Suppose you play a die-rolling game in which a fair 6-sided die is rolled once. If the outcome of the roll (the number of dots on the side facing upward) is odd, you win as many dollars as the number you have rolled. Otherwise, you lose as many dollars as the number you have rolled. Let be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money. a. What is your profit if the outcome of the roll is 3? b. Fill out the following probability distribution tableOutcome x Probability c. Compute the expected value (the mean) of X d. Explain the meaning of the expected value of X in the context of this problem e. If you played this game 100 times, how much would you expect to win or lose?

Can someone me with the property questions for 12 13 and 14 plz

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

The diagram shows a cuboid abcdefgh abcd is a square with area 25cm². find the volume of the cuboid.