Find the radius of convergence, R, of the series. R = n = 1 I= (x-8)" nn Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
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- The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 62000 cells. The FDA then tasks you with checking to see if this is accurate. You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 762004 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample. a. Why is the sampling distribution approximately normal? b. What is the mean of the sampling distribution? c. What is the standard deviation of the sampling distribution? d. Assuming…My boss warms up for her trip in switzerland for the winter. He will be lagging three tops over each other and two pair of mittens. If he has fifteen tops and ten pair of mittens, how many ways can he layer up?There is no cure for the common cold, but many cold remedies claim to make you feel better faster. A consumer watch group decides to compare the effectiveness of Vitamin C to the effectiveness of Echinacea in lessening the duration of the common cold. Sixty participants have volunteered to be infected with the cold virus for this study. In addition to the Vitamin C and Echinacea treatments which will be administered in capsules that are identical in appearance, one of the researchers suggests that they add a group that receives no treatment but receives an identical looking capsule with an inactive ingredient. If they decide not to add a group that receives no treatment, then: (A) This study will not be an experiment since there will not be a control group. (B) Even if there is a difference in recovery time between the Vitamin C and Echinacea groups, we will not know if the recovery times are less than if no treatment were given. (C) The experimental design will not be taking into…
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- A student received an A- in Engineering Math (3 credits), a B+ in introduction to PDT ( 3 credits), an B in Client server ( 3 credits), and a A in Technical writing ( 2 credits). Assuming that, A = 4 grade points, A- = 3.7 grade points, B+ = 3.3 grade points, B = 3 grade %3D %3D points, B- = 2.7 grade points, and C+ = 2.3 grade point, C = 2 %3D grade points and C- = 1.7 grade points. Find the student's grade point average (GPA)? [2 decimal place calculation] O a. 7.37 b. 3.37 О с. 3.73 d. None of the option is correctScientists at a pharmaceutical company want to compare their new drug to an existing one. Let's call the new drug A and the old drug B. In a random sample of 120 subjects who took drug A, 40% developed sever side effects. Whereas, in a random sample of 100 subjects who took drug B, 45% developed severe side effects. These scientists are interested to see if there is significant evidence that their new drug reduces severe side effects in patients the a = 0.05 significance level. What is the test statistic for this test? (P1-P2)-0 0.4-0.45 -0.748146 0.45(100)+0.4(120) 0.45(100)+0.4(120) 120+100 (뿌+뿌) 120+100 100 (P1-ê2)–0 0.4–0.45 = -0.747435 P141 , P242 +. 0.4(0.6) 0.45(0.56) 120 100 0.4–0.45 -0.748146 0.45(100)+0.4(120) 0.45(100)+0.4(120) 120+100 120+100 (부·뿌)(글 (P1-P2)-0 0.4-0.45 2 = -0.747435 P191 P292 0.4(0.6) 0.45(0.55) +. 120 100A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
- In a group of 80 bracu-cse students, in this semester, 50% of them took CSE230, 70% of them took CSE111. If each people took at least one course, how many of them took ONLY CSE230?The shortage of organs for transplant is a continuing problem. At the end of 2000, there were 3536 people waiting for a heart transplant, 3355 for a lung transplant, 16,012 for a liver transplant, and 46,824 for a kidney transplant. Corresponding figures for 2003 were 3292, 3543, 16,985, and 56,590, respectively. In 2006, the figures were 2625, 2691, 16,882, and 68,412, respectively. Express the information as a matrix, labeling rows and columns. Fill in the matrix below. Heart Liver 3536 46,824 3543 56,590 2006 2625 16,882both sheets are for the same problem.
