At Webster Chemical​ Company, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. Testing for the presence of lumps destroys the​ product, so an analyst takes random samples. The following results are​ obtained: Tube No. Lumps Tube No. Lumps Tube No. Lumps 1 5 9 2 6 10 3 7 11 4 8 12 Determine the​ c-chart ​-sigma upper and lower control limits for this process. Is the process in statistical​ control? The equals 10.66 and the equals 1.00. ​(Enter your responses rounded to two decimal places​.) Is the process in​ control? A. B. At least one of the sample points is greater than the lower control​ limit, so the process is not in control. C. At least one of the sample points is less than the upper control​ limit, so the process is not in control. D. All of the sample points are within the control​ limits, so the process is not in control. E. F.

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

The average daily maximum temperature for laura’s hometown can be modeled by the function f(x)=4.5sin(πx/6)+11.8 , where f(x) is the temperature in °c and x is the month. x = 0 corresponds to january.what is the average daily maximum temperature in may? round to the nearest tenth of a degree if needed.use 3.14 for π .

What is the slope of (0,32) and (100,212)