The probability density of a random variable X is given in the figure below. 0 1 X From this density, the probability that X > 1.5 or X < 0.22 is:

The technology underlying hip replacements has changed as these operations have become more popular (over 250,000 in the United States in 2008). Starting in 2003, highly durable ceramic hips were marketed. Unfortunately, for too many patients the increased durability has been counterbalanced by an increased incidence of squeaking. An article reported that in one study of 146 individuals who received ceramic hips between 2003 and 2005, 11 of the hips developed squeaking. (a) Calculate a lower confidence bound at the 95% confidence level for the true proportion of such hips that develop squeaking. (Round your answer to three decimal places.) 0.0019 (b) Interpret the 95% confidence level used in (a). We are 95% confident that the true proportion of all such artificial hip recipients who experience squeaking is less than the lower bound. We are 95% confident that the true proportion of all such artificial hip recipients who experience squeaking is greater than the lower bound. You may need…

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

Hello, Can you explain problem c) I do not understand the solution.

Can you please help me solve without the use of technology?

Change this LP problem (e.g., money, time, or number of batches), so that it has at least two whole­ number solutions:   A bakery makes both chocolate cakes and almond cookies. Each batch of cakes requires 2hours in the oven and 3hours into decorating room. Each batch of cookies requires 1hour and 30 minutes in the oven and 30 minutes into the decorating room. The oven is available no more than 15hours per day, and the decorating room can be used no more than 13hours per day. The Daily profit from production of one batch of cakes is $50 and one batch of cookies is $15. How Many batches of cakes and cookies should be produced daily in order to maximize bakery's profit?

For this problem you can ignore parts a b and c. I have those answers. I am getting hung up on parts d, e, and f. Thank you

I am lost on what to do. I've tried to list what I know, but I got confused and have no leads. I'm working on Problem 3. Pleases help and show steps how to work out problem.

A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 4 km downstream on the opposite bank, as quickly as possible (see the figure below). He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/h and run 8 km/h, how far (in km) downstream from C should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows. Hint: This question is based on EXAMPLE 4 in Section 4.7 of the textbook. However, for this question, the textbook has added a challenge which may require an unexpected solution. Look for itl) A km from C

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…