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Mathematics Questions and Answers October 08, 2021

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16. Suppose A is a 3 x 3 matrix with real entries that has a complex eigenvalue -5-8 with corresponding -6 - 52 eigenvector -1 . Find another eigenvalue and eigenvector for A. 52 Eigenvalue = Eigenvector = 17. Suppose y1 = xyl + 3y2 + sec(x) , y'2 = sin(x) y1 + xy2 - 4. This system of linear differential equations can be written in the form Y' =
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A survey was conducted that asked 1002 people how many books they had read in the past year. Results indicated that x=14.7 books and s=16.6 books. Construct a 90% confidence interval for the mean number of books people read. Interpret the interval.

Include a multiplication sign between symbols. For example, a*x*. Enclose arguments of functions in parentheses. For example, a*ln(b*x)*ln* . dydx=dydx=

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What amount comes closest to the value in 20 years of investing $100 today if the interest rate is 4%? What amount comes closest to the value in 20 years of investing $100 today if the interest rate is 4%? O A. $ 140 O B. $ 280 O C. $ 180 O D. $ 219 O E. $ 184
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Part D: What is the value of K calculated by kf/kb? Enter your answer as a whole number. Question Blank 12 of 14 type your

7. Determine the equation of a cubic function tho'r has zeroes of x = 2,x = 1, and x = 4 and c: y intercept at 4
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C. Give the angle of rotation that places point E at the coordinates listed in the table to the right. Click on Point E Angle of Image of A(10, 5) Show table to check your answers. rotation (-5, 10) D. What angle of rotation brings point E back to (-10, -5) point A? (5, -10)
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A research project submitted by students from three academic programs were rated as "excellent", "good" and "average". Below is the tabulation of the results. JUST FCSS ECS Total Excellent 44 32 49 125 Good 28 40 60 128 Average 12 25 10 47 Total 84 97 119 300 Which group had the highest proportion of the research projects rated as excellent?

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below (not to scale): Earth Sun Moon The moon is, on average, 275,000 miles away from the Earth and the Sun is roughly 91,000,000 miles from the Earth. What is the measure of angle x? Round to the nearest hundredth. Just write the number in the blank
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In the figure we see differences between teams in terms of processing times (PT). ANOVA is used to analyze the difference between the teams ("Team"). Based on the outputs presented, what is the correct conclusion? 1 point The mean processing times differs significantly between Teams. Furthermore, "Team" is a very important influence factor as

Conduct a test at the =0.05 level of significance by determining (a) the null and alternativehypotheses, (b) the teststatistic, and (c) theP-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=121, n1=249, x2=135, and n2=316. a)Determine the test

A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would be defective. With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

hoology.kleinisd.net/assignment/5893665370/assessment Question 15 (7 points) The approximate volume of a cone is 330 cm". If the dimensions of the cone are multiplied by 3, what will be the new volume of the cone, rounded to the nearest whole number? O a 110 cm3 O b 990 cm3 O c 2970 cm3 O d 8910 cm 3 Question 16 (7 points) All the dimensions of a
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Find all zeros off f ( x )= x^ 3+5 x^ 2 +5 x +1 . Enter the zeros separated by commas. Enter exact value, not decimal approximations.

STEP 1.1: Will a linear or quadratic model t these "data better? Why? m ''''''''' w 1.2 What variable represents f(x)? what variable represents x? STEP 2: I chose ' . as a model STEP 3: Vertex: , h = k = Quadratic Model: ' STEP 4: I pick I as another point. The value of a is , STEP 5: The quadratic model: (Vertex form): V A The quadratic model
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A circle of radius r is a curve that consists of all points at distance r from the center of the circle. Terminology: 1. A circle of radius r is a curve that consists of all points at distance 7' from the center of the circle. 2. A disk of radius r is the set of all points whose distance from its center is less than or equal to 7'. Thus, a circle
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I do not understand how to calculate this question. A survey Found that people keep their televisions an average of 5.4 years. The standard deviation is 0.74 year. If a person decides to buy a new TV, nd the probability that he or she owned the old one for the given amount of time. Assume the random variable is normally distributed. Refer to the
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You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. Find the critical value that corresponds to a confidence level of 99.9%. (Report answer accurate to three decimal places with appropriate rounding.) z

QUESTION 23 The company has a new phone app.The average customer spent $30 on purchases on the old phone app.A sample of 300 customers using the new app shows a customer average of $31 is spent with a standard deviation of $6. Using a confidence level of 95%, can we conclude that customers using the new app spend more?Please enter the decision
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Please do circled questions Lesson 4.1 . Triangle Sum Conjecture Seael To ahilyagov . SiA podzol Name Period Date In Exercises 1-9, determine the angle measures. 1, P = _ q = 3. = b = 28 530 82 9 79 a 50 980 170 230 b 310 4 r S = 5. Jx = y = BY = 100 - x 85 x 100 30 + 4x 7x y 310 7. s 8. m = 9. mLP = 350 P 760 X X m x insumgnos (@)signs a
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can u please help me QUESTION 11 The following eight questions are related to the following scenario: A politician is interested in the issue of public broadcasting, and wants to know the opinions of her constituents. She is also concerned about a gender difference. She therefore hires someone to select a simple random sample of 676 women from her
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Approximately 10% of all people are left-handed.Consider a grouping of fifteen people. a.What is the random variable for the probability distribution in b? b.Write the probability distribution (that is, the probability for each of the possibilities) c.Draw a histogram d.Describe the shape of the histogram e.Find the mean f.Find the variance g.Find

2211 m Consider the design of a communication system. a. How many three-digit phone prefixes that are used to rep- resent a particular geographic area (such as an area code ) can be created from the digits O through 97 b. As in part {a), how many three-digit phone prefixes ane possible that do not start with 0 or |, but contain 0 or | as the
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Monthly Cash Surplus/Deficit Cumulative Cash from (used by) operations Plus: beginning cash Total Cash on hand Desired Cash Balance New borrowing required Repayment Cumulative Borrowing Ending Cash Balance Investable Cash
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For the function f = { ( - 3, 4 ), ( - 2, 1 ), ( - 1, 2 ), ( 1, 3 ) }, find f (- 1). a. - 2 b. 4 c. 2 d. 3

8 In AABC draw UV || BC with U E AB and V E AC. Prove that P, the intersection of BV and UC, lies on the median of AABC from vertex A. Hint: Let E the midpoint of BC and D the intersection of UV and AE. Denote UD = r, VD = s, BE = m, and CE = n. UV | BC implies the existance of two pairs of similar triangles. Prove that n -. BV and CU determine
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1.The following summary table presents the results from an ANOVA comparing four treatment conditions with n = 10 participants in each condition. Source SS df MS F Between 3 Within 89 Total 132 39 a.What are the missing values b.State clearly whether the test result is significant at .05 level

Alice solves every puzzle with probability0.6 , and Bob, with probability0.5 . They are given7puzzles and each chooses5out of the7puzzles randomly and solves them independently. A puzzle is considered solved if at least one of them solves it. What is the probability that all the7puzzles happen to be solved by at least one of them?

Factoring Algebraic Expressions HC Three students were asked to rewrite the expression 36 x 3 + 16 x 5 using a common factor. The rewritten expressions are shown in the table. Student A Student B Student C 4 x 3 (9 + 4 x 2 ) 3 x 2 (12 x + 2 x 3 ) 2 x (18 x 2 + 8 x 4 ) Part A : Did Student A rewrite the expression correctly using a common factor?

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal

1 of 2 Homework 7: Chi-Square To get full credit - you must show all work (each test has six steps)! Education Level Smoker Non-Smoker Total None 4 16 20 Primary 15 17 32 Intermediate 12 12 24 Senior High 1 8 9 Technical School 10 10 Total 32 63 95 1. Please use the information above and test at an a=.05 to determine whether there is an
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Scatterplots are often used to visualize the relationship between two variables. Which of the following is true about these plots? Group of answer choices In correlation analysis, the line of best fit may be included on the plot They give little information about the strength of a relationship They give little information about the directionality

Use Newton's method with the specified initial approximation x 1 to find x 3 , the third approximation to the root of the given equation. (Round your answer to four decimal places.) 2/ x x 2 + 1 = 0, x 1 = 2

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute.

a. Define principle-based and virtue-based ethics . Please post a well-developed essay ( paragraphs) using academic writing skills to fully define each stance. Make sure to reference the readings to support your discussion.

Solve by the method of elimination by multiplication-addition. 5x + 41 = 7y 3x + 5y = 3 ou must solve the system by elimination - multiplication-addition including a check

need solution as soon as possible Q1.2 7 Points A nonzero function h(x) E span{1, x, x2 } such that (h, 1) = 0 and (h, x) = 0 where the inner product is defined by (f,g) = f(x)g(x)dr. 1 Please select file(s) Select file(s)
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It might be difficult to express gratitude because people tend to ________ the awkwardness of expressing gratitude and __________ the impact of expressing gratitude. Group of answer choices Over-estimate; over-estimate Over-estimate; under-estimate Under-estimate; over-estimate Under-estimate, under-estimate

The following has choices: SA = Strongly Agree. A = Agree. D = Disagree. SD = Strongly Disagree. I understand these choices True False

The ability to jump helps salamanders move quickly to avoid predators. A paper investigated jumping behavior of 10 species of salamanders and reported the following data on bend angle (the bend [in degrees] in the salamander body, with a larger number reflecting more extreme bending) and the jump takeoff velocity (in meters per second). There is a

A spinner has five sectors of equal size. The sectors are labeled 1, 2, 3, 4, and 5. The spinner is spun twice. X is the number of times an even number is spun. Drag each bar on the horizontal axis to the correct location to create a probability distribution for X. Probability of Spinning an Even Number 0.50 0.48 0.46 0.44 0.42 0.40 0.38 0.36 0.34
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Given the following contingency table with category labels A, B, C, X, Y, Z, what is the expected count with 1 decimal place in the joint category of C and X? X Y Z A 8 10 13 B 15 6 2 C 17 1 5

average salary is $73,204, standard deviation is $12,929. What does the 68-95-99.7 rule say about these salaries? 95% of the salaries fall within ($60,275; $86,133). 95% of the salaries fall within ($47,346; $99,062). 95% of the salaries fall within ($34,417; $111,991). The 68-95-99.7 rule should not be used to compute any of the above intervals.

E. 93.40; his score would fall in the first quarter because it is below the first quartile 2. The time that an Olympic skier takes on a downhill course has a normal distribution with a mean of 85.5 seconds and standard deviation of 0.8 seconds. The probability that on a random run the skier takes between 85.1 and 85.9 seconds is
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Write a direct proof of the fact "O is closed under addition." That is, suppose two functions f and h are both O(g). Prove that the function f h is also O(g)

Doctors are researching a new cholesterol medication for teenagers. Eighteen (18) randomly selected male teenagers have taken the new medication long enough for their cholesterol levels to stabilize. Their data follow a normal distribution. The population standard deviation is 0 = 30. A confidence interval for
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Major Gender Management Other Retailing/Marketing Undecided Female 4 3 9 0 Male 6 4 5 3
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Do Homework - Robert Lyles - Google Chrome mathxl.com/Student/PlayerHomework.aspx?homeworkld=556782775&questionld=98 Math 164: 5:50-8:20 pm Spring 2020 Tues/Thurs (v2 night_20_01_1 Homework: HW 7.2 Part 2 Score: 0.25 of 1 pt 10 of 12 (12 complete) V Score: 93.75% 7.2.43 iQuestion Help Steel rods are manufactured with a mean length of 25 centimeter
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6. What is the null hypothesis Ho? (1 point) a? E 38.36 In :1 38.36 :E > 38.36 ,u :> 38.36 e. None of the above because we need to compare the population mean to 39.13 F15" F7?\
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Question # 2: Odds Ratio and Relative Risk (20 points) A researcher would like to assess the relationship between an exercise program (Program A) that can prevent obesity among youth and a newer more rigorous program (Program B) that was developed by a group of middle school coaches. The students are assessed at the end of the school year. After
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04.10 Outline Your Argument X 07.07 Human Systems Modi x Module 07. The W schoology.com/assignment/5126658544/assessment Question 910 points) (07.01 HQ) Prove that the two circles shown below are similar. 3 C Question 10 (10 points) (07 03 MC) Complete the square to rewrite the following equation. Identify the center and radius of the circle. You
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Question 2.7 Imagine that the nominal interest rate is at the zero lower bound. Using the results from the previous question, explain how the Fed can stimulate the economy by increasing inflation expectations
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Help! I can't solve this question. According to the label, a bag of chips contains 8 ounces of chips. Suppose that the bagging process is normally distributed with a standard deviation of 0.13 ounce. (a) If the machine that does the bagging is set to put 8 ounces of chips in each bag, this would be the mean of the distribution, with standard
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Relate to the concepts discussed; give an example of each. (4 pts. Each) Purchase (cash) discount vs. Purchase allowance (examples) Direct expense vs. Indirect expense (examples) X-Dating (example) Markdown cancellation vs. Markup cancellation(purpose of both) Retail reductions (name them and relate to the use) Sell Through(reason for the

Principal branch math question a) If f(z) = log z is the principal branch of the logarithm, then f(1) = 0. Show that f(z) in fact has a simple zero at z = 1 (that is, a zero of order 1). b) What is the residue of g(z) = 1/f(z) at z = 1
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The university president named 3 new officers:a vice-president of finance, a vice-president of academic affairs, and a vice-president of student affairs.Is this a permutation, a combination or neither?

Which of the following types of logs could record information about failed driver launches or a computer shutting down? System Application Security
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There is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white . At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 67 22

help please Question 1 25 pts A light bulb manufacturers' supplier offers two types of glass, clear and frosted. Suppose an engineer wants to compare the average glass strength (MPa) of each type of glass. The engineer samples 36 clear bulbs and 40 frosted bulbs. The sample mean of the clear bulb glass is 7.35 MPa and the sample mean of the
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A CBS News poll conducted June 10 and 11, 2006, among a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse

Assignment 2.3: Behavior of Graphs Score: 5.2/7 6/7 answered Question 2 The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s) Question Help: Video Submit Question 56"F Windy Q Search
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A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does NOT depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = 0.9, P(B) = 0.9, P(C) = 0.8,

Random Process: Example 2 Starting on January 1, we measure the noontime temperature (in degrees Celsius) at Newark Airport every day for one year. - This experiment generates a sequence of temperatures C(1), C(2), ..., C(365). - With respect to the two kinds of averages of stochastic processes, people make frequent reference to both ensemble
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Which of the following satisfies the differential equation LaTeX: x^{2}y''+2xy'-2y=0? LaTeX: y=x^{-2} LaTeX: y=x^{2} LaTeX: y=-x LaTeX: y=x

Question 2.5 Explain how the Fed can use the nominal interest rate to stimulate the econ- omy
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An analysis of variances produces df between = 3 and df within = 24. For this analysis, what is df total ? a.26 b.28 c.27 d. cannot be determined without additional information

Short Essay 3 a+ - Due Mar 31 by 11:59pm Points 100 Submitting a file upload Available until Mar 31 at 11:59pm Please discuss the following prompt: + How does science contend with or complement Buddhism? Please support your points with supporting evidence. The essay should be approximately 1000 words and include the following: Use at least one
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Under what circumstances should we use ANOVA instead of several t tests to evaluate mean differences. explain.

In nursing research, it is most important that the researcher can do which of the following in relation to statistical analysis of data? The researcher should: Group of answer choices: Not include a statistician until after the data are colleted. Be able to perform the statistical analyses without assistance from a statistician Understand the

Please help explain che OfKid=3695511858questionId=184flushed=false&cld=6006652¢erwin=yes used stabang Intro to Statistics 201 Summer 2020 Gaslin mamie krah & | 08/11/20 4:16 PM bookmark egg Homework: 6-3 Homework Save prop Score: 0 of 1 pt 2 of 11 (8 complete) HW Score: 62.73%, 6.9 of 11 pts Now 6.3.8 iQuestion Help EG Assume a population of
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8th grade pre algebra 1 4/08/2021 Bellwork The sum of two numbers is 483. The difference between them is 167. Find the bigger number and the smaller number
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The age of managers at a large accounting firm is normally distributed with mean of 48 years and standard deviation of 6 years. What is the probability that a random sample of 4 managers will have an average age in excess of 51? A.0.0228 B.0.1587 C.0.8413 D.0.9772

The question along with the parts are included in the image below. G web - Google Search X STAT 315 HW3 - STAT 315, section X ch3-annotated.pdf X Inbox - Canvas - CSU X C webassign.net/web/Student/Assignment-Responses/submit?dep=23811387&tags=autosave#question4607712_3 4. [3/5 Points] DETAILS PREVIOUS ANSWERS Suppose you test ten batteries to see
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47 For 1 through 5. match each figure with its formula for volume. (Each figure may match more than one formula, and more than one figure may match each formula ) 1. RECTANGULAR V = 1wh PRISN V - -BH 2. CONE 3. PYRAMID V= xrih 4. CYLINDER 5. SPHERE Vez xrth 6. Find the volume of the rectangular prism. V= R w.h 6 in. 1. Find the volume of the cone.
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Please help with this question: Problem 5 (20 points) Two random variables are dened on repeated tossing of three fair coins: ' X is the number of heads obtained in each tossing of the three coins, ' Y is the absolute differeme between the numbers of heads and tails. For example, let H be head and T be tail, if the tossing result is HTI-I, X = 2,
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Please enter the code below 6b, 6c, 6d (6)(a) A series of volumes covering the range from minimum to maximum abalone volume will be used in a "for loop" to determine how the harvest proportions change as the "cutoff" changes. Code for doing this is provided. {r Part_60} idxi
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Find the instantaneous rate of change for the function at the given value. f(x)=x2+4xatx=0 The instantaneous rate of change at x = 0 is
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7. Find an equation for the nth term of the sequence. -1, -4, -16, -64, ... A. an = -1 4n - 1 B.an = -1 4n C. an = 4 -1n D. an = 4 -1n + 1 8. Find the sum of the arithmetic sequence. 15, 17, 19, 21, ..., 33 A. 240 B. 140 C. 159 D. 35 9. Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67 A.

Draw the flow chart diagram for the study as described in # 10. [ NOTE: You may either draw by hand or by copying and using the objects below ] question 10 Suppose volunteers were first divided by gender, and then half of the men were randomly assigned to the new drug and half of the women were assigned to the new drug.The remaining volunteers

a)A flour mill produces flour in small bags before distributing them to wholesalers. The average weight of each bag is 8 kg with a standard deviation of 0.5 kg. A random sample of 50 bags was taken and found that the average weight is 7.8 kg. Using a significance level of 0.01, test the hypothesis that = 8 kg against the alternative where 8 kg.

9.) If you start contributing to your retirement account at the age of 18 with $25 a month and you increase your contributions by $5 a month per year, how much will you be contributing a month at the age of 40
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content area top Part 1 Whiffle Company produces children's whiffle ball sets using a threeminusstep sequential process that includes molding, coloring and finishing. When the sets are completely finished, out of which account should the cost be transferred

duing-n.yypfumi5/ag9 G cute clipart animal... G disney clipart - Goo.. voting Analysis Main Assignment Complete this assignment and submit it to the dropbox associated with this lesson. had a real world example of each of these methods being used and explain why that method works best in that soonaria. 1. Ranked Cholos 2. Borda Count . Pairwise
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EXERCISES: A. Simplify the following: 1. 3a - { 4a + 3[2a -2 (2a + 3b) - (a-b) -6 (a+b)] -(7a - 6b); 2. a - {5b - [a -(3c - 3b) + 2c -3 (a - 2b - c) ] 3. 3x - { 3 + 2 [5x -2 (4x + 6) + 5x +7 6x) -10x} 4. 9x2 - | 6x2 + [3x2 +x2 -1 -x2 -1 -x2 -2x (4x + 3) +4] + 3(2x - 1) } B. Find the sum of the following algebraic expressions. 1. X3 + 9x2 -2 ; 3x2
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The data set in the accompanying table contains lastmonth's credit card purchases of 100 customers randomly chosen from a segment of a major credit card issuer. The marketing department is considering a special offer for customers who spend more than $1000 per month on their card. From these data construct a 95% confidence interval for the

The W-2 income of Sandra, a single taxpayer, was $78,307. Determine Sandra's tax liability

15, 16 and 18--- not 17 The temperature of a pan of oil cools according to T = 20 + 60e-0.05t, where t is in minutes. How long does it take for the temperature of the oil to reach 60 degrees? The number of students in dorm A with the flu is given by N(!) = where f is 2+ e-0.1 1 in days. How long does it take for the number of students with the flu
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Jeremy invests $8,500 into an account with a 2.4% interest rate that is compounded quarterly. How much money will be in this account after 6 years? Round your answer to the nearest cent. Do NOT round until you have calculated the final

In the following exercises and problems you can: model investment problems and annuities; explain the difference between sequences and series; solve exercises by applying concepts of the sum of sets of terms of a sequence, and solve problems related to annuities using successions or series. Note: If the result is decimal, you'll round it to two

4. Suppose that there are two risky assets, A and B, with expected returns equal to 2.3% and 4.5%, respectively. Suppose that the standard deviations of the returns are 6% and 11% and that the returns on the assets have a correlation of 0.17. (a) What portfolio of A and B achieves a 3% rate of expected return? (b) What portfolios of A and B

Question 1 (1 point) The two properties about a set of measurements of a dependent variable that we are most interested in describing are: Question 1 options: frequency and average. average and correlation. central tendency and dispersion. histograms and polygons. Question 2 (1 point) The ________________ is the sum of all the scores divided by

PLEASE SOLVE ASAP AND CLEARLY. THANKS. Solve the following equations: Z a 1-z - =2 - 32 (Hint : Express z = x +ly) b) 22(1 + 22) = 1/2 C) 24 = -2V3 -22
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For the equation I'm supposed to write out with only numbers. I'm having a hard time finding the lesson on how to turn logarithmic equations into a solved

Good Afternoon! I need some help solving this problem: *Market researchers believe that brand perception of one of the company's products may vary between different groups. The following data was compiled after interviewing 260 individuals. Can we conclude that brand perception is dependent on age? *What is the expected value for the number oar
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According to a dietary study, high sodium intake may be related to ulcers, stomach cancer, and migraine headaches. The human requirement for salt is only 220 milligrams per day, which is surpassed in most single servings of ready-to-eat cereals. a) If a random sample of 20 similar servings of a certain cereal has a mean sodium content of 244

I would like to get help with this question and be sure to show steps; please be clear with your solution. Thank you for the help 8. Prove that the intersection of a finite number of polyhedra in R" is a polyhedron in R"
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Describe the domains, items, and rating scales for CANS. Question 1/10 Which of the following describes a rating of 0 on a needs item? Select your answer below then click the "submit" button. 0 - Immediate action must be taken. 1 - Watching and waiting is warranted. 2 - There is no evidence of a need. 3 - Action is needed to address the need

a) Prove that the area of a trapezoid is the product of its height and the length of its mid- segment. Hint: Use the Midsegment Theorem for trapezoids. b) Prove that in a trapezoid, the triangles formed by each diagonal with one of the non-parallel sides have the same area. State the converse statement and determine if it holds or not. Hint: Let
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need a help with this homework TIAL POST: 1. What is the quadratic function f(x) that best first your data? 2. Compute the average rate of change (Section 4.2, Topic 4) for your f(x) on the interval represented by your data. Follow Examples 5a and 5b in Section 4.2 using your earliest and most recent values to define the range. Using a from the
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