to sell it to the stranger What is the total surplus generated from the original purchase of beads and string combined with the sale of the bracelet to the stranger Total surplus 12