Basic Math question and answers for July 31, 2023
- Q A forest is populated with two species of​ animals, A and B. Theforest supplies two kinds of​ food, F1 and F2. For one​ year, eachmember of species A requires 1...
- Q A man gets a job with a salary of 38600 dollars a year. He ispromised a 2710 dollars raise each subsequent year.His total earning for a 8-year period is
- Q Determine the open intervals on which the function is increasingand on which the function is decreasing. Enter ∅ to indicate theinterval is empty.f(x)=−4x^3−12x^2+36x
- Q What is the minimum value of the function f(x)= (ln x) ^ln x forx > 1?A.) 1/eB.) 0C.) e^-e^-1D.) 1E.) (ln 2) ^ln 2
- Q Let f(x) and g(x) be two generic functions. Assumelimx→0(f(x)+2g(x))=2 & limx→0(f(x)−g(x))=8.Compute limx→1(f(lnx)/g(x2−x)).A. It cannot be computedB. 2C. 4D. -3E. -4
- Q 1. For z=x^2-xy^2 find:a. the gradient for z;b. the directional derivative in direction of <3,-1>;c.the approximation for Δz when taking a Δs =0.05 step from(1,2) in direction of <3,-1>;d. the...
- Q a.Find the absolute maximum and minimum for z=xy-x-y/2 over theregion bounded by y=x^2 and y=3x;b. Find the critical points and critical values forz=x^2+2y^2-2xy+3x+y+3.
- Q Suppose​ g(x) is in Standard Form of Quadratic with a positiveleading coefficient. Answer the​ following:​A) What is the vertex of​ g(x)?​B) What is the Domain of​ g(x)? Why?​C) What is...
- Q Evaluate ∠(1 + 3? + 8? + 6?) ?? ? where E is the solidtetrahedron with vertices (0,0,0), (1,0,0), (0,2,0) and (0,0,3)
- Q Deluxe River Cruises operates a fleet of river vessels. Thefleet has two types ofvessels: A type A vessel has 60 deluxe cabins and 160 standardcabins, whereas a type B vessel...
- Q Calculate the volume of the closed body with z2 + (x- 2)2 = 4, y = 3 and x + y = 8 surfaces with a doubleintegral of polar coordinates.
- Q Suppose f(x,y)=(x−y)(16−xy).f(x,y)=(x−y)(16−xy). Answer thefollowing.1. Find the local maxima of f.f. Listyour answers as points in the form (a,b,c)(a,b,c).Answer (separate by commas):2. Find the local minima of f.f. Listyour answers as...
- Q In your discussion post, think about some examples ofexponential growth in the real world. They might be examples fromscience, medicine, or finances. Share two examples of exponentialgrowth, and include a...
- Q 1. Find the area between the curves y = x2 and y = x+ 2.Round your answer to one decimal place.2. Find the area under the curve defined by the...
- Q Find the vector equation of the tangent line to the surface f(x,y)=x/(1+y)+e^(x+y) at the point (-1,1,1/2) that is parallel to thexz-plane
- Q 1. a. Find the relative maximum and minimum values of f(x, y) =(3x^2) − (2y^2) b. Find the relative maximum and minimum values off(x, y) = (x^3) + (y^3) −...
- Q Solve for the unknown x and y in the following nonlinearequation using Taylor’stheorem (Use ?0 = 5 and ?0 = 5 for initial approximations)?^2? − 3?^2 = 75?^2 − ?...
- Q Find the line that passes through the point (0, 1) and throughthe point of intersection of the two lines  and
- Q Find the Laplace transform of the given function. (Express youranswer in terms of s. Assume thats > 0.)f(t) =0,  t < 1t2 − 2t + 4,  t ≥ 1
- Q 1.y''+y=5.8x^2. 2.y''-4y=0, (x=0, y=4.9; x=0, y' =6.4) *What isthe value of the coefficient of the term e^2x?ode
- Q Approximate the area under f(x) = (x – 1)2, above thex-axis, on [2,4] with n = 4 rectangles using the (a) left endpoint,(b) right endpoint and (c) trapezoidal rule (i.e....
- Q Find the maximum and minimum distance from the origin to a pointon the curve 9x^2−2xy+9y^2=8 in the (x,y) plane.Maximum distance =  Minimum distance =
- Q (x-1) is a factor of P(x) = x^3 - ax^2 + bx-10. When P(x) is divided by (x+4) there isa remainder of 10. Determine the values of a andb.
- Q (a) Sketch the curve represented by the polar equation:  r = 2 + sinθ(b)  Find the points on the given polar curve wherethe tangent line is horizontal or vertical, and what...
- Q If 3/(2+ cos θ+i sin θ) = a+ib, then [(a-2)2+b2] is
- Q Newton-Raphson Method.Kindly explain the method and useillustrations for clear understanding of concepts
- Q find the point on the line 6x+2y-3=0 which is closestto the point (-4, -4)
- Q Is it important to know the domain of a logarithmic functionbefore finding the derivative? Why?
- Q Let f(x) = 3x-2sqrt(x)(a) Find the equation of the secant line through the (4, f(4))and (9, f(9))(b) Show that there is only one number c in the interval (4,9)that satisfies...
- Q In 2003, a principal of $2100 was invested at 4.75% interest,compounded annually.Let t be the number of years since 2003. Let y be the value ofthe investment, in dollars.Compose an...
- Q A large wheel is attached to a boat and spins as the boat moves.A rock becomes nudged in the wheel as it spins in the water. It isnoticed that at...
- Q Evaluate lim x approaches 0+ x^x^x
- Q Systematic random samples are often used to choose a sample ofapartments in a large building or dwelling units in a block at thelast stage of a multistage sample. An example...
- Q Samples of computers are taken from two county library locationsand the number of internet tracking spyware programs is counted.The first location hosted 21 computers with a mean of 4.1 trackingprograms...
- Q Given the following five pairs of (x,?y)values,x1311814y107421(a)Determine the least squares regression line. (Be sure to save your unrounded values of b0and b1 for use in Problem #6 below.)(b)Draw the least squares...
- Q Bobby rolls 2 fair 6-sided dice and considers it a "success" ifthe sum of the die results is 5 or 6. He performs 4trials. Martha tosses 2 fair coins and considers...
- Q which statistical analysis to use for a survey on a group of 6people of 3 questions with four choices each strongly positive,positive, neutral and not positive and show an example
- Q The results of inspection of samples of a product taken over thepast 5 days are given below. Sample size for each day has been100:Day12345Defectives261437Find the center line (CL).a.6.4b.0.32c.3.2d.0.064We are interested...
- Q Part 2: For each hypothesis question (6 - 8): (a) state theclaim mathematically, (b) identify the null andalternate hypotheses, (c) determine the type of test to be used,(d) calculate the...
- Q Consider the following hypothesis test.H0: ? ? 25Ha: ? > 25A sample of 40 provided a sample mean of 26.8. The populationstandard deviation is 6.(a)Find the value of the test...
- Q The following data represent the calories and? sugar, in? grams,of various breakfast cereals.ProductCaloriesSugarA3509.7B4104.5C43024.0D49025.0E54022.6F55024.7G59022.2Use the data above to complete parts? (a) through? (d).a. Compute the covariance.b. Compute the coefficient of correlation.c....
- Q 1. a)What is your null hypothesis regarding sepal lengths forthe two species? And what is your alternate hypothesis?b) Describe your hypotheses in terms of your test statistic: whatwould be the...
- Q : An observational study is conducted toinvestigate the association between age and total serumcholesterol. The correlation is estimated at r = 0.35. Thestudy involves n=125 participants and the mean (std...
- Q The Westchester Chamber of Commerce periodically sponsors publicservice seminars and programs. Currently, promotional plans areunder way for this year’s program. Advertising alternatives includetelevision, radio, and online. Audience estimates, costs, andmaximum...
- Q The two-sample t-test is applied to compare whether the averagedifference between two groups is significant or if it is dueinstead to random chance.Use good references,1. Briefly, describe the difference betweenUnpaired...
- Q Week123456Value181417121815Calculate the measures of forecast error using the naive (mostrecent value) method and the average of historical data (to 2decimals).Naive methodHistorical dataMean absolute errorMean squared errorMean absolute percentage error
- Q Part II: Linear Programming Model- Forbelt Corporation has aone-year contract to supply motors for all refrigerators producedby the Ice Age Corporation. Ice Age manufacturers the refrigeratorsat four locations around the...
- Q Test the hypothesis (at the .05 levelof significance) that individuals who were bullied are more likelyto bully others. Test the hypothesis (at the .05 level ofsignificance) that individuals who were...
- Q Suppose that in the certain country the proportion of peoplewith red hair is 29%. Find the following probabilities if 37 peopleare randomly selected from the populattion of this country. Roundall...
- Q A researcher interested in a relationship between self-esteemand depression conducted a study on undergraduate students andobtained a Person correlation of r = - 0.32, n = 25, p > .05between...
- Q You wish to test the following claim (HaHa) at a significancelevel of ?=0.05?=0.05. Ho:?1=?2Ho:?1=?2 Ha:?1>?2Ha:?1>?2You obtain the following two samples of data.Sample #1Sample #267.8100.596.859.466.786.289.286.770.6100.565.877.478.471.969.361.469.681.690.475.383.470.984.575.36258.677.473.870.6838363.676.261.475.684.592.687.673.977.377.864.967.549.78756.596.175.884.139.663.868.588.384.174.475.395.16757.837.185.2103.45579.852.566.528.5101.948.775.363.875.828.572.962.297.186.489.6What is the test statistic for this sample? (Report...
- Q What level of measurement do Wilcoxon and KW require?When is a parametric test used?What is the Kruskal-Wallace (KW) test?What is the Wilcoxon test?What is the sign test? Level of measurement?Be...
- Q A plastic bag manufacturer claims that the bags have a tearresistance (in Kg.) that is distributed N(10, 1):a) We take 9 bags and get an average tear resistance of 9.5...
- Q a. By hand, make an ordered stemplot of the distribution of thevariable MothersAge for the female students.Show both your rough and final version of thestemplot. Use stems of five (See...
- Q The life time X of a component, costing $1000, is modelled usingan exponential distribution with a mean of 5 years. If thecomponent fails during the first year, the manufacturer agrees...
- Q Complete this vocabulary1-p-hat2-sample3-chance model4-Statistic ( not statistics )5-Simulate6-Strength of evidence7-Observational units8-Variable9-Parameter10- Plausible
- Q Customers at the local Subway store order an ice tea with theirmeal 75% of the time. Use the Binomial distribution to find theanswer to the following. __________Find the probability that...
- Q A professional football team is preparing its budget for thenext year. One component of the budget is the revenue that they canexpect from ticket sales. The home venue, Dylan Stadium,...
- Q 10. (12%) Keno: Keno game is a game with 80 numbers 1, 2, … , 80where 20 numbered balls out of these 80 numbers will be pickedrandomly. You can pick...
- Q You are preparing some sweet potato pie for your annualThanksgiving feast. The store sells sweet potatoes in packages of6. From prior experience you have found that the package willcontain 0...
- Q A television sports commentator wants to estimate the proportionof citizens who? "follow professional? football." Complete parts?(a) through? (c).?(a) What sample size should be obtained if he wants to bewithin44percentage points...
- Q 4. Are biomedical engineering salaries in Miami less than thosein Minnesota? Salary data show that staff biomedical engineers inMiami earn less than those in Minnesota. Suppose that in afollow-up study...
- Q In? 2008, the per capita consumption of soft drinks in Country Awas reported to be 19.35 gallons. Assume that the per capitaconsumption of soft drinks in Country A is approximately...
- Q A quality survey asked recent customers of their experience at alocal department store. One question asked for the customers ratingon their service using categorical responses of average,outstanding, and exceptional. Another...
- Q CNNBC recently reported that the mean annual cost of autoinsurance is 988 dollars. Assume the standard deviation is 105dollars. You will use a simple random sample of 110 auto insurancepolicies.Find...
- Q Each observation in a random sample of 106 bicycle accidentsresulting in death was classified according to the day of the weekon which the accident occurred. Data consistent with informationare given...
- Q A researcher believes that alcohol intoxication might severelyimpair driving ability. To test this, she subjects 10 volunteers toa driving simulation test, first when sober, and then, afterdrinking amounts sufficient to...
- Q Based on historical data, your manager believes that 44% of thecompany's orders come from first-time customers. A random sample of141 orders will be used to estimate the proportion offirst-time-customers. What...
- Q A corrections researcher is interested in gender differences inthe amount of bail that arrestees have to pay. The data for thisstudy is in the Excel data file, under the tab...
- Q Researchers would like to see if there is a difference insatisfaction levels in a group of families’ use of service centersfollowing a social service intervention. The data for this study...
- Q USE CALCULATOR AND SHOW EVERYSTEP USING CALCULATOR INCLUDING THENUMBERS USE INPUT IN THE TEST. New road signs are made with theintention of improving visibility for drivers. Highway safetyengineers setup a...
- Q How has “Big Data” and analytics impacted health care? Explainwith at least three practical examples
- Q Use the t-distribution to find a confidence intervalfor a mean ? given the relevant sample results. Give the best pointestimate for ?, the margin of error, and the confidence interval.Assume...
- Q Schoneberger and Cukier define “Big Data” as “more, messy, andgood enough”. Explain each of these concepts with an example foreach
- Q The accompanying data are the shoe sizes and heights? (ininches) of14men. Find the equation of the regression line. Then construct ascatter plot of the data and draw the regression line....
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!