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Mathematics Questions and Answers February 28, 2023

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A group medical practice has 40,000 patients. Charts vary in thickness from 1/4 to 1 inch thick. The average of all charts is 1/2 inch thick. (i) Using the average 1/2-inch thickness, how many inches of shelf space will be required for 40,000 charts?

Unit II Assignment Interview For this assignment, you are going to perform an interview of the emergency manager in the area in which you live that focuses on WEAPONS OF MASS DESTRUCTION (WMDs). What you will need to do is compile a list of at least 10 questions based on topics such as Chemical, Biological, Radiological and Nuclear as well as

Pac-Trac, Inc., is a large manufacturer of video games. The market research department is designing a survey in order to determine attitudes towards the products. Additionally, the percentage of households owning video games and the average usage rate per week is to be determined. The department wants to be 95 percent confident of the results and

Approximate the area under the curve on the given interval using n rectangles and right-endpoint evaluation. Round to three decimal places. y=x^3 -1 on [1.4], n=100 a. 58.704 b.61.698 c. 63.000 d. 70.381

An automatic machine in a manufacturing process is operating properly if the length of an important subcomponent is normally distributed with a mean= 80 cm and a standard deviation= 2 cm. a) Find the probability that the length of one randomly selected unit is less than 79 cm. b) Find the probability that the average length of 10 randomly selected

ABC Manufacturing has 6 machines that perform a particular task. Breakdowns occur frequently for this machine. Past records indicate that the number of breakdowns that occur each day is described by the probability distribution seen below: What is the expected number of breakdowns in any given day? What is the variance for this distribution? What

This question is for Rudra only- The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout maximizes the amounts customers will purchase on impulse. A sample of ten customers at the Peach Street store

Stat 153 HW 2: Expectation, Variance, and Covariance Prof Brillinger Due: Wed Feb 11, 2015, 5 PM Note: You may use any fact presented in discussion section or in Appendix A of the book. 1. Show that EX=argmincE(X-c)2 and Var(X)=mincE(X-c)2. That is, show that EX minimizes f(c)=E(X-c)2 over all c (a neat property of expectation), and the minimal

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The Harvard College Alcohol Study finds that 67% of college students support efforts to crack down on underage drinking. The study took a sample of almost 15,000 students, so the population proportion who support a crackdown is very close to p = 0.67. The administration of your college surveys an SRS of 200 students and finds that 140 support a

Sixty five percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had$50,000 in savings. Find the probability that the number that say they would feel secure is(a) exactlyfive, (b) more thanfive, and(c) at most five.

Solve the following LP using the Two-Phase Method: maximize z = x 1 x 2 4 x 3 2 x 1 x 2 2 x 3 8 subject to 2 x 1 x 2 x 3 6 x 1 , x 2 , x 3 0 (a) (2 points) Modify the original LP by introducing the necessary artificial variable(s) and provide the LP formulation for Phase I. Indicate which variables are artificial. (b) (4 points) Phase I: Setup the

To monitor the proportion of green M&M's in packages of M&M's, a quality control manager picked at random 20 M&M packages, each with 300 M&M's in them. The manager computed the proportion of green M&M's across all these packages as 0.15. What is the standard deviation of the sampling process? Note: Each package represents a randomly selected

Hi Solver, I need some help with Stata analysis, please see attachments and provide answers only. Need as soon as possible, thank you! Thank you! You're the best tutor on coursehero!! :)

A CPU burst of a task is exponentially distributed with mean 1/. At the end of a burst, the task requires another burst with probability p and finishes execution with probability 1 p. Thus, the number of CPU bursts required for task completion is a random variable with the image {1, 2, 3, . . .}. Find the distribution function of the total service

in a certain population, 18 percent of the people have Rh-negative blood. Abloom bank serving this population receives 95 blood donors on a particular day. (a): what is the probability that 10 or fewer are Rh-negative? (b) what is the probability that 15 to (inclusive) of the donors are Rh-negative?

UIZ # 4 Problems 1. Use the definition of an improper integral to evaluate the following integrals. (a) 1 dx 2 x 2 0 (b) 5 1 0 5/ 2 x (c) 2 e 1 x dx dx 2. Determine whether the improper integral is convergent or divergent without solving the integral. (a) x 1 (b) 3 2x dx 3x 2 2 1 x 1 2 dx 3. Complete the square in the denominator, make appropriate

1.) If thrice the smaller number exceeds the larger by 12. Find the larger number if the two numbers are consecutive odd integer? Pls explain me I'm a little bit confused about exceed 2.) A runs around a circular track 50 seconds, and B in 60 seconds, Five seconds after A starts, B starts from the same point in the same direction. When will be

Module 3 Disscussions Trigonomtric and Periodic Functoin. 1. Think of a real life application of a sinusoidal function. The model should have both data and graph. a. Write the sinusoidal function representing the model. b. Find the function's amplitude and period c. Explain why the phenomena repeat themselves indefinitely.

Find the particular solution of the differential equation satisfying the given conditons, D^2y-Dy-2y=0 if y=2 and y'=1 when x=1

Consider the following production function: Y (t) = F (K(t),A(t)N (t)), where Y (t) denotes output, K(t) denotes total capital input, A(t) denotes knowledge,and N (t) denotes total labour input. F (,) is the aggregate production function. Note thatA(t)N (t) is commonly referred as effective labour, and technological progress that enters the

A. The position function of a particle is given bys(t)=t^32t^27t,t0wheresis measured in meters andtin seconds. When does the particle reach a velocity of 5 m/s? B.A particle moves along a straight line with equation of motion s = t^ 3 1 t^ 2 Find the value of t (other than 0 ) at which the acceleration is equal to zero.

A local car dealer is attempting to determine which premium will draw the most visitors to its showroom. An individual who visits the showroom and takes a test ride is given a premium with no obligation. The dealer chose four premiums and offered each for one week. The results are as follows: Wee k Premium Total Given Out 1 Four-foot metal

1 The following information is available. H 0 : 60H 1 : > 60The sample mean is 61.74, the sample size is 169. The population standard deviation is 8.60. Use = 0.025. a) What type of test would be appropriate in this situation? A right-tailed test. A left-tailed test. A two-tailed test None of the above. b) Which of the following sounds like an

Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) (x8) 2 = lnx x=

An insurance salesman sells policies to 5 men, all of identical age in good health. according to the actuarial tables, the probability that a man of this particular age will be alive 30years hence is 2/3, find the probability that in 30 years, a) all men will be alive b) at least 3 men will be alive c) only 2 men will be alive d) at least 1 man

MTH 2001: Project 2 Instructions Each group must choose one problem to do, using material from chapter 14 in the textbook. Write up a solution including explanations in complete sentences of each step and drawings or computer graphics if helpful. Cite any sources you use and mention how you made any diagrams. Write at a level that will be

Cab Company Scheduling let Di = # of drivers who start their 8 hour shift in period I (I = 1,2,3,4,5,6) period 1 12:00:00 AM--4:00am period 4 12 noon -- 4:00pm period 2 4:00am -- 8:00am period 5 4:00pm -- 8:00pm period 3 8:00am -- 12 noon period 6 8:00pm -- midnight average fare/ driver # of drivers in each period period 1 80 period 2 500 period 3

Two dice are rolled, find the probability that the sum is a) equal to 1 b) equal to 4 c) less than 13

MATH 1030-004, Homework 1 Fall 2013 Assigned 9/4/13 lC: 13-35 odd. These are posted for students who do not have a book. 13-27. Choose the first set in the list natural numbers, whole numbers, rational numbers, and real numbers that desribes the following numbers. 13. 23 15. 2/3 17. 1.2345 19. 7r 21. -34.25 23. 7r/4 25. -13/3 27. 7r / 129 29-35. U

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 143 millimeters, and a variance of 25. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 141.5

A scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, U(mean) , of babies born during the 24th week of the gestation period. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate U (mean) . Assuming that the population of birth weights of

\fp. 183, #s 6.4.1 and 6.4.2 Wednesday, December 02, 2015 5:19 PM Sunday, November 29 5.4 Written exercise: Daniel & Cross p. 183, #s 6.4.1 and 6.4.2 5.5 SPSS exercise: Open the Criminal Records SPSS data file linked on the assignment page. Follow the instructions as outlined

Please include full solutions Thank you so much ! According to a national survey, the average commuting time for people who commute to a city with a population of 1 to 3 million is 19.0 minutes. Suppose a researcher lives in a city with a population of 2.4 million and wants to test this claim in her city. Taking a random sample of 20 commuters,

The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 55 hours. Suppose that a random sample of 80 bulbs of this brand has a mean lifetime of 497 hours. Find a 95 % confidence interval for the true mean lifetime of all light bulbs of this brand. Then complete the table below. Carry your intermediate

Beta for Stock Market Risk: One measure of the risk or volatility of an individual stock is the standard deviation of the total return (capital appreciation plus dividends) over several periods of time. Al though the standard deviation is easy to compute, it does not take into account the extent to which the price of a given stock varies as a

The total real estate commission for a real estate company was $70 million in 2008, an increase of $10 million over the year 2004. What was the percent increase? Round answer to the nearest tenth of a percent

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The function f(x) = x2+ 50x 264 models the profit, in dollars, a yoga studio makes for selling monthly memberships, where x is the number of memberships sold and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the x-intercepts. What do these

The United States uses a unit system different from a large majority of the world. This discussion activity focuses on the metric system and whether the United States should convert to that system of measurement. 1. Do you see this to be an advantage or disadvantage? Explain your answer. 2. Should the United States convert to the metric system? 3.

7001 COMPUTING FOR PRACTICAL STATISTICS IN-COURSE ASSESSMENT 1 (2014/15 SESSION) Rules on group work: Please work on this ICA in the group you have been assigned to by randomisation. You are not allowed to change groups (except in the presence of suitable extenuating circumstances). You are not allowed to exchange information, especially

Hi Sunil, Could you please complete? I need this done ASAP. in the next 2 hours.

see attached spreadsheet to answer all the questions only solutions needed

the spin numebers are 1,2,3,4 Jose spins the spinner 8 times. In those 8 spins, the arrow never lands on 3. Based on this information, should Jose be concerned that the spinner is unfair? Explain. Jose spins the spinner 500 times. In those 500 spins, the arrow lands on 3 a total of 42 times. Based on this information, should Jose be concerned that

Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is d = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. x 28 31 20 25 28 27 33 35 y 26 27 26 25 29 32 33 34 Select

A strategy which is not aimed at reducing selection bias is: a. Development of an explicit case definition b. Encouragement of high participation rates c. Standardized protocol for structured interviews c. Standardized protocol for structured interviews

On average, a doctor will treat between 0 and 5 patients per day. The random variable x represents the number of patients that were treated on given day. This probability distribution results in a mean score of approximately 2.57. How do you interpret the mean? X 0 1 2 3 4 5 P(X) 0.01 0.11 0.35 0.42 0.05 0.06

You will submit one Word document for this activity. You will create this Word document by cutting and pasting SPSS output into Word. This assignment consists of two parts. In the first part, you will utilize an existing dataset to analyze the dataset from repeated-measures experimental design. All SPSS output should be pasted into your Word

Use the standard normal curve find the value of z when the area to its left is 0.04 A. -1.63 B. -1.75 C. -1.89 D. -1.48

Calculate the standardized t-test for a hypothesis testing for the following samples parameters: X1=50, n1=16, s1=3,x2=45, n2=11, and s2=2

Given the standardized normal distribution (with a mean of 0 and a standard deviation of 1), what is the probability that A.) Z is between -1.57 and 1.84? B.) Z is less than -1.57 or greater than 1.84? C.) Z is less than 1.08? D.) Z is greater than -.21 E.) Z is less than -.21 or greater than the mean? F.) Z is less than -.21 or greater than 1.08?

A small motor manufacturer makes two types of motor, models A and B. The assembly process for each is similar in that both require a certain amount of wiring, drilling, and assembly. Each model A takes 3 hours of wiring, 2 hours of drilling, and 1.5 hours of assembly. Each model B must go through 2 hours of wiring, 1 hour of drilling, and 0.5

2: Data Preprocessing Release Date: September 27, 2016 Due Date: October 6, 2016 (upon the start of class) 1. (30 points) Suppose the data for analysis includes an attribute Age and a binary class attribute (with values Y and N). The age values for the data records (in increasing order) and their corresponding class values are as follows. Age: 10,

1. A U.S. Travel Data Center survey reported that Americans stayed an average of 6.5 nights when they went on vacation (sample mean = 6.5). The sample size was 1500 (n = 1500). Find a point estimate for the population mean. Find the 95% confidence interval of the true mean. Assume the standard deviation was 0.75 nights ( = 0.75).

Discuss possible study populations, elements, sampling units, and sampling frames for drawing a sample to represent the population listed here. You may also wish to limit your discussion to populations in a specific state or other jurisdiction. A. Municipal Police Officers B. Felony Court Judges C. Auto Thieves D. Licensed Automobile Drivers E.

Score: <1 point> Week 4 Confidence Intervals and Chi Square (Chs 11 - 12) For questions 3 and 4 below, be sure to list the null and alternate hypothesis statements. Use .05 for your significance level in making your decisions. For full credit, you need to also show the statistical outcomes - either the Excel test result or the calculations you

Problem 2. Suppose the numbers of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water tend to be approximately normally distributed, with a mean of 85 and a standard deviation of 9. a)What is the probability that a given 1-ml sample will contain mode than 100 bacteria ? b)Within what limits would you expect 95% of

(a) Define the decision variables and write the linear programming model for the problem in the space provided below (b) Sketch the feasible region. Give your answer in the worksheet named P1-Graph (i) You can use QM for Windows to get the graph, copy and paste it onto the worksheet named P1-Graph OR (ii) You can sketch the feasible region on

Good customer service is always one of the key successes to a company. Anelectricity company aims to keep the customers waiting time on the phone to be less than12 minutes. Let X (in minutes) be the waiting time of a customers call to the CustomerService Call Centre. According to past records, the waiting time can be assumed tofollow an

How do you solve for partial derivatives? Can you please provide examples?

A tablet PC contains 8152 music and video files. The distribution of file size is highly skewed. Assume that the standard deviation for this population 0.82 megabytes. What is the standard deviation of the average file size when you take an SRS of 16 files from this population?

a recent survey of gasoline prices indicated that the national average was $4.098 per gallon. The dallas automobile club claimed that gasoline in texas was significantly lower than the national average. A survey covering 10 different suburbs in dallas found the average price of gasoline to be $3.924 per gallon with a population standard deviation

The options for b) are: 1) Has or does not have; 2.) More than 3 or less than 2; 3) below or above; 4)likely or highly unlikely Options for 7d are: 1) does not have or has; 2) less than 2 or More than 5; 3) above or below; 4) likely or highly unlikely

In more than 150 words, respond to the following statement: Hypothesis testing involves drawing inferences about two contrasting propositions relating to the value of a population parameter, such as a mean proportion, standard deviation, or variance. One proposition is assumed true, null hypothesis and the other proposition the alternative

_____________________ linear regression cannot be used with more than two predictors. choices are: multiple, simple, complex or single

Score: <1 point> Week 4 Confidence Intervals and Chi Square (Chs 11 - 12) For questions 3 and 4 below, be sure to list the null and alternate hypothesis statements. Use .05 for your significance level in making your decisions. For full credit, you need to also show the statistical outcomes - either the Excel test result or the calculations you

Reconsider the network diagram. Suppose that after 12 weeks, activities 1-2, 1-3, and 2-4 have been finished; activity 2-5 is 75 percent finished; and activity 3-6 is half finished. How many weeks after the original start time should the project be finished? Picture Project can be completed in a total of weeks

The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of twelve motors was tested, and it was found that the mean current was x = 1.24 A, with a sample standard deviation of s = 0.48 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a

The number of customers arriving at customer service of a department store follows a Poisson distribution with a mean of =4.0 per time unit. A time unit has 10 minutes. Use X to denote the time between two customer arrivals. The mean (or expected value) of X in minutes is The standard deviation of X in minutes is If one customer just arrived, the

The population mean annual salary for environmental compliance specialists is about $63,000. A random sample of 36 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $59,500? Assume=$6,500. Interpret the results. Choose the correct answer. A. Only 66% of samples of 36 specialists will

Construct the confidence interval for the population mean . c=0.95, x=15.9, =2.0, and n=85 A 9 5 % confidence interval for is ( _ , _ )

A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 4.70 minutes and the standard deviation was 0.50 minutes. a. What fraction of the calls last between 4.70

Rework problem 18 in section 4.1 of your text, involving selecting balls from a box of numbered balls. Assume that the box contains balls numbered from 1 through 20, and that 3 are selected. A random variable X is defined as 1 times the number of odd balls selected, plus 2 times the number of even. How many different values are possible for the

Assume adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. a. Find the probability that a randomly selected adult has IQ < 115 b. Find the probability that a randomly selected adult has IQ > 70 c. Find P 30, which is the IQ separating the bottom 30% from the top 70%

Consumer Reports provided extensive testing and ratings for more than 100 HDTVs. An overall score, based primarily on picture quality, was developed for each model. In general, a higher overall score indicates better performance. The following (hypothetical) data show the price and overall score for the ten 42-inch plasma televisions (Consumer

Question 30 A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today (2016)and those enrolled five years ago (2011). A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken. You are given the following information: 2016 2011

Use the method of cylindrical shells to find the Volume Vgenerated by rotating the region bounded by the given curves about x = 3. y=3x4, y=0, Considerlthe following. y': 4xe'x, y = 0, x = 2; about the y-axis' (a) Set up on integral for the volume Vof the solid obtained by rotating the region bounded by the given curve about the specified ax v'"

The widely disseminated results of the Institute of Medicine's (IOM) report \"To Err Is Human\"1identified the significant problem of medical errors and related injuries that occur in hospitalized patients. However, the report and much of the subsequent literature about medical error have focused primarily on medical care for adults. Children are

A certain mountain has an elevation of 19 comma 820 feet. In 1915, the glacier on this peak covered 10 acres. By 2004 this glacier had melted to only 1 acre.(a) Assume that this glacier melted at a constant rate each year. Find this yearly rate.(b) Use your answer from part (a) to write a linear equation that gives the acreage A of this glacier t

Unit 1 Assignment Started: Aug 24 at 5:18pm Quiz Instructions Please choose one response for each question. There are 30 questions, and there is no time limit. There are no retakes. You will be able to see the correct answers, but these will only be available until a week after the quiz (assignment) is due. Question 1 1 pts Ski resorts are

The following are all 6 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 9,5,7,10,6,5 Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to at least two decimal places.

A parcel of land purchased by Clean Energy, Inc. is estimated to contain 15.25 million tons of anthracite coal. The purchase price was $10,850,000, startup costs were $3,411,000, and the residual value is $1,464,000. If 2,325,000 tons were produced during the year, find the annual depletion cost. (Round depletion cost per unit to the nearest cent)

1) Let X be a discrete random variable that possesses a binomial distribution with n=5 and p=0.90. What are the mean and standard deviation of this probability distribution? Round your answers to three decimal places, if required. Mean Standard deviation 2) A contractor has submitted bids on three state jobs: an office building, a theater, and a

A car enters a highway at Point A and travels west at a constant speed of 55 miles per hour. One hour later, another car enters the highway at Point A, and travels west at a constant speed of 65 miles per hour. How long does it take the second car to overtake the first

show that a set of n elements has 2^n subsets. Use induction method.

Here are two more questions...... - Identify the most important internal environment factors in the general, industry, and external analysis in relation to the internal analysis. - Perform a competitor's analysis. Thank you, Thanks.....

Find the critical value for t /2 corresponding to n = 12 and 95% confidence level.

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Suppose a random survey is conducted of 9 U.S mothers who recently weaned their children. The average weaning age was 21.1 months with a standard deviation of 5.8 months. Conduct a hypothesis test to determine if the average weaning age in the U.S, is less than 12 months old. Use a 5% level of confidence. Show you hypothesis, calculated z or t

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Set 5 Statistics 430 Spring 2016 Note: The page numbers that are given are for the 9th edition. I provided the page numbers for the 8th edition in parentheses . Due: This problem set is due on Friday March 18th on Canvas Reading: Chapter 4 in the text (Ross) and section 7.7 on moment generating functions 1. Ross, Problem 4.26 in the Problems

Adult tickets for a play cost $9 and child tickets cost $4. If there were 27 people at a performance and the theatre collected $143 from ticket sales, how many children attended the play

amy had homweork for math, science and history. She spent 1/3 of her time working on math and 1/4 of her time working on science. How much more of her time did amy spend working on math than science? How much of her time did she spend on history

A lottery is conducted which involves the random selection of numbers from 0 through 4 . To make sure that the lottery is fair, a random sample of [n=250] selections was taken. The following results were obtained: Value ----- Frequency 0 ----- 40 1 ----- 45 2 ----- 55 3 ----- 60 4 ----- 50 ------------ 250 What is your conclusion about the

In the past.The mean running time for a certain type of flashlight battery has been 9.8.The manufacturer has introduced change in the production method and wants to perform a hypothesis test to determent whether the mean running time increased as a result the hypotheses are; Ho;U=9.8 Ha:U>9.8 suppose that the results of the sampling lead to

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STATISTICS FOR BUSINESS Project Description: Identify and analyze a reallife, business application of statistics. The \"business\" can be a forprofit, nonprofit, small or large entity. The following are not acceptable topics: A specific application/problem discussed in class An application that uses descriptive statistics (i.e., graphs,

ID Salary Compa Midpoint Age Performance Service Gender Rating Raise Degree Gender 1 Gr Students: Copy the Student Data file data values into this sheet to assist in doing your weekly assignments. The ongoing question that the weekly assignments will focus on is: Are males and females paid Note: to simplfy the analysis, we will assume that jobs

A small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a significant increase in

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