A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 190 lb of coffee, disregardi any fixed costs. c'(x) = -0.026x + 6.75, for xs 200 The total cost is $ (Round to the nearest cent as needed.) A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x) is the marginal cost, in cents, per card. Find the total cost of producing 520 cards, disregarding any fixer C'(x) = -0.07x +73, for xs 1000 The total cost is cents

Use the Law of Syllogism to make a conclusion.

A marketing firm wishes to test the effectiveness of the audio/visual presentation of certain information as opposed to the purely audio presentation of the information.  To this end 100 volunteers were given a 10 minute presentation in which the information was presented in an audio/visual format.  A second group of 100 volunteers was presented the same information in a purely audio format.  Each person in each of the two groups was asked the same 20 questions related to the information in the presentation.   The audio/visual group had an average of 10.5 correct responses with a sample standard deviation of 4.  The purely audio group had an average of 9.4 correct responses with a standard deviation of 3.  The marketing firm believes this means that the audio/visual format leads to better retention of the information. We test the hypotheses H0:  1 -2=0 versus Ha: 1 -2>0 at a 2% level of significance.   Here  denotes  1 the population average number of correct responses for…

A test contains 12 problems. The teacher gives 24 points for each correctly solved problem and withdraws 15 points for incorrectly solved problems. If a problem is not solved it is considered incorrect.   Ron claims he got a zero for the test. That is impossible says Mia. Is there any reason for mia to say that?

That is the first answer I got and it was also marked as incorrect. I am not sure why. I also tried the rounded version and it didn't work.

Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the exam instructions say that either BOTH questions 1 and 2 may be included among the ten OR NEITHER is to be included.  How many different choices of 10 questions are there?

A teacher was listening to some of her students talk about how many SnapChats they send during the day. The teacher decided that she wanted to conduct a study to see if the number of SnapChats a student sends per day affects how much time students talk to their friends face-to-face. So, the teacher let her 2nd period class continue sending Snaps as they always have. Then, the teacher told her 5th period that they were to not watch use SnapChat for a whole day. Then, the teacher had students record how many conversations they had with their friends during the week, gathered the data, and analyzed the results. c. What was the research question?