An archway is modeled by the equation y = -2x2 + 8x. a rod is to be placed across the archway at an angle defined by the equation x − 2.23y + 10.34 = 0. if the rod is attached to the archway at points a and b, such that point b is at a higher level than point a, at what distance from the ground level is point b?

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.)