When rolling a pair of dice, the roll should come up 11 once every 18 rolls, or 5.6% of the time. you decide to test this out, rolling 40 times a day every weekday, and using the weekend to analyze the data. as the table shows, with the exception of friday, every day you rolled either double the expected number of 11s, half the expected number of 11s or no 11s at all. yet the average for all the days is 5.5%, virtually identical with the theoretical number. how do you explain this? a) the errors in the four bad trials cancelled each other out. b) rolling dice is all luck; probability is simply not involved. c) experimental probability approaches theoretical probability when the number of trials is large. d) your knowledge of the expected probability influenced the eventual outcome of the experiment, changing the number of 11s you rolled on the last two days.

1. a driveway has a 15° grade. if the driveway is 40 meters long, how much does the driveway rise? (nearest tenth of a meter) 2. a person located 4 miles from a rocket launch site sees a rocket at an angle of elevation of 32°. at that moment, how high is the rocket above the ground? (nearest tenth of a mile) 3.an airplane approaches an airport landing strip with an angle of depression of 12°. if the airplane is flying at an altitude of 20,000 feet, find the distance on the ground that the plane will need to land. (nearest 1,000 feet) 4.two buildings are located on opposite sides of the street, 40 meters apart. the angle of elevation from the top of the shorter building to the top of the taller building is 53°. if the taller building is 300 meters tall, what is the height of the shorter building? (nearest meter) 5.george is 187 cm tall. his son, ralph, is 142 cm tall. who casts the longer shadow. george when the sun is 65° above the horizon, or ralph when the sun is 56° above the horizon? how much longer? (nearest centimeter)

Find the x coordinate of the point.

Can you simplify 4/7? 24 points will be awarded!