Agame has 3 possible outcomes, with probabilities p 1, p 2, and p 3. the amount of money that you will win or lose for each outcome is v 1, v 2, and v 3, respectively. what is the expression p 1 v 1 + p 2 v 2 + p 3 v 3 equal to? the total amount you will win (or lose) in the long run. the average amount you will win (or lose) per game in the long run. the exact amount you will win (or lose) per game. the amount that you will win (or lose) for 3 games.

Afamily of five rents a kayak and splits the total time, k, equally. each family member spent less than 25 minutes kayaking. which values can be used to complete the math sentence below so that it accurately represents the situation? intro done

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Yesterday, george drank 1 small bottle and 2 large bottles, for a total of 1,372 grams. the day before , he drank 1 small bottle and 1 large bottle, for the total of 858 grams. how many grams does each bottle hold?