Condé nast traveler conducts an annual survey in which readers rate their favorite cruise ship. all ships are rated on a 100-point scale, with higher values indicating better service. a sample of 36 ships that carry fewer than 500 passengers resulted in an average rating of 85.39, and a sample of 43 ships that carry 500 or more passengers provided an average rating of 81.1. assume that the population standard deviation is 4.56 for ships that carry fewer than 500 passengers and 3.93 for ships that carry 500 or more passengers. round your all answers to two decimal places. a. what is the point estimate of the difference between the population mean rating for ships that carry fewer than 500 passengers and the population mean rating for ships that carry 500 or more passengers? b. at 95% confidence, what is the margin of error? c. what is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

Two cars which are 40 miles apart start moving simultaneously in the same direction with constant speeds. if the speed of the car which is behind is 56 mph and the speed of the other car is 48 mph, how many hours will it take for the car which is behind to catch up the car ahead of it?

Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?