Acoin is tossed n times and we count the number of tails m and the number of heads n-m. let the random variable y be the difference between the number of heads and the number of tails in the n tosses of a coin, i. e., y=(n-m)-m. assume p({h})= p. a) what are the possible values of y? b) find the probability of y=0 c) find the probability of y=2k. d) find the probability of y=2k+1. hint: your answers in parts b), c), d) should depend on whether n is even or odd

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)

The length and width of a rectangle are consecutive even integers the area of the rectangle is 120 squares units what are the length and width of the rectangle

Which equation expression the relationship between the number of boxes b and the number of cans c and the proportion is 48