QUESTION 2 Find the absolute minimum of f(x, y) = x²-y2-x on the region R = {(x, y)|3<< 5,2≤ y ≤ 4}. Express the answer as an ordered triple. fx = = 2x-1 = 0 = F₁ = -ay Y= 0 (½2,0) CP F
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- I just wanted to make sure i’m going in the right direction with my work so far. Finding myself a little confused.A quality control engineer studied the relationship between years of experience as a system control engineer and the capacity of the engineer to complete within a given time a complex control design including the debugging of all computer programs and control devices. A group of 25 engineers having widely differing amounts of experience (measured in months of experience) was given the same control design project. The results of the study are given in the following table with y 5 1 if the project was successfully completed in the allocated time and y 5 0 if the project was not successfully completed. a. Determine whether experience is associated with the probability of completing the task. b. Compute the probability of successfully completing the task for an engineer havingYour Turn: The Gas Guzzler Tax is imposed on manufacturers on the sale of new-model cars (not minivans, sport utility vehicles, or pickup trucks) whose fuel economy fails to meet certain statutory regulations, to discourage the production of fuel-inefficient vehicles. The tax is collected by the IRS and paid by the manufacturer. The table (top right) shows the amount of tax that the manufacturer must pay for a vehicle's miles per gallon fuel efficiency. 12.5 13.5 MPG (M) 14.5 15.5 16.5 17.5 18.5 19.5 20.5 21.5 22.5 Tax per Car (T) $6400 $5400 $4500 $3700 $3300 $2600 $2100 $1700 $1300 $1000 $0 1. Plot the data, verify that they are roughly linear, and add a line of best fit. Line of Best Fit: 2. Identify and interpret the meaning of the slope and the vertical intercept. 3. Predict the tax for a car which gets 20 MPG. Is this interpolation or extrapolation? 4. Predict the tax for a car which gets 10 MPG. Is this interpolation or extrapolation? 5. Predict the tax for a car which gets 30…
- If Starbright Coffee Shop could get 1 more pound of coffee, which one should it be?What would be the effect on sales of getting 1 more pound of this coffee?• If the costs associated with increasing brewing capacity from 30 gallons to 40 gallonsper day come out to roughly $15 per day, would such a change be profitable?• If the shop spent $20 per day on advertising that would increase the relative demandfor Pomona to twice that of Coastal, should it be done?ALREADY HAVE FIRST THREE ANSWERS NEED THE REST. ANOVA. Dr. Milgram is conducting a patient satisfaction survey, rating how well her patients like her on a scale of 1-10. Her patients tend to fall into three categories: “Like a lot”, “like somewhat”, and “dislike a lot”. She believes that she might get different satisfaction scores from people in each group, but (because she's not great at numbers) she wants you to do an ANOVA to be sure. She has collected data from 12 patients (three equal groups) with the following results. Group 1) “Like a lot” Mean: 8 SS: 2 N: df: Group 2) “Like somewhat” Mean: 5 SS: 6 N: df: Group 3) “Dislike a lot” Mean: 2 SS: 4 N: df: Grand Mean: 4 df Within-Group: 9 df Between-Groups: 2 Estimated Variance (S21) for Group 1: _______ Estimated Variance (S22)…The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.6 6.6 3.8 2.4 2.6 2.3 0.8 yy 13.9 11.1 9.9 7.1 6.4 6.4 5.8 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsUse your calculator to determine the equation of the regression line. (Round to 2 decimal places)A) Determine the regression equation in y = ax + b form and write it below. Answer=? B) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer = ? Round to 3 decimal places. C) How many murders per 100,000 residents can be expected in a state with 7.2 thousand automatic weapons?Answer = ? Round to 3 decimal places.
- Suppose you are the marketing manager of a firm, and you plan to introduce a new product to the market. You have to estimate the first year net profit, which depends on several variables • Sales volume (in units) • Price per unit • Unit cost . Fixed costs Your net profit is net profit = sales volume x (price per unit-unit cost) - fixed cost The fixed cost is $120, 000, but other factors have some uncertainty. Based on your market research, there are equal chance that the market will be slow, ok, or hot. • Slow market the sales volume follows Poisson distribution with mean 50,000 units product, and the average price per unit is $11.00 ● Ok market the sales volume follows Poisson distribution with mean 75,000 units product, the average price per unit is $10.00 Hot market: the sales volume follows Poisson distribution with mean 100,000 units product, but the competition is severe so you expect the average price per unit is just $8.00 No matter what the market type is, your average unit…3.3-4need answer and all the work
- Please solve the last part. gYou want to determine how many loaves of Bread are sold per day at Schat’s Bakery. You stand outside for ten different randomly selected days, count the number of loaves, and then average them. You come up with 421 loaves per day. In reality, Schat’s keeps records of how many loaves they sell per day, and in they averaged 395 loaves per day. What is the static in the above example?Many times property value appraisers estimate the value of specific properties with minor or sometimes major difference. A company that builds apartment buildings in Athens considers two appraisers, A and B. who give an estimate of the sale price of their apartments. The sales department of the company has observed that in most cases appraiser A gives smaller value estimates of their apartments. The company would like to know if this is true for estimated values of apartments of other companies. Let X₁ be the appraisal value of an apartment of other companies by appraiser A. Let X2 be the appraisal value of an apartment of other companies by appraiser B. Also, let D=X₂-X₁. The company selected a random sample of apartments of other companies. Let be the appraisal value of each apartment in the sample by appraiser A. Let *2 be the appraisal value of each apartment in the sample by appraiser B. The measurements and *2 are in thousands of euros and are given below. Let d=x₂-x. At the 5%…
