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Mathematics Questions and Answers March 10, 2023

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The marginal cost function for a company is given by C'(q)=q^2-10q+30 dollars per box, where q is the number of boxes manufactured. If C(0)=25, find the total cost of manufacturing 10 boxes.

In a study to determine the relationship between two variables, a coefficient of correlation of -0.90 was obtained. This indicates: Select one: a. Thecomputations are wrong since coefficient of correlation cannot be negative.b. There is a fairly low relationship between the two variables.c. The coefficient of determination is the square root of

The manufacturer of a gasoline additive claims that the use of this additive increases gasoline mileage. A random sample of 6 cars was selected, and these cars were driven for oneweek without the gasoline additive and then for one week with the additive. Thefollowing table gives the mileage (in miles per gallon) for these cars with and without

PLEASE ONLY ANSWER IF YOU CAN ANSWER WITHIN 2 HOURS AND IN YOUR OWN WORDS - NO PLAGIARIZING. Discuss and compare the the specialized and statistical functions in Excel. You may need to research your answer. Under what circumstances would you use logical and lookup functions? What financial and statistical functions exist for use? Give examples of

Plot in Excel the probability mass function (density) for the following: A) Binomial random variable X with n = 10, p = 0.3 B)Binomial random variable Y with n = 100, p = 0.4 C) Uniform random variable X with n = 50 Attach the clearly labeled graphs. Thank you.

1. The manager of a paint supply store wants to estimate the actual amount of paint contained in 11-gallon cans purchased from a nationally known manufacturer. Themanufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.03 gallon. A random sample of 50 cans is selected, and the sample mean amount of

A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recentstudy. A sample of 66 women over the age of 50 used the new cream for 6 months. Of those 66women, 32 of them reported skin improvement(as judged by a dermatologist). Is this evidence thatthe cream will improve the skin of more than 40% of women over the

Use a graphing calculator to find the intervals on which the function is increasing or decreasing. Consider the entire set of real numbers if no domain is given. f(x)= 17x over x^2+1 Determine the interval(s) on which the function is increasing. Select the correct choice below and fill in any answer boxes in your choice. a). The function is

Find the area under the function f (x) = 2x^2 + 6x + 5 on the interval [1, 4] by taking the limit of Riemann sums based on equal-length intervals and using right endpoints. Sketch the rectangles whose area is being calculated in the sums. (The main item to explain is how you get the small intervals.)

VIDEO TRANSCRIPT Interpret and Communicate Data Analysis Results ID: 02-VIDEO-538cb508dd7d03bc8b9c101c This video discusses how to interpret data analysis results to reach conclusions. The video addresses the following: how this applies to you, how data is utilized in the workplace for making more informed decisions, and why this information is

In a pulse rate research, a simple random sample of 40 women results in a mean of 80 beats per minute, and a standard deviation of 11.3 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of women have a standard deviation greater than 10 beats per minutes. Use a 0.05 significance level to test the

Using the scatter plot and line of best fit below, interpolate the average number of hours slept when 3 hours are spent watching TV. a) 6 hours b) 8 hours c) 5 hours d) 4 hours

In 1995, 70% of all children in the U.S. were living with both parents. If 25 children were selected at random in the U.S., what is the probability that at most 10 of them will be living with both of their parents? Round your answer to 4 decimal places. To answer the question input only the actual number . Do not include units. Do not give your

No. x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 y 0.30196 d hit? 0.74856 0.807169 1.105782 1.094362 0.731416 1.164526 1.242868 0.530791 0.475043

Confidence Interval Calculator Confidence interval for a population mean, Sigma known If the population standard deviation is known, we can directly calculate the standard deviation of the sampling distribution (the standard error of the estimate) and use the standardized normal distribution to get a Z-multiple, using the Excel function NORMSINV.

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In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is: A. 21 46 B. 25 117 C. 1 50 D. 3 25

The sum of the first three terms of a geometric sequence is equal to 42. The sum of the squares of the same terms is equal to 1092. Find the three terms of the sequence.

suppose that in a 30 day month of the year 6 days are cloudy, 18 days are windy and 3 days both cloudy and windy. what is the probability that a day is either cloudy or windy?

Let z = 4 + 3i and let w = 4 - 3i. Find the sum z + w and the product zw. Express your answer in the standard form a + bi. sum: 8 + 0i; product: 25 + 0i sum: 8 + 6i; product: 25 + 0i sum: 8 + 0i; product: 7 + 0i sum: 8 + 6i; product: 7 + 0i

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With achi-square test statistic of 13.12 and an = 0.025 determine the chi-square critical value

The American Association of Individual Investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for the next six months. For the week ending November 7, 2012 the survey results showed 38.5% bullish, 21.6% neutral, and 39.9% bearish (AAIIwebsite, November 12, 2012). Assume

Time Location 1.48 1 1.75 1 0.78 1 2.85 1 0.52 1 1.60 1 4.15 1 3.97 1 1.48 1 3.10 1 1.02 1 0.53 1 0.93 1 1.60 1 0.80 1 1.05 1 6.32 1 3.93 1 5.45 1 0.97 1 7.55 2 3.75 2 0.10 2 1.10 2 0.60 2 0.52 2 3.30 2 2.10 2 0.58 2 4.02 2 3.75 2 0.65 2 1.92 2 0.60 2 1.53 2 4.23 2 0.08 2 1.48 2 1.65 2 0.72 2

Twenty-five blood samples were selected by taking every seventh blood sample from racks holding 187 blood samples from the morning draw at a medical center. The white blood count (WBC) was measured using a Coulter Counter Model S. The mean WBC was 8.636 with a standard deviation of 3.9265. ) Construct a 90 percent confidence interval for the true

Let f be a real valued function on R. Suppose that f has a finite derivative for every x [a, b], and that f ' is integrable over [a, b]. Prove that x f ( x ) f (a ) f ' for all x [a, b]. a Note that the integration and differentiation done is Lebesgue integration and measure theory Real Analysis , Royden \f\f

#6 A group of researchers from a medical firm are trying to understand the proportion of American adults who are allergic to a medication. In a random sample of 100 adults, 15 people say they have such an allergy. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level)

1.Determine whether the statement is true or false.The hypothesis statement H00:muequals=90 is an example of aone-tail hypothesis test. TrueFalse 2.The nullhypothesis, denoted by H00, represents the status quo and involves stating the belief that the population parameter is,less than or equals,equals=, orgreater than or equalsa specific value.

A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 0 1 2 3 Households 27 446 726 1403 (a) Use the frequency distribution to construct a probability distribution. x P(x) 0 1 2 3 (Round to three decimal places as needed.)

Job Title Morticians, Undertakers, and Funeral Directors Plumbers, Pipefitters, and Steamfitters First-Line Supervisors of Landscaping, Lawn Service, and Groundskeeping Workers Patternmakers, Metal and Plastic Conveyor Operators and Tenders Child, Family, and School Social Workers Firefighters Reinforcing Iron and Rebar Workers Communications

What is the equation for finding a confidence interval for the mean in a large sample?

A team of health sciences students decided on a project that would give them experience with their statistical analysis skills as well as some practice in taking vital signs. They assembled a group of 40 undergraduate students, 20 science majors and 20 majors in other fields of study, brought them to a makeshift clinic in the science building and

Complete the following statement.The_______ measures the variation in the dependent variable that is explained by the set of independent variables in multiple regression. A. sum of squares regression B. sum of squares within C. sum of squares error D. total sum of squares

The Mountain States Surgery Center in Denver, Colorado, performs many knee replacement surgery procedures each year. Recently, research physicians at Mountain States have developed a surgery process they believe will reduce the average patient recovery time. The hospital board will not recommend the new procedure unless there is substantial

1) What percentage of the values in a normal distribution will be a) Between the mean and a point 1.75 standard deviation to the left of the mean? b) Below 2.33 standard deviation to the left of the mean? c) In an interval that starts 1.0 standard deviation to the left of the mean and extends to 2.0 standard deviations to the right of the mean? d)

Player In a hypothesis test to determine if there is an association between two categorical variables, what can be said about the null hypothesis?Choose the correct answer below. A. The null hypothesis changes depending on the context of the problem. B. The null hypothesis always contains an equals sign. C. The null hypothesis always states that

1. Find an equation of the line tangent to the graph of G(x)= 6e -7x at the point (0,6) 2. Find the slope of the tangent line to the cure f(x)= e x at (1.1 , 3) 3. Differentiate: y= xe -8x + e -x + x 8 4. y= e x + 6 (the square root of e x + 6 ) 5. Find f '(x): f(x) = e x-6 (e to the square root of x-6) 6. Differentiate: f(x) = e x^4 + 3x 7. Find

What is the derivative of f(x) = e x ln(x) ? find the derivative

Given the following waiting time distribution in a hotel, compute the expected value of the waiting time in 2 dec pl. Waiting time (minutes) Probability 4.0 20% 4.5 28% 5.0 32% 5.5 10% 6.0 10%

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Which of the following is an assumption of the regression model? Select one: a. The errors are not normally distributed.b. The errors have an irregular variance.c. The errors are independent.d. The errors have a standard deviation of zero.e. The errors follow a cone pattern.

The 2006 General Social Survey contains information on the number of hours worked by a respondent each week. The mean number of hours worked per week is 39.04, with a standard deviation of 11.51. The sample size is 83 Using this data, provide a hypothetical numerical example which demonstrates that the precision of a confidence interval is in part

Good Morning, I have two replys to some of my classmates that needs to be 200 words or more each on there presentation that you have done for me last night. Below Ill post them both thanks . Scott, Within my hypothesis, my independent variable of being married or not is a nominal variable. By definition, a nominal variable is one that has two or

Consider the following discrete probability distribution. x 15 22 34 40 P(X=x) 0.20 0.43 0.22 0.15

Do the health benefits of alcohol consumption depend on the type of alcohol and the amount consumed? The Harvard School of Public Health reviewed studies investigating the relation between alcohol consumption and health. One study investigated whether different types of alcoholic beverage lead to different health outcomes. Based on self-report

Hi, I have a timed assignment today that I would like your help with. Can I hire you today before 7 pacific standard time for 90 minutes to answer 20 questions.I just need the answers. There will be 20 questions with a 90 minute time limit. I will pay you top dollar for correct answers and completion in the 90 minutes allowed. Please let me know

Given a rational expression, can you simplify it by canceling common terms or by canceling common factors? Explain your answer.

Scores of an iq test have a bell shaped distribution with a mean of 100 and a standard deviation of 16. Use the empirical rule to determine the following. (A) What percentage of people has an IQ score between 84 and 116? (B) What percentage of people has an IQ less than 68 or greater than 132? (C) What percentage of people has an IQ score greater

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In how many ways can 8 graduates line up to receive their diplomas?

four people are sitting on a couch. 2 are wearing red shirts, 1 is wearing a blue shirt, and1 is wearing a green shirt. What is the probability of a person with a red shirt being the next one to get up and walk out the door? Need equation and calculationsfor this one

Determine whether the given equation determines y as a function of x. If it does, find the domain of the function. 2x + 3y = 6 domain: all real numbers domain: domain: x > 3 y is not a function of x

RSCH 665 A5.3 Name: Date: Q1. Background Method - (justify type of t-Test used) - (justify type of test) [directional/non-directional] - (identify alpha level used to test the null hypothesis) Results - Report descriptive statistics (discuss high points of statistical outcomes) - Assess normality assumption (discuss distributional symmetry) -

1.0 Points Question 1 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a"

Mario the marriage celebrant is interested in investigating the average age at which people who attended university get married. A sample of 45 married couples who attended university have been randomly selected and the age at which they married was recorded. The sample mean age of marriage was calculated as 28 years old. It is known that the

Do you have an answer for this question : The food and drug administration (FDA) approves 20% of drugs submitted for its approval. In a random sample of 15 drugs submitted for the FDA's approval. Find the probability that the number of drugs that are approved is at most three. What is the mean and the standard deviation of the number of drugs

The average hemoglobin reading for a sample of 20 nurses was 16 grams per 100 mL, with a sample standard deviation of 2 g. Assume the hemoglobin readings are approximately normally distributed.Suppose we desire a 98% confidence interval for the true mean hemoglobin reading for nurses. The most appropriate reason among the following for using using

29. At a local fast-food joint with a single drive-thru window, cars arrive randomly at a rate of 5 every 15 minutes. The fast food joint takes an average of 3 minutes to serve each arrival. What is the utilization factor for this system? Select one: a. 0.75 b. 1.00 c. 0.50 d. 0.80 e. 0.30

Let X be the amount of time (in hours) the wait is to get a table at a restaurant. Suppose the cdf is represented by: this is in a piece-wise function format F(x) = { 0 x < 0 } { (1/36)*x^2 0 x and x 6 } { 1 6 < x } Use the cdf to determine P(X 3 2 ).

Assume you are working at the Consumer Protection Agency. Recently, you have been getting complaints about the highway gas mileage of a new minivan. The car company agrees to allow you to select randomly 40 of its new minivans to test their highway mileage. The company claims that its minivans get 28 miles per gallon on the highway. Your results

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PLEASE SHOW WORK SO I UNDERSTAND The following data displays the number of games won by the Pittsburgh Steelers for the seasons from 2000-2009. We are interested in seeing if their football team has been consistent with its winning percentages. Season Number of Games Played Number of Games Won 2000-2001 16 9 2001-2002 18 14 2002-2003 18 11

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17. Garlic for Reducing Cholesterol In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.4 and a standard deviation of 21.0 (based

Question: Car Class Displacement Fuel Type Hwy MPG 1 Compact 3.1 P 25 2 Compact 3.1 P 25 3 Compact 3 P 25 4 Compact 3 P 25 5 Compact 3 P 25 6 Compact 3 P 25 7 Compact 2.4 P 25 8 Compact 3.5 P 25 9 Compact 3 P 25 10 Compact 2.4 P 24 11 Compact 2.8 P 24 12 Compact 2.5 P 24 13 Compact 3 P 24 14 Compact 2.5 P 24 15 Compact 2.4 R 24 16 Compact 5.3 P 24

1.Let G be a simple graph with (G) 3. 2.Show that if G is a simple graph with Prove that (G) |V(G) | 2 k'(G) k(G) then k(G) (G) 3. Let G be a 2-connected graph so and e an edge in G. Prove that G - e is 2connected if and only if the endpoints of e lie in a cycle in G - e. 4. Let 1 and 2 be distinct colors of a k- coloring of G. Call an edge e a 12

Part 2: In response to media reports of violence on college campuses, a psychologist who works at a local community college decides to study students perceptions of campus safety. He hopes to use these results to help develop an on-campus violence prevention program. The administration has asked him additionally to look at whether perceptions of

NETWORK MODELS A network consists of arcs and nodes. Arcs may be directed or undirected. A tree is a network without loops. A spanning tree is a tree connecting all nodes. Oliver Yu 2015 Network1 THE MINIMAL SPANNING TREE PROBLEM Minimal spanning tree: the spanning tree with the smallest sum of the branch lengths. Solution Algorithm: Start with

1. Element X has a half-life of 7 days. If we currently have a 24 ounce sample of Element X, how long will it be until only 6 ounces remain? ROUND YOUR ANSWER TO 2 DECIMAL PLACES. After about _________ days, only 6 ounces will remain.

Speeding on the I-5, Part I: The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) What percent of passenger vehicles travel slower than 80 miles/hour? %(please round to two decimal places) (b) What

solve the system of equations by the substitution method y=3x+1 3y-4x=14 the solution is?

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The Excel command "=8*rand()" can be assumed to produce a random real number between 0 and 8 (Try it a few times!). Call the random number generated this wayY. ThenYcan be thought of as a continuous random variable whose density is uniform on the interval [0,8]. a) What is the height of the density curve for ? (Give all answers to three decimal

The number of bacteria in milk grows at a rate of 10% per day once the milk has been bottled. When the milk is put in the bottles, it has an average bacteria count of 500 million (5x10 8 ) per bottle. a. Write an equation for f(t) the number of bacteria t in days after the milk is bottled. b. Suppose milk cannot be safely consumed if the bacteria

What is the findings and conclusion of X-Opoly Inc. Case study? what is the recommendation? what is the issue of the case?

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I want the answer for this question to be done by the excel file formulas: Joseph King has ambitions to be mayor of Williston, North Dakota. Joe has determined the breakdown of the steps to the nomination and has estimated normal and crash costs and times for the campaign as follows (times are in weeks). Normal Crash Immediate Activity Time Cost

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Tarea 6.2 (30 puntos) Instrucciones: Realiza los ejercicios asignados para esta actividad. Debes presentar los procesos necesarios para sustentar la respuesta de los ejercicios. (5 pts. c/u) 1) Usa la tabla A-1 para detrminar la distribucin binomial para: a) n=2, x=2 p=0.40 b) n=5, x=4 p=0.99 c) n=7, x=1 p=0.50 2) Usa la formula de distribucin

Assume that the selling price of a particular item (callit I1) is normally distributed, with mean 200 gold coins,and standard deviation 50 coins. Assume the selling priceof another item is also normally distributed, with mean230 gold coins, and standard deviation 10 gold coins (callit I2). Assume these distributions are independent.(a) Find the

A survey determines that in a particular town, 33% of the residents jog, 42% bike, and 12% do both activities. The probability that a randomly selected person does neither activity is

Player If we reject the null hypothesis, can we claim to have proved that the null hypothesis is false? Why or why not?Choose the correct answer below. A. Yes, if the test conditions are satisfied and the p-value is smaller than the significance level, then the null hypothesis is proven to be false. B. Not necessarily, if the test conditions are

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solve the system of equations by the substitution method x+8y=20 3x+6y=6

Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation of 0.20 hours. For a patient selected at random: (a) What is the probability that the drug will be effective for 2 hours or less? (b) What is the probability

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A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the nationalmeanscore for the writing section was50.2. Based on this information, complete the following statements about thedistributionof the scores on the writing section for the recent year. (a) According to

An aquarium 5ft long, 2ft wide and 3ft deep is full of water. a. find the hydrostatic pressure on the bottom of the tank. b. find the hydrostatic force at the bottom of the tank. c. find the hydrostatic force on one end of the aquarium.

Dong Lee Math-138 Professor Deshpande 10-16-16 Project Part 2 Research Proposal: Introduction: The first variables I plan to study are the hours you spend on the smartphone daily and the monthly phone bill you get. The second variable I plan to study are the mileage of the car and number of visit to auto repair shop. The quantitative variables I

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Solve the equation by completing the square. 4x squared2 +12x=7 please show all steps to find answer

Information about girls' ice skates: Colors: white, beige, pink, yellow, blue Sizes: 4, 5, 6, ,7, 8 Extras: tassels, striped laces, bells

1: The region in the first octant bounded by the coordinate planes x+ z =1, y +2 z=2 Set up and evaluate six different triple integrals, each equivalent to the given problem. Problem 2: 2 2 Find the volume of the solid enclosed by the cone z= x + y and between the planes z=1 z=2 . Set up and evaluate the triple integral.

A travel website would like to test if the standard deviation for roundtrip airfares between City A and City B is less than$200. Which of the following is the correct hypothesisstatement? A. H00:sigmasquared2greater than or equals40,000H11:sigmasquared2less than <40,000 B. H00:sigmasquared2equals=200H11:sigmasquared2not equals200 C.

8 - STAT 3360 - FALL 2015 DUE BY NOVEMBER 3 SECTION [CIRCLE ONE! =>] FIRST NAME 001 002 LAST NAME 501 INFERENCES ABOUT THE POPULATION PLEASE, READ SECTIONS 10.2, 11.2, AND 12.1 - 12.2 TO SUCCEED ON THIS HOMEWORK AND ON THE FINAL EXAM. TABLES 4 AND 5 AND CLASS NOTES ARE REQUIRED. 1. [30 POINTS = 5 + 10 + 5 + 10] A SAMPLE OF 25 EMPLOYEES WAS DRAWN

0.1 #6 Section 0.3 #20 Section 0.4 #8 Section 0.5 #20 Determine whether each statement is true or false. If the statement is false, give a counterexample

Considering combination rule of counting outcome, value of 5! Is

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