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Mathematics Questions and Answers August 02, 2022

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Recently a random survey found that 48 out of 100 college freshmen fail to brush their teeth twice a day. This compares higher than the national average of 39%. What would be an appropriate interval at 99% confidence to estimate the true proportion of college freshmen who do not brush their teeth twice daily

The position of chief of police in the city of Corry, Pennsylvania, is vacant. A search committee of Corry residents is charged with the responsibility of recommending a new chief to the city council. The search process results in 12 applicants. Four are minorities. To begin, they randomly select four applicants to be interviewed on the first day,

- p-value (lower tail) = NORMDIST(test z statistic) k. p-value (upper tail) =1-lower tail I. p-value (two tail) =2*MIN(lower tail p, upper tail p)
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The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 7 of the 38 possible numbers. Assume there are 38 ping-pong balls each with a single number between 1 and 38. Any number appears only once, and the winning balls are selected without replacement. A. The commission reports that

a it prove or disprove. There is a joint pof Pay ( xy) whose marginals sartisty px (")- Py(u) for all 4, and get pCY>x ) 20.9 in. 39 definition x ILY if fox, 4) - PCx74(g) for all (e,y). Is this dance for false. if fox, y ) = f ( )(cq) for all ( 5,y ) such that ( (x, y)so; the * ly If xand y are correlated and Yand Z are Correlated then x and 2
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B Describe how you would use a table of random digits (comprised of 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to simulate how long it would take to identify three defective bowling balls.

Consider two data sets. Set A: n = 5; x = 7 Set B: n = 50; x = 7 (a) Suppose the number 20 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 20 to x of the original data set and divide by 6. (Round your answer to two decimal places.) Incorrect: Your answer is

Determine whether the value given below is from a discrete or continuous data set. In an election poll, Nate received 17,167,273 votes. Save Choose the correct answer below. A. The data set is neither continuous nor discrete. O B. A continuous data set because there are infinitely many possible values and those values can be counted. C. A discrete

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During a single day at radio station WMZH, the probability that a particular song is played is 64%. What is the probability that this song will be played on exactly 0 days out of 5 days? Round your answer to the nearest thousandth .

Looking for a few examples each of Exponential Growth and Logistic Growth. Trying to learn how to set them up correctly to calculate. Thank you!

La empresa Tree_Soft, ubicada en Santiago de Chile ha sido contrada para mejorar los procesos de un restaurante en la ciudad de Barranquilla Colombia, para lo cual se han reclutado y seleccionado varios programadores para formar parte del equipo de desarrollo. En ese nuevo equipo, t eres el lder del proyecto, por lo que, ests encargado de dar

James surveyed 120 voters at random out of a sample of 1200 registered voters. Based on the results of the survey, what is the total number expected to vote for for Ms Frizzle in the upcoming election? Ms Frizzle 65 votes Mr hawthorne 75 votes

Random variables Suppose that (X, Y) has a bivariate Gaussian distribution with means ux and uy, variances or and ov, and correlation coefficient p. Show that Y can be written Y poy ( X - MX) + MY + Z (1) OX where Z is Gaussian with mean zero and variance (1 - p2 )? and is inde- pendent of X. Hint: This problem is much easier than it first
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Find the probability. Assuming that workers' salaries in your company are uniformly distributed between $15,000 and $55,000 per year, find the probability that a randomly chosen worker earns an annual salary between $25,000 and $35,000
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1--If the linear correlation coefficient is 0.546, what is the value of the coefficient of determination? Group of answer choices (A)-0.298 (B)-0.092 (C)0.298 (D)1.092 2----If the linear correlation coefficient is -0.654, what is the value of the coefficient of determination? Group of answer choices (A)0.654 (B)0.428 (C)0.308 (D)-0.428 3---If the

i can't find information about "Inspection and Acceptance is found in which Part of the uniform Contract Format (UCF)?

Assignment 2 1. A tire manufacturing company is reviewing its warranty for their rainmaker tire. The warranty is for 40,000 miles. The distribution of tire wear is normally distributed with a population standard deviation of 15,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample of 49 tires revealed

Ted is not particularly creative. He uses the pickup line "If I could Ptx) p, rearrange the alphabet, I'd put U and I together." The random variable x is 0 001 the number of women Ted approaches before encountering one who ' reacts positively. Determine whether a probability distribution is given. If a 0.007 probability distribution is given, nd
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I need help solving this problem.......Question: Use the "complement to determine the probability that he ends up in room A" Boris the rat is trying to find food in the maze shown below. Boris is equally likely to take any path when coming to an intersection. A
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Why does one need at least three conditions for sphericity to be an issue? a. Because sphericity is always relevant when you're comparing two sets of difference scores. b. Because sphericity is always relevant when you're comparing two related means. c. Because sphericity is always relevant when you're comparing two unrelated means. d.Because

CHAPTER 11: Forecasting 1. Patterns exhibited in time-series data: stationary, non-stationary, seasonal. How to detect patterns through the line graph of time-series data

Find f(x) and find thevalue(s) of x where the tangent line is horizontal. F(x)=x^6(x-9)^3 F'(x) = ? The tangent line is horizontal at = ?

An average light bulb, manufactured by the Illumination Corporation last 300 days with a standard deviation of 35 days.Assuming that light bulb life is normally distributed, what is the probability that a light bulb will last at most 370 days? a) 34% b) 84% c)68% d)90%

Benjamin Graham, the father of value investing, once said, "In the short run, the market is a voting machine, but in the long run, the market is a weighing machine." In this quote, Benjamin Graham was referring to the key difference between the "price" and the "value" of a security. In November 2006, Citigroup's stock (NYSE: C) was trading at

What are the steps to solve for theses two parts of the problem set? Part 1t Suppose that If and X are events from a common sample space with F( F) / 0 and P(X ) 4 0. (s) Prove that P(X) - P(XIF)POP) + P(XSIP(IT). Hint: Explain why P(XIAJP( P) - P(Xn F) is another way of writing the definition of conditional probability, and then use that with the
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Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie's favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions: The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? The recipe

Problem 3:Confidence Interval The data in the Statcrunch file Exam 3_Problem 3 contains a random sample of Highline College students who were asked:How many hours per week do you work? a)What is the sample size? b)Make a histogram of the sample data using a width of 10 hours. Label each bar of the histogram with its frequency. c)Use the sample

Calculate the volume of the rectangular prism with a length of 2.0 dm, width of 9.0 cm and a height of 120 mm in cubic decimeters (dm3)

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year. 225 flight records are randomly selected and the number of unoccupied seats is noted, with a sample mean of 11.6 seats and a standard deviation of 4.1 seats. How many flights

Can anyone help me with the Optimisation problem of the big M method. Thanks! 5. It is possible to combine the two phases of the two-phase simplex algorithm into a single proce- dure by the bigM method (see Exercise 8 in Week 4 Tutorial). Let c E R", 0 S b E Rm and A be an m x 11 matrix. Given the LP problem in the form Maximize Z = ch subject to
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For a standard normal distribution, what z-value separates the top 5% of the probability from the remainder of the distribution? What is the probability between -2.111 and -0.121? I really need to know how to set this type of problem up. I am allowed to use calculator, so please let me know if this should be done on a calculator

Based on the model N(1154,82) describing steerweights, what are the cutoff values for a) the highest10% of theweights? b) the lowest20% of theweights? c) the middle40% of theweights?

Answer the following questions #1-6 1. Find the limit of the following functions using l'Hospital's Rule: (a) lim (6? f 1) rm 1: (b) 11m 111\"; +1) (c) lim (3:1) mO'l' 1 d 1' ( ot _) ( > as C W m 2. A group of biologist studied the nutritional effects on rats that were fed a diet contain ing 10% protein. The protein consisted of yeast and
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Table A includes the scores of two alternative design options on 4 different criteria on a 1-100 scale. The weighting of the criteria is given in Table B Table A includes the scores of two alternative design options on 4 different criteria on a 1-100 scale. The weighting of the criteria is given in Table B. OPTION Criterion 1 Criterion 2 Criterion
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Need help with these questions. Thanks 1. w " O At the point shown on the function above, which of the following is true? 0 f' 0 Given the given cost function C(w) = 1500 + 6201: + 1x2 and the demand function 13(3) = 1860. Find the production level that will maximize profit. :] A company's revenue from selling x units of an item is given as R =
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My family of 8 plays a game where the first person chosen wins 1 the second person chosen wins 5 the third person wins 10 and the fourth wins 50. I'm not playing. How many different winning scenarios are there?

3a. Let's assume that over the course of a day you put up a total amount of $1000 in bets. Now, you know that you don't have perfect strategy, so you decide to split up your time by playing Baccarat, American Roulette, and the slot machines. Let's assume that you placed 20% of your bets playing Baccarat, 30% of your bets playing American Roulette,

Neal and Catherine recently graduated from college and are starting a family. Currently, they are just making ends meet with their $45,000 salary. They want to contribute the maximum amount (currently $2,000) to fully fund an Educational Savings Account when their baby is born. How much additional money will they need to budget every month and

"Dewey defeats Truman", 1948 US election ... what happened and talk about how statistics sampling may have been negatively involved. (don't forget to reference properly) (in 100 words or less)

independence, probability of roots of equation [3] Suppose that A,B,C are independent random variables uniformly dis- tributed over [0, 1]. What's the probability that the equation A32 + Ba: + C = 0 has no real roots. (Egg. 2:2 + 1 = 0 has no real roots.)
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ANSWERS Needed for this assignment through ready the journal of Household savings in Hong Kong A statics analyse. It would be a great help if I could get the answers 2. Read Poem (3., 8: Hon, T. (2015). Household Savings in Hong Kong: A Statistical Analysis. Journal of F amr'ly and Economic Issues. DOI 10. l 007/3l0834-015-9457-0 Answer the
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A golfer claims that his average golf score at the course he plays regularly is less than 90. A random sample of 35 rounds of golf was selected and the scores were recorded. Assume that the standard deviation for the population of scores for this golfer is 3.4 and the true population mean for scores for this golfer is 88.2. Using = 0.05, beta

A CD has a 5% chance of being a smash hit and profiting $5.2 million, a 50% chance of being a modest success and profiting $0.9 million, and a 45% chance of being a flop and breaking even. What is the expected earnings value of the CD?

O Points: 0 of 1 Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3 x 3 determinants. [Note: Finding the characteristic V to do with just row operations, because the variable 2 is involved.] 0 2 3 2 04 + 0 The characteristic polynomial is (Type an expression using ) as the variable.)
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JOB ANALYSIS WORKSHEET Department: Shipping Job Description: Loading paper supply rolls Job Title: Packager Analyst Name: Sharon Spear Date: XX/XX/XXXX Measure and Record Task Variables Object Weight Hand Location Vertical Distance Asymmetric Angle (Degrees) Frequency Rate (lifts/min) Duration (hrs) Object Coupling L (Avg) L (Max) Origin Dest.

An organization surveyed 1 comma 1001,100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1 comma 1001,100 adults surveyed, 362362 indicated that they were total abstainers. Sixty years later, the same question was asked of 1 comma 1001,100 adults and 435435 indicated that they were

Fruit prices and the amounts consumed for 2000 and 2017 are below. Use 2000 as the base. 2000 2017 Fruit Price Quantity Price Quantity Bananas (pound) $0.23 100 $0.69 120 Grapefruit (each) 0.29 50 1.00 55 Apples (pound) 0.35 85 1.89 85 Strawberries (basket) 1.02 8 3.79 10 Oranges (bag) 0.89 6 2.99 8 A) Determine the simple price indexes for each

3. You are interested in how much time students spend on the Internet each day. Here are data on the time spent on the Internet {in minutes) for a particular day reported by a random sample of 30 students at a large high school: [Please note b and of this question are included in the Part D Application marks] 28 |28 (42 |43 |4 |45 |46 [a7 [48 [a8
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Stock prices: Following are the closing prices of a particular stock for each trading day in May and June of a recent year. May 869.79 829.61 880.93 884.74 900.68 900.62 886.25 820.43 875.04 877 871.98 879.81 890.22 879.73 864.64 859.70 859.10 867.63 880.37 877.07 873.65 June 873.32 882.79 889.42 906.97 908.53 909.18 903.87 915.89 887.10 877.53

i just checked as you suggested. You were right that it was a requirement of he question to check for asymptotic behaviour as z-> 0. now as z-> 0, the integral approaches 1 so the remainder is O(|z|^(n+1))

A question on a proficiency test is multiple choice with four possible answers, one of which is correct. Assuming that all responses are random guesses, find the porbability that among 12 test subjects, exactly five answer the question correctly. Find the mean and standard deviation for a binomial distribution with 412 trials and a probability of

Use the dependent variable (labeled Y) and one of the independent variables (labeled X1, X2, and X3) in the data file. Select and use one independent variable throughout this analysis. Use Excel to perform the regression and correlation analysis to answer the following. The week 6 spreadsheet can be helpful in this work. Generate a scatterplot for

SODA CAN QUALITY CONTROL Aluminum cans must withstand pressures up to 90 pounds per square inch. The tolerance for the company is 1 in a 1000 (or 0.001 or 0.1%). Below are two samples of cans that the company pulled for inspection. The data given was the pressure needed to puncture the can. Having a pressure less than 90 pounds to puncture the can

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of572potsherds was found, of which362were identified as Santa Fe

How should one response after receiving this message when I am asking for an MOU? I think I need a bit more background before I can respond and wonder if we should coordinate these responses internally before Nathan follows up with me? Either way, can you please provide me with a bit more background on the two questions

You are interested in studying whether noise type affects spatial reasoning abilities. You decide to test spatial reasoning using completion time scores for the paper-folding test with five people, repeating the test on each person with three different noise types (classical music, white noise, and nature sounds). In this experiment, the null

Next, calculate the independent-samples t-test statistic for these data and input your answer below. For reference, here's the data from Question 6, which we'll be using for Questions 6 through 9: Group 1 Group 2 9 5 6 14 1 2 2 12 5 8 4 4 7 11 9 12 4 5 9 10 4 11 2 14

A college campus surveyed a random selection of students to gauge interest in a new exercise facility. Of interest was knowing whether there was a relationship between regular exercise and whether students live on or off campus.Using a 0.05 significance level, it is of interest to test the claim that location of where the student lives (on vs. off
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You're playing a video game. Each time you play, you win a prize with probability 0.419. You decide to play until you win 5 prizes. What's the probability that you play 10 games?

5. U. 5: Draw a smooth curve through tops of the bars of the histogram. Use one to two complete sentences to describe the general shape of the curve. Discussion Questions 1. Why did the shape of the distribution of the data change, as n changed? Use one to two complete sentences to explain what happened. In the section titled Collect the Data,
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The formula for using monthly advertising expenditure to predict monthly sales revenue for a certain company is Y' = 1.81X + 5843 (all values in dollars). This indicates that Question 18 options: spending 5843 dollar on advertising increases sales by a factor of 2. 5843 is spent on advertising each month the company is wasting money on advertising

It is supposed that well rested employees are more productive employees. But most employees do not take leave often enough and many do not use all their agreed paid leave time. A study on Leave Days conducted last year has shown that in New Zealand within the population of full-time employees, the average number of days employees take leave per

Hierarchical clustering is sensitive to the ______________ of the data. Select one: a. Outliers b. Scale c. All of the above d. Variance

Unknown to an experimenter, when a certain unfair coin is tossed, the probability of obtaining a head is p = 0.65. The experimenter tosses the coin 300 times in order to estimate p. What is the probability that the experimenter's point estimate of p will be within the interval (0.62, 0.71)? (Note: Do NOT use normal approximation to binomial;
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Table 3: Observed Genotype and Allele Frequencies: Bottleneck Effect Generation Genotype Frequency Observed Allele Frequency Observed Population RR Rr R (p) r (q) Size 0 0.25 0.5 0.25 0.5 0.5 40 Bottleneck 1 0.2 0.2 0.6 0.3 0.7 5 N 0 0.6 0.4 0.3 0.7 5 0.2 0.6 0.2 0.5 0.5 5 A 0.4 0.4 0.2 0.6 0.4 5 0.6 0.4 0 0.8 0.2 5 0.4 0.4 0.2 0.6 0.4 5 0.6 0.2
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A national survey of U.S. consumers conducted by the Wall Street Journal asked the question: "In general, how would you rate the service that Americanbusinessesprovide?"The distributionof responsesto this questionwas as follows: Excellent8% Pretty good47% Only fair34% Poor11% Suppose a store manager wants to find out whether the resultsof this

how do I find the midpoint of scores interval 40-59

Proyecto integrador Examen rpido de los captulos 3 y 11

Things had been hectic at Carolina Power Company in the aftermath of Hurricane Matthew.For years they had a recovery plan for instances of serious power outages that might occur as a result of hurricanes or ice storms.Their recent experience provided an opportunity to evaluate whether their systems had performed effectively.Clarice Starling is a
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If Beyonc performed as many songs as Robyn per capita how many would you expect Beyonc to sing . Robyn performs 13 songs in a population of 62,000 . Beyonc performs 10 songs in a population of 91,000 how many would you expect Beyonc to sing?

Consider the following two systems. (a) x + 2y 31 + 5y (b) fx + 2y (3x + 5y () Find the inverse of the (common) coefficient matrix of the two systems. () Find the solutions to the two systems by using the inverse, i.e. by evaluating A " B where B represents the right hand side (i.e. B = 2 3 for system (a) and B = for system (b)). Solution to
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Question 4 , a-c AutoSave OFF w 21. Psych210_Exam2_Review - Compatibility Mode Q Home Insert Draw Design Layout References Mailings Review View Tell me Share Comments Times New... v 11 ~ A A Aav Ap EVEN Ev AaBbCcDdE AaBbCcDdE AaBbCcDc|AaBbCcDdE AaBb( AaBbCCDdE AaBbCcDdEe Paste BI Uvab X X A DAY Norma No Spacing Heading 1 Heading 2 Title Subtitle
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For bone density scores that are normally distributed with a mean of 0 and a standard deviation of 1, find the percentage of scores that are a. significantly high (or at least 2 standard deviations above the mean). b. significantly low (or at least 2 standard deviations below the mean). c. not significant (or less than 2 standard deviations away

A shipment of 8 computers contains 2 with defects. Find the probability that a sample of size 1, drawn from the8, will not contain a defective computer. What is the probability that a sample of 1 of the 8 computers will not contain a defectivecomputer?

Question 7 (10 marks) Let X and Y be two independent random variables with marginal probability functions 1 y+1 fX(x) = ()x+1,x = 0,1,2, and My) 2 G) ,y = 0,1,2, 2 a) (1 mark) Find the joint probability function, fxy (x, y). b) (3 marks) Solve for E(XY). C) (3 marks) Find the probability function of T=X+Y. d) (3 marks) Find the conditional
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A:88 to 102 ; B: 86 to 104 What is the predicted value of the response variable for this value of the explanatory variable

Find the indicated derivative and simplify. dy/dx for y = 9x^1/3 (x^3+8) dy/dx = ?

IV- Calculate First and Third Quartile for data: 210, 159, 220, 314, 189, 175, 191, 217, 225 and 192 Prepare a Box Chart for Exercise IV III- Average, Fashion and Median calculation for data: 89, 115, 165, 93, 121, 152, 86, 98, 90 and 85 Prepare a Stem and Sheet Chart for Part III

Which of the following statements are false? A. Two random variables X and Y are independent if the mean of X - Y = the mean of X minus the mean of Y. B. The expected value of a discrete random variable measures variation. C. For a discrete random variable, the sum of all of its values must equal one. D. A continuous random variable can assume any
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Solve the following system of equations by Substitution.The solutions can be recorded as (a, b) and (c, d).The sum of b + d recorded as a whole number is: 5x - y=10 x2 + x -2y=0

Try to come up with a scenario where the objective is to evaluate an intervention (treatment, program etc) on extreme values. How would this study look?

MST001AND002 (10*1=10) 8. (a) Compare the following two ratio scale data sets using suitable graphical analysis tool: Score before training: 12, 17, 15, 23, 27, 21, 24, 19, 20, 23, 16 Score after training: 16, 22, 20, 24, 30, 20, 30, 17, 27, 31, 19 Also interpret the finding on the basis of the graph. (b) Comment on the height of a bar in a bar
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In a study of the accuracy of fast food drive-through orders one restaurant had 30 orders that were not accurate among 351 orders observed use a zero points in significance level to test the claim that the rate of inaccurate orders is equal to 10% does it accuracy rate appears to be acceptable the test statistics for this hypothesis test

Laboratory Experience Water Resources Total Score: 30 points Materials pencil notebook topographic map of your local area Part 1: Calculate runoff on your property. Procedure 1. Using Google Earth, examine a satellite photo of your property. (a) If you have not downloaded Google Earth, do so using the Instructions for Downloading Google Earth. (b)

Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3 x 3 determinants. [Note: Finding the characteristic polynomial of a 3 x 3 matrix is not easy V to do with just row operations, because the variable > is involved.] -30 -3 90 LC The characteristic polynomial is (Type an expression using
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The Rothschild index (R) is given by: Multiple choice question. ||(ET*EF)|| R = ETEF R = ET* EF R = EFET

4. Random samples of Tuesday and Friday withdrawals from a college-campus ATM were compared to see whether or not there was a difference in the means. The results shown below are from MegaStat. Analyze these Hypothesis Test: Independent Groups (t-test, unequal variance) Friday Tuesday 82.40 41.00 mean 75.35 35.53 std. dev. 25 20 n 35 df 41.400
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Customers arrive at adrive-up window of afast-food restaurant at a rate of 3 per minute during lunch hour. a. What is the probability that the next customer will arrive within 2 minutes? b. What is the probability that the next customer will arrive within 4 minutes? During the dinner timeperiod, the arrival rate is 1 per minute. The probability

Please answer all these questions in excel and attach the excel document with the answers. Thank you Studies have shown that the frequency with which shoppers browse Internet retailers is related to the frequency with which they actually purchase products and/or services online.The following data shows respondents age and answer to the question

Find the y-coordinate of the intersection points Find the area of the region Q Find the volume of the solid generated when the region Q is revolved about the horizontal line that exists at the y value found in part A. The region Q is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Find the volume of

The data below are the ages and annual pharmacy b ills(in dollars) of 9 randomly selected employees. Calculate the linear correlation coefficient. Round to three decimal places. Start 2 By 1 Matrix 1st Row 1st Column Age comma x 2nd Row 1st Column Pharmacy bill left parenthesis $ right parenthesis comma y EndMatrix Start 2 By 1 Matrix 1st Row 1st

The questions are shown in the picture below After a minor collision, a driver must take his car to one of two body shops in the area. Consider the following events. D = driver takes his car to shop D L = driver takes his car to shop L T = the work is complete on time B = the cost is less than or equal to the estimate (under budget) The modied
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What type of person is most involved in the neighborhood and community? Who is more likely to volunteer for organizations such as PTA, scouts, or Little League? A random sample of 15 people have been asked for their number of memberships in community voluntary organizations and some other information. Are the differences between the following
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A financial advisor at CaribbeanInvestmentsidentified two companies that are likely candidates for a takeoverinthe near future.Eastern Cable is a leading manufacturer of flexible cable systems used in the construction industry andComSwitchis a new firm specializing in digital switching systems.Eastern Cable is currently trading for $40 per share,

In the month of March, the temperature at the South Pole varies over the day in a periodic way that can be modeled approximately by a trigonometric function. The highest temperature is about -50C, and it is reached around 2 p.m. The lowest temperature is about -54C and it is reached half a day apart from the highest temperature, at 2 a.m. Find the

Need help with this homework problem Find the general expression for the slope of a line tangent to the curve of y = x2 + 2x at the point P(x,y). Then find the slopes for x = 2 and x = 1.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y = x2 + 2x at the point
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30. Set up the integral fur the surface area of the surface of revulutinn, and approximate the integral with a numerical method. revolved abaut the x-axis yzsinxxim
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. Find the area of the triangle with a = 19, b = 14, c = 19. Round to the nearest tenth.

Q1 A simply supported beam has a concentrated downward force P at a distance of a from the left support, as shown in the figure below. The flexural rigidity EI is constant. Find the equation of the Elastic Curve by successive integration. [5 Marks] Q2 Determine the rotations at A and B due to an applied moment MB on the beam, as shown in the

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