A restaurant offers 3 different entrees, 6 different vegetables, and 3 different desserts. (a) If you are going to order one item from each category, how many different meals are possible? (b) If you are going to order one entree, two different vegetables, and one dessert, how many different meals are possible? (c) How many different meals are possible if you're going to order one entree, three different vegetables, and at most one dessert? (In other words you have the option of skipping dessert.)

Part b is not completely right please check that and also part c is completely wrong. Please provide the correct solutions.

So I decide to go to Cinnaholic once day and I buy two cinnamon rolls. I notice that these cinnamon rolls do not appear to be the same size, so naturally I eat the smaller one first and then eat the bigger one. As I am sitting on my couch stuffed from those delicious rolls, I start to think, "I wonder if Cinnaholic makes their cinnamon rolls to the size they claim them to be." Of course I have to go and purchase several rolls, weigh them (in ounces), and eat them. 30 pounds later, I have collected all of my data and tabulated it below: Cinnamon Roll Weight 5.6, 6.3, 6.1, 6.1, 5.9, 5.8, 6.0, 6.0, 6.1, 6.3, 6.3, 6.3, 6.4, 5.8, 5.7.  Cinnaholic claims that their Cinnabon rolls are made to weigh 6.1 ounces on average. The mean is 6.0467 Standard deviation: 0.2475

The answer provided for question B is not correct. I attempted to submit using that answer and the system told me the answer was not correct.

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…

A researcher is interested in whether people who enjoy fine wine can actually tell the difference between a highly rated expensive wine and a good inexpensive wine. She selects several bottles of a highly rated cabernet sauvignon (a red wine) costing over $100 per bottle and several bottles of a good cabernet sauvignon costing $12. Subjects will taste a glass of wine without knowing whether it is the expensive or inexpensive wine. This is the treatment. They will then be asked to estimate how much the wine cost. This is the response variable. Outline a completely randomized design to compare the cost estimates for the two treatments. Twenty subjects are available. Group 1 Treatment 1 10 subjects expensive wine Compare Price estimate Random assignment Treatment 2 A Grouo 2 10 subjects inexpensive wine Group 1 10 subjects - expensive wine Random assignment Compare price estimates Group 2 10 subjects - inexpensive wine Treatment 1 Group 1 20 subjects expensive wine Compare Price estimate…

Why system of equations is called autonomous ?

A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…

Explain Computer Algebra Solution of Systems?

How can we transform non-linear equations.