Let A %3D [1 2 -3]. В %3D [-1 4 2], and C = [-3 0 1]. If possible, compute the following: (а) АВТ (b) САТ (с) (ВА")С (d) АТ В (е) СТ () СТС (g) ВТСААТ
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![Let A %3D [1 2 -3]. В %3D [-1 4 2], and
C = [-3 0 1]. If possible, compute the following:
(а) АВТ
(b) САТ
(с) (ВА")С
(d) АТ В
(е) СТ
() СТС
(g) ВТСААТ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a8d03bc-0201-4002-8823-b274bc0053ce%2Fb61fd9f3-b181-4ae3-bb4b-7e3f84ee6569%2Fv24or74_processed.png&w=3840&q=75)
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- Explain the differences between Gaussian elimination and Gauss-Jordan elimination.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 1Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
- According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 6 comma 0006,000 roaches (the expected number in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 18 comma 10718,107 dead roaches were counted, a gain of 12 comma 10712,107 roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches produced per roach in a 1-week period, is 1.61.6. Use the number of roaches produced by the sample of 6 comma 0006,000 roaches to find a 9595% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house. Find a 95% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.A project requires an initial outlay of $92000 and produces a return of $30000 at the end of year 1, $40000 at the end of year 2, and $42xyz at the end of year 3, where x, y, z are the last three digits of your student code (for example: if a student code is 17071365 then x = 3, y = 6, z = 5 and $42xyz=$42365). a/ Use the trial-and-error method or another appropriate method to determine the internal rate of return IRRof the project (express IRR in percentage, rounded to one decimal place); b/ Find the net present value NPV of the project if the market rate r is equal to the value of IRR as found above, then give a comment.At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 22 x + y = 50 + z + u and x − y + z − u = 58. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo Google
- Suppose that in a research it was discovered that those who majored in math, engineering, or computer science scored higher on tests measuring "problem-solving" ability at the end of 4 years of college than did those students who did not major in these fields. A. What is (are) the independent variable(s)?Suppose that a magazinemagazine predicted that Candidate A would defeat Candidate B in a certain election. They conducted a poll of its subscribersits subscribers with a response rate of 2424%. On the basis of the results, the magazinemagazine predicted that Candidate A would win with 57% of the popular vote. However, Candidate B won the election with about 62% of the popular vote. At the time of this poll, most subscribers to the magazinesubscribers to the magazine belonged to the party of Candidate A. Name two biases that led to this incorrect prediction.Choose the correct answer below. A.Nonresponse bias: The low response rate caused bias.Response bias: The way the poll was administered showed bias. B.Sampling bias: Using an incorrect frame led to undercoverage.Nonresponse bias: The low response rate caused bias. C.Sampling bias: Using an incorrect frame led to undercoverage.Response bias: The way the poll was administered showed bias. Click to select your answer.Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?
