Asurvey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. of 200 respondents selected, 75 were children and 125 were adults. 120 preferred hamburger and 80 preferred chickens. 55 of the children preferred hamburger and 20 preferred chickens. set up a 2x2 contingency table using this information and answer the following questions: foodage hamburger chicken totalchild 55 20 75adult 65 60 125total 120 80 200a) what is the probability that a randomly selected individual is an adult? b) what is the probability that a randomly selected individual is a child and prefers chicken? c) given the person is a child, what is the probability that this child prefers a hamburger? d) assume we know that a person has ordered chicken, what is the probability that this individual is an adult?

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.

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution?