Suppose 1,250 raffle tickets are being sold for $5 each. One ticket will be chosen to receive a cash prize of $2,500, and three tickets will be chosen to receive cash prizes of $500. Let x be the amount of money won/lost by purchasing one raffle ticket. Find the expected value for x. (Round your answer to the nearest penny. Do not include a $ sign in your answer. Your answer may be positive or negative.)

1. during first 10 seconds 2. between 10 seconds and 35 seconds 3. during 35 seconds to 40 seconds

What point is the projection of q on a) r b) s c) t

Use the frequency distribution, which shows the number of american voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range. ages frequency 18 to 20 5.9 21 to 24 7.7 25 to 34 20.4 35 to 44 25.1 45 to 64 54.4 65 and over 27.7 the probability that a voter chosen at random is in the 18 to 20 years old age range is nothing. (round to three decimal places as needed.)