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Mathematics Questions and Answers April 25, 2023

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Need help with these 3 problems, please 79. A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the United States. Two surveys are conducted. Of the 35 two-year colleges surveyed, the mean enrollment was 5,068 with a standard deviation of 4,777. Of the 35 four-year colleges
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The question is attached as screenshots. The question is attached as screenshots. (5 points) The Ricci V. DeStefano case in New Haven, CT (129 S. Ct. 2659, Sup. Court, 2009), involved a claim of "reverse" discrimination. Firefighters in the city took examinations to progress through the ranks. One test was for promotion to lieutenant, and at the
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I need an answer and solution smartermarks.com C O SmarterMarks :: Sittingstudents Written Response Use the following information to answer the next question Samuel invests $5000 with a bank and a 6.0% yearly growth rate. 17. a) Write an exponential function that could be used to model the value of the investment, v(t), aftertyears since the
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1. True or False. Justify for full credit. (15 pts) (a) If the variance of a data set is zero, then all the observations in this data set are zero. (b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.9. (c) Assume X follows a continuous distribution which is symmetric about 0. If , then . (d) A 95% confidence interval is

In the TV series Big Bang, Sheldon is trying to make friends. He asks a potential friend, would you like to share a meal together? Maybe we share a common interest? Tell me an interest of yours. They go through a list of activities until finally Sheldon finds one they could do together. This is which relationship stage? Group of answer choices

How do you know when to perform a left-tailed test in a hypothesis-testing situation versus a right-tailed or two-tailed test?

Based on survey results, the mean amount of credit card debt for U.S. adults under 35 is $8,724. This point estimate would be unbiased and most accurate if the survey were based on which of the following? A national television news station poll with 3,500 responsesA random sample of 2,800 U.S. adults under 35A random sample of 3,000 U.S. college

A wagon can hold 44 pounds. A newspaper weighs 22 ounces. How many newspapers can the wagon hold? a 18 newspapers b 32 newspapers c 36 newspapers d 40 newspapers

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Evaluate the fabric wrinkle resistance using the following scale High-Heavily wrinkled Silk dupioni, yarn dyed

Page 1 of 2 Students, please view the "Submit a Clickable Rubric Assignment" in the Student Center. Instructors, training on how to grade is within the Instructor Center. Case Study 1: Statistical Thinking in Health Care Due Week 4 and worth 150 points Read the following case study. Ben Davis had just completed an intensive course in Statistical

please write legibly and provide a step-by-step procedure and obtain a solution for the differential equation, y 3 dx+(xy 2 -2x 3 )dy=0.

Let yequalsf(x) be the function sketched on the right. Use this graph to sketch the graph of yequalsf(xminus2). Determine the four points on the new graph. Question content area bottom left Part 1 The point (negative 6,0) shifts to which point on the new graph? enter your response here (Type an ordered pair.) . . . Question content area right Part

Summer 16 PSYB07 Assignment Professor Isaiah was interested in investigating if students' test scores differ based on the time of day his lectures were being held. He selected a sample of 15 students from his morning (n = 7) and evening (n = 8) Psychology classes and recorded their midterm and final exam scores as shown below. 1. He was interested

The Chartered Financial Analyst (CFA) Institute reported that 49% of its U.S. members indicate that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry. (Source: Global Market Sentiment Survey 2014, cfa.is/Psk5O3.) Suppose that you select a sample of 100 CFA members. a. What is the

The chances of a tax return being audited are about 14 in 1,000 if an income is less than$100,000 and 38 in 1,000 if an income is$100,000 or more. Complete parts a through e . a. What is the probability that a taxpayer with income less than$100,000 will beaudited? With income of$100,000 ormore? Upper P left parenthesis taxpayer with income less

Let A be a nonempty subset of R bounded from above, and let x0 be an upper bound of A. Showthatx0 isequaltosupAifandonlyifforeach?>0thereisanelementx?A such that x0 ? x 4. Let A be a nonempty subset of R bounded from above, and let To be an upper bound of A. Show that co is equal to sup A if and only if for each e > 0 there is an element x E A
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4. List and explain at least three potential security risks and recommendations when using e- passport for international travels? (10 points)
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Apartments Rent 950 1600 1200 1500 950 1700 1650 935 875 1150 1400 1650 2300 1800 1400 1450 1100 1700 1200 1150 1600 1650 1200 800 1750 Size 850 1450 1085 1232 718 1485 1136 726 700 956 1100 1285 1985 1369 1175 1225 1245 1259 1150 896 1361 1040 755 1000 1200 Page 1

A researcher is interested in testing the claim that more than 75% of the adults believe in global warming. She conducted a survey on a random sample of 500 adults. The survey showed that 400 adults in the sample believe in global warming. Assume the researcher wants to use a 0.05 significance level to test the claim. Identify the null hypothesis

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther. Suppose a small group of 14 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with = 0.40 gram.

content area top Part 1 Starting with an initial value of P(0)equals 10, the population of a prairie dog community grows at a rate of Pprime (t)equals30minusStartFraction t Over 2 EndFraction (in units of prairie dogs/month), for 0less than or equals tless than or equals60 . a. What is the population 15 months later? b. Find the population P(t)

Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. IfColonials games are chosen at random, what is the probability that exactlyof those games are won by the Colonials? Round your response to at least three decimal places.

Calculus Writing Assignment: Volume of Solids Using Cross Sections Each problem is worth 5 points. Total Points: 75 Answer each of the problems. Make sure to show all your work. In Problems 1-5, let R be the region bounded by y = x 2 + 3, y = 2x, x = 0, and x = 4. Each problem will describe the cross sections of a solid that are perpendicular to

150 / 2 ptsWhich of the following describes the location of the capital city at the heart of the core ofMexico? It is on a riverIt is a great portIt is in the tierra f

Which of the terms describe this DE? (Select ALL that apply) y''-3y'+7y=ln(x),y(1)=0,y'(1)=5 A. Linear B. Initial value C. Constant coefficients D. Homogeneous E. Boundary value

One of the following metatheoretical claims is true, and the other one is false. Determine which is which and provide a counterexample to the false claim. Please indicate your answer: (a) Given any sentences s, t, and u of LSL, if (s v t) |= u, then s |= u or t |= u. (b) Given any sentences s, t, and u of LSL, if (s

A sampling distribution is constructed based on a sample size of 9.If the sampling distribution has a mean of 500 and a standard error of 15,what is the standard deviation of the original comparison population?

ul Verizon LTE E mathxl.com C Homework: Section 7-3 HW Score: 0 of 5 pts 4 7 of8 {5 complete) 7 } HW Score: 42.42%. 14 of 33 pts 47-3-33 Question Help '5 The random sample shown below was selected from a normal distribution. 19.7.5.7,1Q. Complete parts a and b. a. Construct a 90% condence interval for the population mean I}. (3.73 . 3.27) (Round

A random variable follows the continuous uniform distribution between 55 and 8 0 . Calculate the following quantities for the distribution. a) P(x>64) b) P(x>65) c) P(x>75) d) P(x=66) e)What are the mean and standard deviation of thisdistribution? a) P(x>64)=_____ ? (Type an integer or decimal rounded to three decimal places asneeded.) b)

I just uploaded coursework documents to get unlocks, when do I get my unlocks?

4 1. Find the indicated probability by using the special addition rule. The age distribution of students at a community college is given below. Age (years) Number of students (f) A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal

If x is a binomial randomvariable, use the binomial probability table to find the probabilities below. a. P(x=4)forn=10,p=0.2 b. P(x5)forn=15,p=0.5 c. P(x>1)forn=5,p=0.3 d. P(x <10)forn=25,p=0.7 e. P(x14)forn=20,p=0.9 f. P(x=4)forn=20,p=0.1 (Round to three decimal places asneeded.)

ers se and Determinants What is A-17 9 -2 -24 Enter your answer by filling in the boxes. Enter any fractions as simplified fraction here to search
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The management of Lorimar Watch Company has determined that the daily marginal revenue function associated with producing and selling their travel clocks is given by R ' ( x ) =-0.002 x +11 where x denotes the number of units produced and sold and R ' ( x ) is measured in dollars/unit. (a) Determine the revenue function R ( x ) associated with
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Screenshot 2023-09-... Q Search .. . Screenshot 2023-09-28 at 12... Screenshot 2023-09-28 at 1.04.19 AM Screenshot 2023-09-28 at 12.59.03 AM Your Answer Correct Answer * Your answer is incorrect. Find the limit lim (2 - h) 2 - 4 h-0 h Find the limit: lim (1+ x)3 - 8 X-0 X O Does Not Exist O Does not exist. O - 0o O OO 0 4 Solution Solution Since x
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Homework: Math 111 - Section 11.3 Points: 0 of 1 A pet store has 13 puppies, including 5 poodles, 5 terriers, and 3 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle. The probability is (Type an integer or a
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sion in 5 years. You have decided to start a sinking fund to | | You are the vice president of finance for a manufacturer of scuba diving gear. The company is planning a major plant expan ed that $3,000,000 in today's dollars will be required; | accumulate the funds necessary for the project. Your company's investments yleld 12% compounded
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Which of the following statements is true? Answers A. Any number raised to the zero power equals zero. B. Any number raised to a negative power equals a negative number. C. When raising a power to a power, the exponents are added together. D. The product of two powers with the same base equals the base raised to the sum of the exponents

Let x be the number of days per year that the level of air pollution exceeds the standard in a certain city. The probability distribution of x is given by: Find the probability that the standard isexceededon at leastone day. x 0, 1,2,2, 3 p(x) 0.33, 0.38, 0.19, 0.06, 0.04

A new variety of apples has been developed to be bigger than the typical apples, which average 8 oz in weight.The critical Z value for a hypothesis test is 1.96 and the standard error is 2 oz.What is the minimum weight (in oz) of the sample of new apples to yield a significant test result?

Determine the osmolarity of the above TPN that you calculated. Use slide # 16 from lecture to guide your answer. Report your answer in mOsm/L of PN. 1. AA (g/L per liter of PN ____ g x 10 = _____m Osm 2. Dextrose (g) per liter of PN ___ g x 5 = _____m Osm 3. Lipid (g) per liter of PN ___g x 0.67 = _____m Osm Assume your micronutrients are: 55 mEq

You have trimmed a whole fillet of beef into 200g steaks. From the whole fillet you have 7 steaks, 200g of sinews and 100g of meat trimmings. What is the % yield of steaks from the whole fillet

Assume that a demand equation is given by q = 9000 - 100 p q=9000100p. Find the marginal revenue for the given production levels(values ofq). a. 1000 b. 4500 c. 7000 If you can show me the steps Thak you

Explain what is meant by the least squares regression line. Does the least squares line always represent a statistically significant relationship between the two variables? Why or why not?

Fill in missing number: 2,188 _________blank = 750

The Sales - Superstore dataset contains detailed information about your company's sales. Your manager, Sylvia, has made a decision to cut the three worst performing sub-categories in their region in terms of Sales. To do this, she has asked you to create one data visualization that will identify which three sub-categories are the worst performers

MATH 1325 CALCULUS FOR BUSINESS AND SOCIAL SCIENCES Lab 3 - Applications of the Derivative NAME__________________________ Instructions: Please show all work, and write your solutions to the problems neatly on this handout. Draw box around your final answer. If you need help, please feel free to consult with me or go to the Math Lab and ask for

Mediante un ejercicio de reflexin a partir de la metodologa ABP. El propsito de esta metodologa es brindar la oportunidad de adquirir un entendimiento generalizado de un problema que pueden encontrar en su desempeo profesional, y de contribuir a desarrollar habilidades y destrezas para su solucin, de una forma sistemtica, que conduzca a soluciones

How Many People to Survey? Poll results are prevalent in the media, especially leading up to elections, as are reports on surveys done by universities and research groups. The survey results of small groups of people are used to portray a general consensus about a population. Do you ever wonder how many people should be included in a survey to

The city is considering a raise in taxi rates. Currently taxi companies charge a $7.50 flat fee and $1.10 per mile. A)Using y=mx+b, what is the linear model for the taxi charges? B)If you are driven 20 miles, what is the amount you owe the taxi cab driver?

WRITE THE ANSWERS IN A SENTENCE FORMAT WHICH ANSWERS THE GIVEN QUESTION 1.Find the following critical numbers: a.80% confidence interval for n = 23 b.98% confidence interval for n = 15 c.95% confidence interval for n = 45 d.90% confidence interval for n = 8 2.A company manufactures ball bearings for use in gyroscopes.The specifications for proper

ul Verizon LTE mathxl.com C TAT 2070-500 Fall 2017 'oggle navigation . Laura Phillips 0 | - 11/4/171159 PM Homework: Section 7-3 HW Bears: 0 of 5 pts 4 6 0f 8 (4 complete) V ) HW Score: 30.3%. 10 of 33 pts 7.3.24 3 Question Help g A physician wants to develop criteria for determining whether a patient's pulse rate is atypical. and she wants to

Electronic Passport Security (30 points) 3. Why is e-passport demanded? What information is stored in e-passport and how is it secured? How can the stored information be read, write, and/or modified? What is the difference of the information and its storage between e-passport and passport card
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Question LongLife, LLC manufactures rechargeable batteries for the personal and recreational drone industry. The company signed a contract with Best Buy electronics to produce three different lithium-ion battery packs for a new line of retail drones. The contract calls for producing three types of battery packs. LongLife agreed to supply 200,000
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A website reported that 33 % of drivers 18 and older admitted to texting while driving in 2009. In a random sample of 800 drivers 18 years and older drawn in2010, 204 of the drivers said they texted while driving. a. Construct a 95 % confidence interval to estimate the actual proportion of people who texted while driving in 2010. b. What is the

1. Professional Athlete Salaries. From the Statistical Abstract of the United States and the article \"Average Salaries in the NBA, NFL, MLB and NHL\" by J. Dorish, published on the Yahoo! Contributor Network, we obtained the following data on average professional athletes' salaries for the years 2005 and 2011. Identify the type of statistics A US

A marketing research company desires to know the mean consumption of milk per week among males over age 22 . They believe that the milk consumption has a mean of 4 liters, and want to construct a 80% confidence interval with a maximum error of 0.09 liters. Assuming a variance of 0.49 liters, what is the minimum number of males over age 22 they

An article reported on the proportion of fouls called during a championship basketball series that were disputed by the players. The article indicated that players on team A disputed 63 of 125 fouls called on them during the first five games. The other team, team B, disputed 43 of 113 fouls called against them during these same games. A.What is

A man makes a simple discount note with a face value of $2,400, a term of 1 2 0 days, and a 9 % discount rate. Find the discount. (Use the banker's rule.) The discount is $ (Round to the nearest dollar asneeded.)

(Use Excel) A consumer advocate researches the length of life between two brands of refrigerators, Brand A and Brand B. He collects data on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data are measured in years. UseTable 1. Brand A Brand B Brand A Brand B Brand A 15 25 18 19 24 23 18 13 12 15 24 17 16

Angela and Jake both went to the store to buy snacks (chips and soda) for a party. Angela bought four 2-liters of soda and three bags of chips and paid a total of $18. Jake paid $20 (before tax) and bought four 2-liters and 4 bags of chips. Note: Assume that they each paid the same price per item.Write a formula to represent the statement "Angela

What is the test error of the decision tree model that the code built? Is it high or low
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Determine the points, if any, at which the graph of f intersects the horizontal or oblique asymptote, if one exists f(x)=x+16/x

1)Use the Laplace transform to solve the following initial value problem: y4y21y=(t5) y(0)=0,y(0)=0 Use step(t-c) for u c (t). y(t)=? 2) Use the Laplace transform to solve the following initial value problem: y+9y=8(t4) y(0)=0, y(0)=0 Use step(t-c) for uc(t) . y(t)=? 3) Use the Laplace transform to solve the following initial value problem:

Convert fraction to decimal (or mixed decimals and round to nearest thousandth): 1/7

An investor who can correctly forecast the direction and size of changes in foreign currency exchange rates is able to reap huge profits in the international currency markets. A knowledgeable reader of Wall Street Journal can determine the direction of change in various exchange rates that is predicted by all investors, viewed collectively.

Esther's Hypotheses 1. There are stark differences between male and female customers and operators. a. We have identified most of the difference between male and female operators (Thanks Juan). However, any time we provide any means or differences between groups, we need to ensure that we also provide SE, T-stat, confidence interval (optional) and

The average weight of 25 young males is 185 lbs. This sample is compared to the general population of males in the same age range. The general population mean is 180 lbs and the standard deviation is 20 lbs. What is the Z statistic for thissample?

A department of education reported that in2007, 66 % of students enrolled in college or a trade school within 12 months of graduating from high school. In2013, a random sample of 320 individuals who graduated from high school 12 months prior was selected. From thissample, 196 students were found to be enrolled in college or a trade school. a.

In the least squares regression line, y^'=3-2xthe predicted value ofyequals:

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Use MS Word to complete "Questions to be Graded: Exercises 31 and 32" in Statistics for Nursing Research: A Workbook for Evidence-Based Practice . Submit your work in SPSS by copying the output and pasting into the Word document. In addition to the SPSS output, please include explanations of the results where appropriate.

Discuss the difference between an observational study and an experiment. Explain which is best used for establishing cause/effect relationships and why.

A box contains 4 one-dollar bills and 3 five-dollar bills. You choose six bills at random and without replacement from the box. Let T6 be the amount you get. What is Var(T6)?

I am on a game show , it has 20 hidden prizes on a board with 100 spaces. One prize is worth $100.00, nine are worth $20.00, ten are worth $10.00. I have to pay $10.00 if my answer is incorrect , the random variable (x) = the money I will or lose. x P(x) -$10 $10 $20 $100 probability distribution ? What are my winnings or losses ?

Fedex and United Parcel Service (UPS) are the worlds two leading cargo carriers by volume and revenue. According to the Airports Council International, the Memphis International Airport (Fedex) and the Louisville International Airport (UPS) are two of the ten largest cargo airports in the world. The following random samples show the tons of cargo

(1) Find the domain of definition for each case below. Then determine whether the function f is holomorphic in its domain of definition, and finally find 0, f. (a) () = 2/(1+ 2) (b) 7(z) 22|z (c) f(re) = /r[cos(0/2) +isin(F/2)], r>0, 6 (m,m). (2) Suppose f(z) and g(z) are two holomorphic functions in the unit disk D = {z C : |z| 1. (So, f is C*
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" . e w1 1. If two transformations are done, but in reverse order, will the resulting images always be the same? The two transformations are a dilation followed by a translation vs a translation followed by a dilation. Use the sketch to justify your response (the translation vector is GH, the center of dilation is |, and use a scale factor of 2)
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2. [20 POINTS = 10 + 10] A SAMPLE OF 16 CAR POLICIES WAS DRAWN FOR THE ANALYSIS OF CAR PREMIUM DISTRIBUTION. ASSUME THAT AN INDIVIDUAL PREMIUM IS NORMALLY DISTRIBUTED WITH UNKNOWN PARAMETERS. SAMPLE SUMMARIES ARE: (SAMPLE MEAN) = $96 AND (SAMPLE STANDARD DEVIATION) = $20. (A) A T THE 5% SIGNIFICANCE LEVEL, IS THERE SUFFICIENT EVIDENCE THAT THE

From experience, an airline knows that only 75%of the passengers booked for a certain flight actually show up.If 8 passengers are randomly selected,find the that at least of them show up. Carry your intermediate computations to at least four decimal places,and round your answer to at least two decimal places.

The United States has roughly 220 million cars for 300 million people. That equates to approximately 73% of all Americans owning a car. China currently has 32 million cars for 1.3 billion people. If China suddenly had the same amount of car ownership as America how many cars would they have?

UICK GUIDE to Hour EXAM 1: Sections to review are noted below Prelim: Math Items: 1) You should be comfortable with Scientific Notation and its use (Hobson 2.3, 2.5) 2) Be able to perform mathematical operations (addition, subtraction, multiplication, division) using scientific notation (Hobson 2.3) 3) Be familiar with the usage of prefixes in

Test scores @ level 2 are distributed with a mean of 500 , sd = 100 . All random sample of 100 test scores , sd of sample means ? Probability of 100 randomly selected test scores will have a mean test score that is 490-520 ?

The MATH SAT Scores for all students who applied to the School of Engineering are normally distributed with = 629 and = 60. The School of Engineering has decided to accept those students whose scores fall within the top 15%. What is the minimum score an applicant must have in order to be accepted into the Engineering School?

content area top Part 1 Starting with an initial value of P(0)equals 25, the population of a prairie dog community grows at a rate of Pprime (t)equals30minusStartFraction t Over 5 EndFraction (in units of prairie dogs/month), for 0less than or equals tless than or equals150 . a. What is the population 5 months later? b. Find the population P(t)

State whether the following statement is true or false. If f(x)equalsxsquared and g(x)equalsStartRoot x plus 6 EndRoot, then fcircleg(7)equals8

1.Explore the spending amount by creating a pivot table for the categorical variables, and computing the average and standard deviation of spending in each category. 2.Explore the relationship between spending and each of the two continuous predictors by creating two scatter plots (SPENDING vs. FREQ, and SPENDING vs. LAST UPDATE). Does there seem

Find the standard normal area for each of the following (Round your answers to 4 decimal places.) : Standard normal area a. P (1.21 < Z < 2.11) b. P (2.00 < Z < 3.00) c. P (-2.00 < Z < 2.00) d. P ( Z > 0.50)

Calculate thep-value for the following conditions and determine whether or not to reject the null hypothesis. a)one-tail (lower)test, zp=1.78, and =0.05 b)one-tail (upper)test, zp=1.37, and =0.10 c)two-tail test, zp=2.39,and =0.05 d)two-tail test, zp=1.63, and =0.10 a) p-value=____ ? (round to four decimal places as needed.) Determine whether or

Problem 2. Use Gaussian-Jordan elimination of the block matrix [A | I,] to find the inverse or state why it does not exist. (a)A:[g H (b)A:B\" (c) A= E?c})
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Need help figuring how to do the equation. I can graph it. game Animal Tracks. 1. Choose two animals with different speeds. You can choose from the chart that starts at the bottom of this page or do research to choose your own. 2. Design a fair race in which the two animals have an equal chance of winning if they race at their top speed. Here are
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Determine the dimensions of Nul A, Col A, and Row Afor the given matrix. 130 54 A= 01045 00012 The dimension of Nul A is (Type a whole number.) The dimension of Col A is (Type a whole number.) The dimension of Row A is (Type a whole number.)
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calculus 8. Given f(x) = sin (4x + " ), find f' ("). a) 0 b) 4 c) -4 d) 1 9. The derivative of y = vex is: a) vex b) zvet C) Net d) = Vex 10. The derivative of y = 3e*cosx a) 3e"sinx b) 3e*(cosx)(sinx) c) 3e*(cosx - sinx) d) 3e*cosx + 3e*sinx Communication True or False: [' 1 1. The derivative of a sinusoidal function is another sinusoidal
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You have a hotel pan of lasagna with a total cost of (ingredients and labor) $55.42. The pan will be portion in 4 X 6. What is the portion cost? $2.01 $2.30 $2.55 $2.77

A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 99% confidence interval with a maximum error of 0.18 reproductions per hour. Assuming that the mean is 5.7 reproductions and the variance is known to be 5.29 , what is the minimum sample size required for the estimate? Round

we have used two distributions for the variable p-hat. What are these distributions? What are the similarities and differences between these two distributions? Discuss why one of these distributions gives the exact probability values and the other is used to approximate probability values.

(9 points) Short Answer Question 2 The Marriott Hotel marketing team wants to estimate , the proportion of the hotel guests who were return visitors in the past three years. They select a simple random sample of 150 guests from the past three year's records and finds that 27 of the sampled guests are return visitors. a)Compute a point estimate for

Traditional methods that forensic investigators use to determine human age require the destructive testing of bones or teeth. This presents a problem for crime scene investigators when the body of the deceased is not available. A recently developed DNA-based blood test now enables forensic investigators with only a drop of blood for evidence to

The percentage of all possible values of the variable that lie between 6 and 10 is?

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