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Mathematics Questions and Answers January 18, 2023

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9. A casino game costs $5 to play. If you win, you get back your $5 and win $35. The probability of winning the game is 0.14. a) If you play the game 100 times, roughly how many times do you expect to win? b) Using your answer to part (a), how much do you expect to win altogether on those games? 0) Considering that you will therefore lose all the
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Firstly, Following a report made by the WHO, the confirmed cases of the illne as of February 2020 were 77,262, with the inclusion of 2595 deaths. Additionally, confirmed cases as of that same time were 79, 331 including 2618 number of deaths[C Nic20 \\1 1033 ]. Every individual death due to COVID-19 institutes an everlasti probable years of life
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MDM4U (SOLVING PROBLEMS WITH THE NORMAL DISTRIBUTION) Assignment 18: Solving Problems with the Normal Distribution 1. A potato chip company creates bags of chips with a mean weight of 144.5 grams and a standard deviation of 7.6 grams. The company will not allow any bag weighing less than 130 grams or more than 160 grams to be sold. What percentage
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The reading speed of second grade students in a large city is approximatelynormal, with a mean of 89 words per minute(wpm) and a standard deviation of 10 wpm. (a) What is the probability a randomly selected student in the city will read more than 94 words perminute? The probability is 0.3085. (Round to four decimal places asneeded.) Interpret this

Estimate the average rate of change between x = 0 and x = 2 for the function shown. (2 points) O 4 0 5 O 10 O 11
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2) 3) 4i 5i 6i 1'} 8i 9i For a particular product, 72 units will be supplied at a price of 534, while 16 units will be supplied at a price of $6. (a) write a linear supply equation for this product. (b) The demand for this product is given by the equation p: 12 1/2q . Find the equilibrium price and quantity. The cost of producing 11 units of a
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2. Use the following information to answer parts ab. Assume air resistance is negligible and show all work. Tiger Woods\" golf balls leave his club with an average speed of around 76.0 m/s. He hits a ball With an angle of 15.0\" relative to the horizontal. a) How long is the gohc ball in the air? (3)
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Exercise 1: Let k 2 2 be an integer. To say that a. graph G is k-path-connected means that G has the following property: for every pair of vertices a: and y in G, there exists a. set {P1, . . . , Pk} of paths in G, each with endpoints a: and 3;, such that E(P,-) E(P_,) = G for all 2' 7E j. Prove that a. connected graph G is kpathconnected if and
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Make a magic square by placing the digits 1 through 9 in the square below so that the sum of the three numbers in any vertical, horizontal, or diagonal line equals the same number, which is called the magic number. What is the magic number? Investigate/Explore the history of magic squares. When did they originate? What are some other famous magic

Problem 4: Find the extremum of the following function. 1 f (x 1 , * 2 ) = * + x2 -XX, +1 2 Follow these steps: 1. Calculate Vf (x), and solve for x* by setting Vf (x*) = 0 (5 points) 2. Calculate H(x*) (5 points) 3. Is H(x ) positive definite, positive semidefinite, negative definite, negative semidefinite or indefinite? (3 points) 4. Is x" a
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Give two situational problems that industrial engineering-related course with an answer that the Application of Differential Equation shows.

Please complete 2 paragraphs of the Belbin Team Roles and complete the scenario. Thanks,

(differential equations: chapter 6 Review of Power Series) Please show the work for all of them For each of the following differential equations the nature of x = O has been provided. Find a series solution for each problem as our methods from chapter 6 allow. If you can get 2 independent solutions, please state the general solution (organized as
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c) Obtain weekly data from Refinitiv Eikon and plot the interest rates (bid and ask mid- rate) on 2-year commonwealth government bond (AUZY-TBOND) and 10 year commonwealth government bond (au 10Y-TBOND) from June 2020. Determine the shape of the yield curve by using one of the interest rate theories you know and share your opinion on whether the
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8. The graph of f(x) = x2 was transformed to q. Carmela translates f (x) = x2 to create p(x). create h(x) = f(x + 8). If p(x) = f(x + 3) - 10, sketch a graph of p(x). a. Write the equation for the axis of symmetry of h(x). b. Find the domain of h(x). -10 -8 -6 c. Find the range of h(x). 10. The parent function f(x) = x2 was translated to create
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Q2. A recent study conducted by LastMinute.com revealed that 52% of business travelers plan their trips less than two weeks before departure. The study is to be replicated in the LA area with a sample of 12 frequent business travelers. 3. Find the mean and the standard deviation of this distribution. b. What is the probability exactly 5 of the 12
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plz answer perfectly Which of the following differential equations are Separable? Solve the ones that are separable: (a) (1+1) dy dx +y=0 dy (b) ydr = (x - y') sin y (c) dy r+1 de 2ry
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Each activity is clearly __________ from every other activity in the project

This is from Matrix and Probability Two people A and B play the following game on the n x n matrix M: A puts in zeros as entries, B puts in ones. They alternate. Awins if clet M = O, and B wins if det M is different than zero. Who has a winning strategy? Solve cases when n
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bbhosted.cuny.edu/webapps/assessment/take/launch.jsp?course_assessment_id =_2084443_1& course_id=_2036109_1&content_id=_62874055 QUESTION 6 Identify the type of equation and explain the solution curves depicted in the image P() 14 12 10 co 6 T TT Arial v 3 (12pt) - 2
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3' Question 7 1 pts 4' The cost function for a product is given by C (n) = n2 + 8n + 750 where n is the number of units produced and sold and C(n) is the cost in dollars. b) Is the function onetoone for the domain in part (3)? Explain in a sentence howl.r you know. .+ +F'ID Question 8 4 pts 4. The cost function fora product is given by C (n) = n2
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CompletarFill in the blanks Activity UNLIMITED ATTEMPTS LEFT DUE February 8th 11:59 PM CST Indicate the nationalities of these people. Questions Question 1 with 1 blank Penlope Cruz es 1 of 1 espaola . Question 2 with 1 blank Alfonso Cuarn es un gran director de cine de Mxico; es 1 of 1 mexicano . Question 3 with 1 blank Emma Watson y Daniel

Which statement below is a way that emotional finance explains the formation of bubbles? (select all that apply) Group of answer choices Euphoria builds as our integrated minds focus on pleasure. Euphoria builds as our divided minds focus on pleasure. The bubble bursts when aggregate anxiety reaches an apex. The bubble bursts when the anxiety

thank you very much Statistics 1 ICE Name 2. The 2015-2016 tuition and State = VT fees (rounded to nearest Frequency 5 hundred) for all Vermont colleges are listed below. A histogram has already been constructed, with frequencies specified above each bar. Your 3 task is to list each of the 19 tuition and fees values in the 2 2 class where it would
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In a vector data model, _______________ are two dimensional objects (having length and width), and would be used to show areas such as county boundaries, lakes or parcels of land. Question 31 options: points nodes triangulated irregular networks polygons lines

Climate Change Unit Test 14 of18 In 3 to 5 sentences, analyze potential impacts of oceans on human populations as the result of climate change in the current century. Climate Change Unit Test 4of18 In 35 sentences, explain the difference in good and bad atmospheric ozone and how each is distributed in Earth's atmosphere. Climate Change Unit Test
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Please help me find the solution to these practices problems. Please show work and number the questions. 7: Let S =$ 4 3 - 3 and W = Span (S). I: Find a basis for W. Il: What is the dimension of W , dimW ? 8: Determine whether the set of polynomials S = {4x - x2 ,5+ x3,5+3x, -3x2 + 2x3} is a basis for P3 , the set of all polynomials of degree 3 or
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I need help with this. I need it step by step to understand how do it on my own. You are running a donut shop. To promote your shop, you use Facebook and Newspaper ads. You track the impact of your ad spending on donut sales (see file CoffeeShop - Data) 1. Analyze Sales vs. Facebook Advertising Expense trend a. Create scatter plots of Sales vs.

Linear equations The force, F, in newtons, required to stretch a spring a distance, d, in centimetres, is represented by the equation F = 15d. If a force of 38 N is used, how far will the spring stretch, to the nearest tenth of a centimetre? A 0.3 cm B 0.4 cm c 2.5 cm D 2.6 cm
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Solve the system of linear equations using the Gauss-Jordan elimination method. 2 x +8 y =146 x +8 y =38 ( x , y ) =

Given the hypothesis: H 0 :M < 13 H 1 :M>13 A random sample of 10 observations I selected from a normal population. The sample mean was 17 and the sample standard deviation 3.2. Using the significance level of 0.1: State the decision rule: Compute the value of the test statistic: What is your decision regarding the null hypothesis?:

Problem 4. (3.2, #37) Kirchoff's Law says that current in = current out at every node. This network has six currents y1, . . . , y6 (the arrows show the positive direction, each yi could be positive or negative). Find the four equations Ay = 0 for Kirchoff's Law at the four nodes. Find three special solutions in the nullspace of A. This is from

b. (3 points) What percentage of the expenditures are more than $150? Interpret Z = (100 - 130)f20 = -1.5 2. = (120 - 130)f20 = - .5 percentage = .4332 - .1915 = 24.17 percent
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Instructions: Find the missing length for the following trapezoid. C ? D P 31 Q B 40 E Length =
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please help me in this question Consider the following pdf: _ (POI1) 921 :76): Z (1 7 95011)) 1 + x2 where
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please help me on My assignment, I badly need the answers. please I only have 25 mins Left. please help me out, God bless you all. I will rate you good What is the area of a sector of a circle with a central angle of 60 * Angle ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28, minor arc AB = 112, and minor arc DE
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To further explore the concept of how the area of the circular pool of oil is a function of the radius, which in turn is a function of time, and that the area is the composition of the functions of time and radius, use the handheld to move the open circle that represents time. Since you have discovered that and that find a function that models the
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Using load balancing, determine the maximum number of burritos per hour that can be processed using five workers, assuming no change in individual task length. What would be the new capacity utilization for each worker
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This is math assignment. This is included in my upcoming exam Name: Score: QUIZ I. Multiple Choices: Read the following questions carefully and choose the letter that best describes the statement. Write your answer on the space provided for. 1. Find the common difference in the arithmetic sequence 3, 13 1 15 4'2' 4 ''? a. b . = C. S d. WIM 2.
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Jackson and Alice are the boss and secretary respectively working in an office for a firm. At any particular time during office hours, the probability that Jackson is in the office is 0.82 and probability that Alice is in the office is 0.6. Find the probability that at any particular time during office hours, at least one of them is in the office.

Q33 question: 1 point(s) possible Submit quiz Aleena rents a suite and pays $1190 in monthly rent in advance. What is the cash value of the property if money is worth 9.4% compounded monthly? The cash value of the property is $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
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Complete the table by computing the Absolute and Relative change from year to year. Year Population Absolute Relative 0 500,000 XXXXXXXXXX XXXXXXXXXX 1 550,000 2 605,000 3 665,500 Complete the table by computing the Absolute and Relative change from year to year. 3 points Write an equation that would model this data. 3 points
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Suppose that the functions h and g are defined as follows. h (x ) =-5+2x2 g (x) =7-3x (a) Find 2 ) ( - 1). h (b) Find all values that are NOT in the domain of g If there is more than one value, separate them with commas. (a) (-1) = 10 g . (b) Value(s) that are NOT in the domain of - : g
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Question 2 Flag question holl you oriwered Marked out of Log SNT is a Japanese electronics giant specialising in the production of game consoles. SNT is planning to introduce the latest "next generation' console and range of games in the summer of 2015. Development of the new console is due to commence on January 2015 and SNT is currently working
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1 . Which type of ANOVA would you use for each of the studies below? One-way between subjects (independent groups) One-way within subjects(repeated measures) Two-way between subjects Measure the self-esteem of the same group of college students at the beginning, middle and end of their freshman year. Compare math skills for three different

5. Maria and John have decided that once they live in a home, they want to have a pet. Maria prefers cats and John prefers dogs. They go to an animal shelter and nd several pets that they would love to take home. There are 8 Siamese cats. 12 common cats. 6 German Shepherds. 5 Labrador Retrievers, and 11 mixed-breed dogs. Since they can't decide,
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On June 1, the home mortgage balance was$292,000for the home owned by Eric Jackson. The interest rate for the loan is6percent. Assuming that Eric makes the June monthly mortgage payment of $2920, calculate the following: (a)The amount of interest included in the June payment (round your answer to the nearest cent). (b)The amount of the monthly

##PROBLEM i1 (20 points) : ## Write code to help find desirable courses to take next semester. Download and look at the text file: 2024s3Fall courses. txt Notice the structure. It is a text file. The first line has a heading, ## All other lines contain a course listings. Courses are listed in pairs, lecture then lab. ## Show which courses desired
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Need help on the questions: 1-20 40.2 Adapting the Addition Rule for Mutually Exclusive Events Mutually Exclusive Events: Events are mutually exclusive if they have no outcomes in common. Mutually exclusive events cannot happen "at the same time." B If A and B are mutually exclusive events then: .40 .30 Addition Rule: P(A UB) = P(A) + P(B) P(AUB)
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Take MATHS HANGMAN as a game. Represent facts and rules of game in propositional and predicate logic. Consider two players play the game, apply rule of inference on at least one on winning and loser condition by purposing hypotheses and conclusion. Simply, take rules and facts of Maths hangman game. Then convert these rules or facts in

if the extent of dissociation of co2 is c derive an expression for k in terms of c and p

Please round to 4 decimal places. Thank you Question 5 7.5 pts Use the following information to answer the question, round your final answer to 4 decimal places. A researcher investigated how long it takes for employers to either send an acceptance or reject letter for a job application. It was determined that on average employers take 3.2 weeks
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High definition TVs are averaging $1,500 currently, but costs are decreasing at a rate of 21% per year.How many years will it take for these TV's to be half of their original worth? Find the year that gets you closest to this value.Your answer will be a whole number.

There are 2 bus lines to handle transportation from your school to place A: Bus Line 11 and Bus Line 12. From our statistical data, For Bus Line 11, the waiting time is exponentially distributed with mean 10 minutes and its transportation time is also exponentially distributed with mean 15 minutes. For Bus Line 12, the waiting time is uniformly

Was Dianrong tackling too many sectors and problems at once

solve this The editor of a textbook publishing company is trying to decide whether or not to publish a proposed business statistics textbook. Information on such texts published in the past indicates that 10% were huge successes, 20% were modest successes, 40% were break-even and 30% were losers. Before the decision is made, the book will be
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4. ( A2 + C2 Marks) An 8-m ladder must be placed against a wall such that the base of the ladder makes a 620 angle to the ground. How far up the wall will the ladder reach, to the nearest tenth of a metre? ( Draw and appropriate diagram.) 5. ( A 4 Marks) (Show your work.) Determine the exact value of 3 tan 45 (3 tan 600 _ sin 60 V3 - - cos90 ) +
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please help me with functions 1.1. Given that f(x) = ax3 + pand h(x) = bx*+q: [17] 1.1.1. On the same set of axes, roughly draw the graphs of f and g ifa > 0,p = 0,b
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Give an example of a linear equation in two variables.

A large solar heating panel requires120gallons of a fluid that is30% antifreeze. The fluid comes in either a50% solution or a20% solution. How many gallons of each should be used to prepare the120-gallon solution? HOW MUCH 20% and HOW MUCH 50% to make the 30%

Avery just received her graded exam. What actions should she immediately avoid? Select all that apply Answer Ensure that she understands how to work test questions for future tests Schedule a study session with other students who did poorly on the test Determine if the majority of the questions came from homework Focus on future test materal only
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Create a Linear Optimization mathematical model based on a specified goal and a set of predetermined market values. In order to satisfy this part of the project, you will review the scenario and the parameters supplied in an Excel workbook. You will formulate an Excel-based spreadsheet model. Finally, you'll specify cells or cell ranges necessary
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20. [-/2 Points] DETAILS EWENMATH12 6.6.013. 0/100 Submissions Used Cut a 13 ft beam into two pieces so that one piece is 6 in. longer than the other. Find the length (in ft) of the two pieces. shorter piece longer piece ft Need Help? Read It
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In a population of 560 people eight are left handed. Suppose we randomly sample 100 people. Let X = the number of left handed people. What values does x take on? What is the probability distribution? What is the probability that two people are left handed? What is the probability that at most six people are left handed? What is the probability

Please answer the question neatly, thanks! (9 pts, 3 points each) Partition the unit interval into 6 subintervals of equal length A = [0, a B = [%, %].C = %, %]. etc... for the map 1 _ 1659 OSmSl/ f($)_{ w1/6 1/653931 (a): Draw the transition graph and describe the orbit starting at 0. (b): What periods do the periodic orbits have? (c): List all
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a. lim f(x) b. lim f(x) C. lim f(.x) Show your work/justify your answers. 3x + 1 J(r) = 8 *=2 A. a=2 x - 2 if (x)=8 a. lim & i x - 2 f ( x)=8 b. lim & c. lim f (x)=8 x - 2 B. a= 3 x - 3-if (x)=1 a. lim & x - 3+if (x)=-1 b. lim & c. lim f (x ) does not exist . x - 3 C. - -Q Answer: x - 0 if (x)= V3 a. 6 lim &
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Homework for Students [Due at start of next class]: Poisson [Use Excel] Real Problem: Bacteria cause infections. With infections running wild in many hospitals, the chief administrator of Local Hospital decided to find out how the Local Hospital stacks up against the national norm [national norm states that the average number of bacteria per
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If a complete graph has degree 3 for each vertex, then how many diagonals are in the graph?

Liz has a credit card that has an APR of 8.99% with a current balance of $1000. During a 30 day month, she makes the following transactions 1. On day 4, she makes a $20 purchase 2. On day 8she makes a $50 purchase . 3. On day 10 , she makes a $200 payment 4. On day 20 , she makes an $80 return What is her average daily balance on the credit card

Please help with this asap !!!! COLLEGE ALGEBRA The following data represent Candy Bar Weight, x Calories, y Candy Bar Weight, x Calories, y the weight (in grams) of Bar A 49.8 377.4 Bar F 48 368 various candy bars and the Bar B 55.4 396.2 Bar G 62.5 405.5 corresponding number of Bar C 46 368 Bar H 59.6 405.8 calories. Bar D 51.7 389.1 Bar I 64
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12. Given that Z is a standard normal random variable, what is the value of Z if the area to the right of Z is 0.1949? a. 0.51. b. 0.51. c. 0.86. d. 0.86
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Given the following data from an Xbar and R chart:X double bar = 23 pounds,R bar = 4 pounds,n = 5 How would I calculate the control limits for the average and the range portion of the X bar and R chart.Round your answers to 2 decimal places. How would I explain exactly what these control limits represent?

For each diagram, find the relationship between the number of shapes and the perimeter of the figure they form. Represent this relationship using a table, words, an equation, and a graph. 1 hexagon 2 hexagons 3 hexagons
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Complete five (5) different resource file entries that you will then compile and submit at the end of the course in one Word document. Each entry should be 5 length and should adhere to the format presented in the Sample Resource File. You need a resource file for each type of book below: 1.ABC 2.Counting 3.Concept 4.Participation 5.Information As
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Use the spinner shown to answer the question. Assume that it is equally probable that the pointer will land on any one of the colored regions. If the pointer lands on a borderline, spin again. If the spinner is spun once, find the probability that the pointer lands in a region that is yellow or blue. The probability that the pointer lands in a
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Compare the following decimals and choose either the greater than (>), less than (

Find, to 10 significant figures, the unique turning point x of 4x f(ac) = 43 + 4 cos 2 in the interval [0, 0.6] and enter it in the box below. Find, to 10 significant figures, the value of the second derivative of f"(a) at the turning point, that is f (x() ). Enter your answer in the box below. f" (20) =
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Q18 pollit(s) possible For the following annuity due, determine the unknown value represented by the question mark. Present Periodic Nominal Value Payment Payment Rate of Conversion PV(due) PMT Interval Term Interest Period 2 $99 1 month 8 years 10% quarterly The present value is $ (Round the final answer to the nearest cent as needed. Round all
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Thank you for your help. I need a solution of this problem ASAP. (AMS351 Book : Numbers, Groups & Codes six edition by Hemphreys & Prest) Problem 1. Review the statement of Burnsides Theorem. For the set X = {1, 2, 3, 4}, for the dihedral subgroup D(4) of S(4) = S(X) generated by (1 2 3 4) and (14)(23), for every element D(4), compute the fixed

A manufacturer finds that total monthly cost when producing hair dyes is C (x) = 12.5 + 5x + 0.2x^2. What equation represents the Average Cost function

answer these 16. 477.38 to 342.91 = % change The Dallas County budget includes several departmental line-items that are related to environmental concerns. The following table lists amounts expended in 2017 and 2018, along with the projected budgetary allowance for 2019 Line Item $ in 2017 $ in 2018 $ in 2019 Fire Prevention & Public Education
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formulacion y evaluacion de proyectos de calidad y ambiente semana 2

Is an open source data mining tool better than a commercial one? Why or why not?

Given the parabola shown below: It opens upwards downwards it has been stretched vertically yes no It has been shifted by units It has been shifted by units The vertex is at ( , ) The equation for the parabola in Vertex Form is y =
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12. Do the pairs of equations shown represent two lines that are parallel? y = 5-2x +1 = -2(x+7) yes no (y + 2 = 3(x- 1) x + 3y = 6 yes no
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1. nicho:ka I cry. 2. nicho:kani 'I am crying.' 3. ankochinih 'Y'all are sleeping." 4. tikochih We sleep.' 5. kochiya 'He was sleeping.' 6. kwi:kas 'He will sing." 7. ankochiyah 'Y'all were sleeping.' 8. nicho:kas "I will cry.' 9. cho:kayah 'They were crying.' 10. tikochi You sleep.' 11. ancho:kah "Y'all cry.' 12. tikochis You will sleep.' 13.
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I need help understanding and also solving this math problem Part I Write the letter for the correct answer in the blank at the right of each question. 1. A point F(-3, 1) is translated along the vector (5, -1). What are the coordinates of the image F* ? A F (2, 0) B F (-15, -1) CF (-2, 0) D F (15, -1)
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Please answer ASAP. all Freedom 8:31 AM 100% ZZ X Vectors Test 2... 8. Find the equation of the plane, in scalar form, that contains the points R(2,3,-5), S(-6,3,-4), T(1,2,1). [5 marks] 9. For the following planes, find the intersection if possible. [6 marks] m1: 2x+ y+ z= 6 12:x-y- Z=-3 n3: 3x + y + z = 10 10. Determine the value(s) of k such
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ECET-350 MIDTERM EXAM NOVEMBER 2016 SESSION NAME: ______________________________________________ 1. Determine the transfer function of a second-order Chebyshev (.5 dB Ripple) bandpass filter with cutoff frequencies of 1500 Hz and 3000 Hz. 2. Design a filter for your transfer function from question #1 using the Sallen-Key topology. Find all the

2. There were 2 unusual defensive strategies used by echinoderms? Please include an example of the organism with the strategy. (5 pts)
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The standard deviation of test scores on a certain achievement test is 11.2 . A random sample of 70 scores on this test had a mean of 73.3 . Based on this sample, find a 99% confidence interval for the true mean of all scores. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers

Suppose that 6 economists who work for the federal government and 7 university economists were asked to predict the percentage change in the U.S. GNP over the three year period from January 2010 to January 2013. The Wilcoxonrank-sum test was used to determine if the two groups differ in their predictions. The value of the test statistic was

Cul es la funcin principal de la Gestin de la integracin? Seleccione una: Administrar que todas las actividades y cambios coincidan con el alcance y objetivo Administrar que todos los elementos de un proyecto coincidan y se incorporen en el momento correcto Integrar todas las actividades de un proyecto y los cambios autorizados a tiempo Controlar

All pharmacists in the Canadian province of Ontario are required to be members of the Ontario College of Pharmacists. At the end of 2015, here are the types of practices that they had: Practice Type Community pharmacy Hospital or other health care facility Corporate office, professional practice, or clinic Number of Pharmacists 10,266 2,363 130

PLEASE DO NOT START THIS IF YOU WILL NOT ACTUALLY HAVE THIS DONE, AS I NEED THIS ASAP... Thank you (I will give you a good rating). Hello! Please help ASAP! Please TYPE your help back to me. PLEASE INDICATE AND SHOW WHERE THE ANSWER WILL GO ON THE SCREENSHOT. ***These questions are very short and quick answer easy, NO explanation needed. Thank
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How much cream containing 30% butterfat and how much milk containing 3.5% butterfat must be mixed together to obtain 50 gallons of mixture that contains 11.5% butterfat

Yorkdale Adult Learning Centre MCR 3UV - Mathematics , Grade 11 Functions Quad 3 (Feb 2023 - Apr 2023) Name: Date: Mar 24, 2023 Assessment ( Mini-Test 2 ) K/U /10 A 16 T 14 C 16 Instructions: Answer all the questions. Show your work. 1. (K/U 6 Marks + C2 Marks) sin e- - Given 7, where 180 s es 2709, (draw a diagram for the angle in the grid
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The area of a rectangle is 720m. If the length is 18 less than nine times its width, find the dimensions of the rectangle.

1. WRITE THE VECTOR V= ( 1, -2, 5) AS A LINEAR COMBINATION OF VECTORS U= (1, 1, 1 ), U2 = ( 1, 2, 3 ) AND U3 = ( 2, -1, 1 ). 2. DETERMINE WHETHER LET V= ( 1, 5, -1) IS IN LINEAR COMBINATIONS OF THE VECTORS. V1 = ( 1, 4, 3 ) V2 = ( 1, 2, 1 ) V3= ( 2, 1, 6 )
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