Acarnival game allows a group of players to each draw and keep a marble from a bag. the bag contains 5 gold marbles, 25 silver marbles, and 70 red marbles. a player wins a large prize for drawing a gold marble and a small prize for drawing a silver marble. there is no prize for drawing a red marble. at the start of the game, the probability of winning a large prize is 0.05 and the probability of winning a small prize is 0.25. suppose that the first player draws a silver marble and wins a small prize. what is the probability that the second player will also win a small prize? if a group of four plays the game one at a time and everyone wins a small prize, which player had the greatest probability of winning a large prize? how could the game be made fair for each player? that is, how could you change the game so that each player has an equal chance of winning a prize?

The customer price index(cpi), which measures the cost of a typical package of customer goods, was 208.8 in 2011 and 244.1 in 2016.let x=11 corresponding to the year 2011 an estimate to cpi into 2013 and 2014. assume that the data can be modeled by a straight line and the trend to continue idenfinitely. use data points to find such a line and then estimate the requested quantities

Which scenarios are most effectively explored by conducting an experiment? there is more than one correct answer. select all that apply. researchers want to study the effectiveness of a particular drug for treating migraines. they want to know which dosage of the drug yields the best results with the least side effects. to ensure fair results, the researchers want to ensure that participants and dosage administrators do not know which dosage participants receive. a teacher wants to plan a class fieldtrip and quickly determine where students prefer to go for the class fieldtrip. a car mechanic wants to know which of two engine brands makes better-performing engines. he wants to test the engines in identical situations and rate their performance in a way that can be fairly measured. a chemist studies the properties of a metal compound. she wants to know how the sample size of the metal affects its ability to conduct electricity. she wants to conduct the research in a controlled environment to minimize bias. a realty company wants to know the average income of its clients. the company wants to gather data income from current clients.

The table shown below gives the approximate enrollment at the university of michigan every fifty years. how many more students were enrolled at the university of michigan in 1950 than in 1900?