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Mathematics Questions and Answers March 11, 2023

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write an equation. Jerry has 3 pieces of string. The total length is 92 inches. the sum of the two longer pieces is 79. The middle piece is twice as long as the shortest piece. What are the length of the 3 pieces. answer is 13 inches, 26 inches, 53 inches.

For the standard normal distribution, the area to the right ofz= -2.30, rounded to four decimal places, is:

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Find the product. (x+3) (x^2-8x+6) Simplify your answer.

Math E-15 Homework 5 1. Find the derivative of each of the following functions. (a) y = sin(7x) (b) y = 2sin(7x) (c) y = cos(2sin(7x) ) (d) y = ln(sin(x3 )) p (e) y = arctan(log10 (5x)) (f) y = e3x tan(2x4 ) (g) y = sin(cos(x 23x )) (h) y = (1 + x6 )8x (i) y = e2 + ln 3 + sin 4 + arctan 5 2 2. Consider the function f (x) = ex . 2 2 [Remember that

1.To solve the following quadratic by completing the square, what value would you add to both sides of the equation? x^2 - 6x = 7 (and explain why) 2. y= (x-2)(x-3)(x+5) A) Determine the end behavior B) Find all X intercepts C) Find all y intercepts D) Use the x intercepts to divide the x axis into intervals E) Choose one point within each

1. When the blue m&ms were introduced by Mars, Inc. in 1995, the company claimed that the percentage of blue m&ms in each bag would be 10%. Test the companys claim at the significance level of =.05 Total number of m&ms used by all class members = 2,715 Total number of blue m&ms found by class members = 652 Sample proportion of blue m&ms = 652/2715

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A bath soap manufacturing process is designed to produce a mean of 120 bars of soap per batch. A sample of 11 batches show the following numbers of bars of soap: 108, 118, 120, 122, 119, 113, 124, 122, 122, 120, 123 At the 1% level test if the production process meets the standard output of 120 bars per batch. Use critical value(s). For each test

Excel Project #1 This is a multi-part assignment using various functions in Microsoft Excel. You should start the project as soon as it becomes available. You can find all of the procedures for performing the tasks required for this assignment in the Excel Notes folder in Blackboard. Do not hesitate to contact me if you have any questions. For

Jennifer scored a 18 on an exam that had a mean of 21 and a standard deviation of 3. Kate scored a 35 on an exam that had a mean of 39 and a standard deviation of 5. who scored better?

PSYC 421 SPSS ASSIGNMENT PART 1 INSTRUCTIONS The Center for Epidemiologic Studies Depression Scale (CES-D Scale) In the Assignment Instructions folder, there is an SPSS data file that will be the basis for your analysis. The data included are fictional and were created solely for this assignment. The Center for Epidemiologic Studies Depression

A study by Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all U.S. adults are stockholders. In addition, the study determined that 75% of all U.S. adult stockholders have some college education. Suppose 37% of all U.S. adults have some college education. A U.S. adult is randomly selected. A) What is the probability that

Exams Fall 2015-AMAT554-Intro to Theory of Statistic IExams Fall 2015-AMAT554-Intro to Theory of Statistic I An insurance company insures a large number of homes. The insured value, X, of a randomly selected home is assumed to follow a distribution with density function f(x)=4x -5 , for x>1. Given that a randomly selected home is insured for at

A United Nations report shows the mean family income for Mexican migrants to the United States is $27,150 per year. A FLOC (Farm Labor Organizing Committee) evaluation of 30 Mexican family units reveals a mean to be $29,500 with a sample standard deviation of $11,150. Does this information disagree with the United Nations report? Apply the 0.01

If np5 and nq5, estimate P(fewerthan7) with n=14 and p=0.6 by using the normal distribution as an approximation to the binomialdistribution; if np <5 or nq <5, then state that the normal approximation is not suitable.

A radio station runs a promotion at an auto show with a money box with 14 $100 tickets, 11 $150 dollar tickets, and 11 $25 dollar tickets.The box contains an additional "dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that all three tickets have no value. The probability that all three tickets drawn have no

Find the product then simplify answers. ( 2x - 4 ) ( 2x^5 - 4x^4 + 5x^3 + x^2 - 4x + 1)

3 Chapter Exercise 10. In a study of the effects of stress on illness, a researcher tallied the number of colds people contracted during a 6-month period as a function of the amount of stress they reported during that same time period. There were three stress levels: minimal, moderate, and high stress. The sums of squares appear in the following

APPLICATION: REGRESSION ANALYSIS Application: Regression Analysis Sonia Zeidan PSY 838 Rob Hess September 23, 2015 2 [TYPE THE DOCUMENT TITLE] Application: Regression Analysis From our analysis of the data for those hired two years ago we can conclude that with an adjusted R Square of .752 Model 2 accounts for 75.2% of the variability in the data.

Please provide an example of a null and alternative hypotheses for a decision that is relevant to your life. This can be a personal item or something at work. Identify the Type I and Type II errors that could occur with your decisionmaking process.

Question 1 (1 point) SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on data from the College Board ATP). If a sample of 35 students are selected randomly, find the probability that the sample mean is above 480. ( 1 point ) Question 1 options: A) 0.9931 B) 0.0069 C) 0.3372 D) 0.6628

Create a table in which you propose the calculation and graphs you will need to perform to answer the health question you are investigating. Then explain why you chose these calculations to explore your health question. Health Question: To what extent does age influence length of hospital stay for MI patients? From the following Articles:

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the relationship between gender and participation in the last election. The results were: Men Women Voted 2399 3777 Didn't Vote 1399 2425 If we are testing for a relationship between gender and participation in the last

1) Find all real solutions of: 4 2 2 x + x =3 2) Given the complex numbers. Find and simplify z w , , zw : w z z=5+iw=4 +2i 3) Solve the inequality: 9 x 2+16 24 x 4) Skippy wishes to plant a vegetable garden along one side of his house. In his garage, he found 32 linear feet of fencing. Since one side of the garden will border the house, Skippy

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the weights of ripe watermelons grown at mr smiths farm are normally distributed with a standard deviation of 2.6lbs. find the mean weight of mr smiths ripe watermelons if only 4% weigh less than 18lbs. give your answer correct to 1 decimal place.

The shortest side of a right triangle measures 7m. The lenghts of the other two sides are consecutive integers- the hypotenuse being the longer of the two. Find the lenghts of the other two sides. (PLEASE SHOW WORK, ALL THE STEPS TO GET THE ANSWER)

Let z denote a variable that has a standard normal distribution. Determine the value z * to satisfy the following conditions. (Round all answers to two decimal places.)(a) P ( z < z *) =0.025 z * = (b) P ( z < z *) =0.0097 z * = (c) P ( z < z *) =0.0507 z * = (d) P ( z > z *) =0.0208 z * = (e) P ( z > z *) =0.0097 z * = (f) P ( z > z * or z < z *)

101.26 116.25 110.51 95.42 94.62 109.72 125.63 89.01 110.25 117.76 130.91 115.42 100.89 143.47 117.73 124.03 110.64 104.65 111.9 106.69 90.76 121.62 133.09 141.1 120.98 139.65 119.04 130.91 102.24 129.44 117.65 109.02 138.32 102.09 113.15 116.76 117.38 94.16 104.44 111.9 109.24 122.99 117.01 102.67 127.93 111.82 105.61 125.66 109.58 125.04 111.31

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1. Find dy y= x + 6 dy= 2. Thedemand, D, for a new rollerball pen is given by D= 0.005p 3 - 0.4p 2 + 180pwhere p is the price in dollars. a) Find the rate of change of quantity with respect to price, dD/dp. b) How many units will consumers want to buy when the price is $25 2 5 per unit? c) Find the rate of change at pequals = 25 2 5 , and

factor the polynomials using whatever strategy seems appropriate. State what methods you will use and then demonstrate the methods on your problems, explaining the process as you go #12 x 2 -x - 12 #92 w 3 - 3w 2 - 18w

A nutrition lab tested the mean sodium content of 100 hot dogs. The lab reported that the mean sodium content of their sample is 322 mg with a standard deviation of 2.5 mg .a. One of the aims is to report a 95% confidence interval for the mean sodium content of hot dogs. Is it necessary to assume the distribution of sodium content of hot dogs is

A psychologist claims that more than 29 percent of the professional population suffers from problems due to extreme shyness. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in non-technical terms. A. There is sufficient evidence to support the

I only have an hour left, please assist. An electronic company wishes to determine the best order size for its best selling data storage equipment. The company has estimated the annual demand of 1000 units. The holding (carrying cost) is 10% of selling price of $1000 and the ordering cost is $25 to place. What isthe economic order quantity? Select

You are an analyst for theDepartment of Health and Human Services (HHS), and are examining thehealth effects of smoking. You have collected the following data about 100people whose smoking status is known and who took a physical exam: Passed the exam Failed the exam Total Smoker 10 20 30 Nonsmoker 40 30 70 Total 50 50 100 If a person is selected

The national average for the math portion of the College Board's SAT test is 530. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two

FIVE ANCOVA & Factorial ANOVA Download the following SPSS Data Set. Activity 5.sav Websites Reference Field text companion site. Provides access to SPSS data files. http://www.sagepub.com/field4e/main.ht m Document/Other Reference Instruction Download and use Activity 5sav file to complete exercises This assignment consists of two parts. In the

The Assignment should be prepared using Microsoft Word and be at least two paragraphs in length (12 point, double spaced). Explain the Central Limit Theorem and why it is important. Explain the difference between a point estimate and a confidence interval. Explain what impact increasing the sample size will have on the margin of error.

The following data show the number of hours per day 12 adults spend in front of screens watching television-related content: 1.3 , 4.9, 4.2, 4.8, 7.6, 6.9, 5.4, 2.2, 5.3, 1.8, 2.4, 8.3 a) construct a 95% confidence interval to estimate the average number of hours per day adults spend in front of screens watching television-related content: please

Suppose that the conditional distribution of Y given X = x is Poisson with mean E(Y | x) = x, Y | x ~ POI(x), and that X ~ EXP(1). (a) Find E(Y). (b) Find Var(Y).

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write a equation. A model rents double rooms for $55 per day and single rooms for $26 per day. If 23 rooms were rented one day for a total revenue of $1033, how many rooms if each kind were rented? answer is 8 single rooms and 15double rooms.

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A company provides tuition for mathematics students across the country. It provides two levels of tuition: tuition for general-level students and tuition for advanced-level students. All students who receive tuition at this company must first complete a test, to assess their initial comprehension of mathematics. For general-level students, the

At the downtown office of First National Bank, there are five tellers. Last week, the tellers made the following number of errors each: 7, 5, 5, 1, and 4. (a) How many different samples of 2 tellers are possible without replacement? Different samples (b) List all possible samples of 2 observations each from left to right without replacement and

The life times, Y in years of a certain brand of lowgrade lightbulbs follow an exponential distribution with a mean of 0.75 years. A tester makes random observations of the life times of this particular brand of lightbulbs and records them one by one as either a success if the life time exceeds 1 year, or as a failure otherwise. Part a) Find the

A health care professional wants to determine whether individuals with hypertension who takeAtenololhave significantly lower systolic blood pressure than individuals with hypertension who do not takeAtenolol. For individuals who have not been prescribedAtenolol, the population systolic blood pressure mean is 165 (= 165).The 30 individuals who

Valid Forms for Sentential Looic Valid Argument Forms of Inference 1 . Modus Ponens(Mpl: p) 5 . Conlunction{Conj}: q p p l.'. q q l.'.p.q Modus Tollens(MT): b. HypotheticalSyllogism (flSl: p) q p) q - Q /:' - P q ) r l . ' .p ) r 3 . DisiunctiveSyllogism (DSl: pv q P l:.Pvq - p l..q ConstructiveDilemma ICD) : pv q -q 7 . Addition {Add): pv q l.'.p

MA170 Finite Mathematics Mid-Point Reflection Identify the most important things you have learned from the course so far. Then, explain the strategies you have used to learn them.

Suppose there are n people assigned to m different tasks. Assume that each person is randomly assigned a task and that for each person, all tasks are equally likely. Use linearity of expectation to find the expected number of people working on a task alone.

determine whether the following sequence is monotonic An=(n+1)/n

Find absolute extrema if they exist, as well as all the values of x where they occur, for each function, and specified domain. f(x)=-2x/x^2+3 on the domain [0,3]

MATH 131 - Unit 3 Class Activity 08/16 1. If you make just one 90% confidence interval will it necessarily capture the population value you are estimating? ______________________________________________________ 2. If you make ten different 90% confidence intervals, how many of them do you think will capture the value?

find the standard deviation for the binomial distribution which has the stated value of n and p round the answer to the nearest hundredth n=639 p=0.7

Meena Chavan Corp.s computer chip production process yields DRAM chips withan average life of 1,800 hours and =100 hours. The tolerance upper and lower specificationlimits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAMchips to specification?

Find the product. (2x - 3) (2x^5 - 5x^4 + 4x^3 + x^2 - 2x + 3) Simplify your answer.

If the probability that a regular TV watcher will watch the TV show Jeopardy is 0.32 and the probabilitythat a regular TV watcher will watch the TV show Wheel of Fortune is 0.27 and the probability that a a regular TV watcher will watch both Jeopardy and Wheel of Fortune is 0.20, what is the probability that a regular TV watcher will watch Wheel

A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is/3, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?

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Submit your statistical analysis report and recommendations to management. It should be a complete, polished artifact containing all of the critical elements of the final product. It should reflect the incorporation of feedback gained throughout the course.Note that you will need to refer to the scenario in the article A-Cat Corp.: Forecasting.

I generated 1000 observations from the MA(1) model with parameter 0.7 using the following R function: dataset = arima.sim(n = 1000, list(ma = 0.7)) I then fitted the ARMA(1, 2) model to the data using the function arima(dataset, order = c(1, 0, 2)), which gave the following output: Call: arima(x = dataset, order = c(1, 0, 2)) Coefficients: ar1 ma1

Hi - Can anyone do basic R studio homework. I did 3 assignments & my professor gave them back to me. He said it was too much info & that I shouldn't have used a NOVA on assignment 3. I need help cleaning up my assignments so I can get a passing grade. I have a 4th assignment that I didn't even attempt to start, I will just give that over to

If f(x) is a continuous function defined for all real numbers, f(-2) = 10, f(-7) = -5, and f(x) = 0 for one and only one value of x, then which of the following could be that x value? a:-3 b:-8 c:0 d:2

Econ 2810 Intro to Statistics and Computing In Economics Spring 2016 Problem Set 3 Out: March 15 Due: April 7 1. A manufacturer of paper products wants to compare the variation in daily production levels at two paper mills. Independent random samples of days are selected from each mill, and the production levels (in units) are recorded. The data

Researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic illness established two independent test groups. The first group consisted of 11people with the illness, and the second group consisted of 10 people with the illness. The first group received treatment 1and had a mean time

During a national debate on changes to health care, a cable news service performs an opinion poll of 620 small-business owners. It shows that 77% of small-business owners do not approve of the changes. Develop a 95% confidence interval for the proportion opposing health care changes. (Round your answers to 4 decimal places.) Confidence interval

1 of 25 What is the term for a characteristic or attribute that can assume different values? 1.0 Points A.variable B.exponent C.datum D.sample 1.0 Points Question 2 of 25 If a menu has a choice of 4 appetizers, 4 main courses, and 3 desserts, then the sample space for all possible dinners has how many outcomes? A.48 B.16 C.28 D.3 Reset Selection

A railroad tunnel is shaped like a semiellipse, as shown below. The height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. Find an equation for the ellipse.

Assume the average selling price for houses in a certain county is $325,000 with a standard deviation of $40,000. A) Determine the coefficient of variation. B) Calculate the z-score for a house that sells for 310,000 (Need to see the work)

Question: You are trying to decide whether to take Stat 200 as an on-line or face-to-face class, but you don't know if you can stay awake through an in-class, 2-hour (120- minute) lecture. It is critical that you are able to since the instructor has said that all of the quiz and final exam questions will come from material from those lectures.

Assume the probability that you will make a sale on any given telephone call is 0.23 Find the probability that you(a) make your first sale on the fifthcall, (b) make your sale on thefirst, second, or thirdcall, and(c) do not make a sale on the first three calls.

Please answer and explain why? Thank you! Last year the average age of students attending Fisher College was 20.6 years . In order to meet the demands of older students, steps were taken that included adding evening and weekend classes. A sample of 80 students enrolled this semester was studied to see if the average age had increased. The average

A sample of 565 low-income and 680 high-income individuals was surveyed concerning their opinions on television violence. Among the low-income respondents, 400 believed that television violence is excessive, whereas 417 of the high-income respondents believed that television violence is excessive. What is the test statistic (z) for this hypothesis

For the following data, what is SS between treatments ? Treatments Subject I II III P-totals A 3 4 5 12 G = 27 B 1 1 4 6 X 2 = 109 C 2 1 6 9 T = 6 T = 6 T = 15 SS = 2 SS = 6 SS = 2 a. 6 b. 24 c. 18 d. 54

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Find the critical value for a right-tailed test with = 0.01 and n = 75

Inference for Relationships Checkpoint Question 1 Select one answer. 10 points A psychologist wants to study whether there is a difference in the effectiveness of two different talk therapy techniques (exposure therapy or cognitive behavioral therapy) on phobia symptom severity. The psychologist randomly assigns a large group of clients suffering

Given a population in which the probability of success is .25. if a sample of 200 items is taken. then complete parts a and b. a. Calculate the probability the proportion of successes in the sample will be between 0.22 and 0.30. b. Calculate the probability the proportion of successes in the sample will be between 0.22 and 0.30 if the sample size

3 (4%) (Due: Thursday, July 21, 2016) 1. The following data represent the annual sales (in millions of dollars) for a food-processing company for the years 1999 - 2015. YEAR SALES YEAR SALES 1999 2000 2001 2002 2003 2004 2005 2006 2007 53.2 53.3 51.6 49.0 38.6 37.3 43.8 41.7 38.3 2008 2009 2010 2011 2012 2013 2014 2015 36.4 38.4 42.6 34.8 28.4

ID V1 1000025 1002945 1015425 1016277 1017023 1017122 1018099 1018561 1033078 1033078 1035283 1036172 1041801 1043999 1044572 1047630 1048672 1049815 1050670 1050718 1054590 1054593 1056784 1057013 1059552 1065726 1066373 1066979 1067444 1070935 1070935 1071760 1072179 1074610 1075123 1079304 1080185 1081791 1084584 1091262 1096800 1099510 1100524

2 STAT 330: Mathematical Statistics Winter 2016 Assignment 2 Name: ID: Due on Feb 29th (Monday) 11:30am in drop boxes across the hall from MC 4065/4066. 1 1. [7 marks] Let f (x, y) = kxy 2 , if 0 x 2, 0 y 2 0, otherwise be the joint pdf of X and Y , where k is a positive constant. (a) Find k. (b) Find P (X Y ). (c) Find the marginal pdf of X and Y

18) Evaluate the determinant of the given matrix. 4 -2 5 5 2 0 2 0 4 92 52 41 5

A company has 140 employees, of which 30 are supervisors. Eighty of the employees are married, and 20% of the married employees are supervisors. If a company employee is randomly selected, what is the probability that the employee is married and a supervisor?

Below are technical terms that describe foundational concepts in research design: Epistemology (in research) Ontology (in research) Axiology (in research) Reliability Validity Internal validity External validity Statistical conclusion validity Content validity Construct validity Criterion (or criterion-related) validity Applied research Basic

A student takes a 6 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets exactly 4 questions correct?

What do we understand for a "population" in terms of statistics? What is a sample? Why do we need to sample populations?

Why is the critical region always to the right side in the use of the F test?

The Heartland Produce Company sells and delivers food produce to restaurants and catering services within 100 mile radius of its warehouse. The food supply business is competitiveand the ability to deliver orders promptly is a factor in getting new customers and keepingold ones. The manager of the company wants to be able to forecast the number of

Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with alpha = 2.8%. A random sample of 16 Australian bank stocks has a sample mean dividend yield of 8.91%. For the entire Australian stock market, the mean dividend yield is mu = 6.4%. If you wanted to test, at a .05

Suppose that you bought a stock 6 years ago at $12. The stock's price at the end of each year is shown here. Year 1 2 3 4 5 6 Price 10 14 15 22 30 25 a. Compute the rate of return for each year (to 3 decimals). Year 1 rate of return = Year 2 rate of return = Year 3 rate of return = Year 4 rate of return = Year 5 rate of return = Year 6 rate of

A psychologist is interested in knowing whether adults who were bullied as children differ from the general population in terms of their empathy for others. On a questionnaire designed to measure empathy, the mean score for the general population is 30.6. Random sampling of 25 scores obtained from individuals who were bullied yielded a mean of

X-7=square root 4x-7 Solve the equation. Don't forget to check your solution. Please show all steps to get answers please no attachments.

A manufacturer of computer chips has a computer hardware company as its largest customer. The computer hardware company requires all of its chips to meet specifications of 1.2 cm. The vice-president of manufacturing, concerned about a possible loss of sales, assigns his production manager the task of ensuring that chips are produced to meet the

A random variable X has Poisson distribution with mean 2. Then P ( x > 1.5 ) equals ( a ) 2/e 2 ( b ) 0 ( c ) 1 - 3/e 2 ( d )3/e 2

Miles (1000s) Price ($1000s) 90 7 59 7.5 66 6.6 87 7.2 90 7 106 5.4 94 6.4 57 7 138 5.1 87 7.2 \f

Fast n Clean operates 12 laundromats on the east side of the city. All of Fast n Cleans clothes dryers have a label stating 20 minutes for $1.00. You question the accuracy of the dryers clocks and decide to conduct an observational study. You randomly select 36 dryers in several different Fast n Clean locations, put $1.00 in each and time the

The binomial probability distribution is used with A.a continuous random variable B.a discrete random variable C.either a discrete or a continuous random variable, depending on the variance D.either a discrete or a continuous random variable, depending on the sample size

Problem 1 (10 points) Shown below is a histogram representing the income of the employees of a local fortune 500 company. Variable N Mean Median TrMean StDev Annual S 1000 101165 68734 88756 104296 Variable Minimum Maximum Q1 Q3 Annual S 55 812679 29194 141138 A representative of this company then released the following statement: It is a great

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