An oil refinery produces oil at a variable rate given by the following equation, where t is measured in days and Q is measure in barrels. 900 if ost< 30 Q'(t) = { 2900 - 70t if 30 st<40 200 if t2 40 a. How many barrels are produced in the first 35 days? b. How many barrels are produced in the first 50 days? c. Without using calculus, determine the number of barrels produced over the interval [70,80].
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.The 2019-2020 flu season was especially tough. By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. a.What was the proportionate mortality rate from flu during the 2019-2020 flu season? b.What was the case fatality rate from flue during the 2019-2020 flu season?
- The 2019-2020 flu season was especially tough.By the end of the season, an estimated total of 49 million people in the United States had contracted the flu, of whom an estimated 79,000 died from the flu. Assume that the US population was 300,000,000 during the 2019-2020 flu season and that during the season, a total of 2.9 million Americans died from all causes (including the flu). Assume the population of the US remained the same at the midpoint of the season. Report mortality rates per 100,000. Be sure to express the measure in the correct format. c.What was the flu-related mortality rate during the 2019-2020 flu season? d.What is the all-cause mortality rate during the 2019-2020 flu season? e.In a country with an age distribution that is much younger than in the US, the proportionate mortality rate from flu in 2019 was 5%. Based on this information alone, can we determine that the risk of dying from flu in 2019 was higher in this country compared to the US? Why or why not?Suppose we want to predict job performance of Chevy mechanics based on mechanical aptitude test scores and test scores from personality test that measures conscientiousness. mech aptitude conscientiousness job performance x1 x2 y 40 25 1 45 20 2 38 30 1 50 30 3 48 28 2 55 30 3 53 34 3 55 36 4 58 32 4 40 34 3 55 38 5 48 28 3 45 30 3 55 36 2 60 34 4 60 38 5 60 42 5 65 38 5 50 34 4 58 38 3 Please use excel to find a line to minimize the absolute deviation. It is fine if you do not need to write down the formulation, but please print out the excel solutions and find the coefficients a1,a2, b of the line:y= a1 x1+ a2 x2+ b4) Here are data on the lengths of male and female roaches (in mm). Your job is to find out if there is adifference between male and female roaches (this should be two sided - why?).males 15.4 13.9 12.7 9.6 6.6 10.7 9.9 13.3 16.2 9.0 11.4 16.6 12.2females 16.7 16.3 12.8 16.9 15.1 12.8 18.7 18.3 8.6 13.6 15.3 16.2 13.4It's up to you to figure out what the best procedure is, what kind of hypotheses to use, which α to use,what test to use, and so on. Make sure you follow all the appropriate steps. You should probably use Ras you’ll get done much quicker. Remember to very clearly state your results in writing. Never turn in just an R printout .Hint: how do you decide which test to use? What kind of distributions do the data have?
- AUA wants to know whether recent alumni students from MBA class earn significantly more than recent alumni from BAB class. They take a sample of several students and ask the amount of their monthly salaries in USD (Sheet 32). What can AUA conclude at alpha=0.05? Sheet 32 MBA BAB 515 300 450 420 620 380 630 450 570 420 590 490 750 510 560 470 480 530 250 570 320 480 450 620 625 190 350 280 450 350 570 250 Select one: a. t(stat)=1.92, which is greater than t(cr)=1.7, therefore, we can conclude that MBA graduates earn more BAB graduates. b. t(stat)=1.89, which is greater than t(cr)=1.75, therefore, we can conclude that MBA graduates earn more BAB graduates. c. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we cannot conclude that MBA graduates earn more BAB graduates. d. t(stat)=2.07, which is greater than t(cr)=1.69, therefore, we can conclude that MBA graduates earn more BAB graduates.Show what correction (using the generalized least squares method) we should use if the form of heteroskedasticity was the following, show mathematically For both a) and b)Consider the hypothetical case that there were only two brands of juice on the market, company A and company B. 52% of the population drinks juice from company A (it is not known whether these people consume only juice A or if they also consume juice B). 51% of the population drinks juice of company B (again, it is not known how many of these people drink only juice B or if they drink both juice). However, it is known that 21% of the population does not drink juice. Based on these data, we can estimate that the percentage of the population that drinks juice from both companies is: (choose only one): a) 36% b)37% c) 24% d)23% e)5.3%
- Consider the hypothetical case that there were only two brands of juice on the market, company A and company B. 52% of the population drinks juice from company A (it is not known whether these people consume only juice A or if they also consume juice B). 51% of the population drinks juice of company B (again, it is not known how many of these people drink only juice B or if they drink both juice). However, it is known that 21% of the population does not drink juice. Based on these data, we can estimate that the percentage of the population that drinks juice from both companies is: (choose only one) a) 56% b) 40% c) 22% d) 23% e) 34%plz provide handwritten answer for question 2 part d asap for getting upvoteA panel of dentists is interested in testing two different toothpaste brands (A and B) to see if there is a relationship between the brand and whether or not the patient has a cavity at their next appointment. A representative sample of 60 patients is recruited to take part in the study. At their first appointment of the year, each subject is assigned to brush their teeth with one of the two brands for the next six months. At their follow-up appointment six months later, they were checked for cavities. What method of data collection was used? Select one: a.Experiment b.Observational Study