Acarnival game has the possibility of scoring 50 points, 75 points, or 150 points per turn. the probability of scoring 50 points is 60%, 75 points is 30%, and 150 points is 10%. the game operator designed a simulation using a random number generator to predict how many points would be earned for a turn. integer value points frequency 0 - 5 50 55 6 - 8 75 32 9 150 13 10. what is game’s expected value of points earned for a turn? (show work)

Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2

Asix-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. in the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times. the experimental probability of rolling a 3 is 10 %, which is approximately % more than its theoretical probability. (round off your answers to the nearest integer.)

Chosen according to the volume of oil it can haul, as shown in at a railway yard, locomotives are used to haul containers carrying the table. locomotive capacity a450 0 -750 cubic feet cg35 750-1,500 cubic feet br73 1,500-2,500 cubic feet yh61 2,500-3,500 cubic feet & the four cylindrical containers listed in the table need to be hauled. cylinder length (ft.) diameter (ft.) fill level a 40 , 12 half b 24 8 full c 16 16 full 6 12 full d match each container to the locomotive needed to haulit a450 cylinder a yh61 cylinder d