It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used antidepressants. It is also estimated that 20% of all adults both visited a therapist and used a antidepressant during the past year. (a) What is the probability that an adult visited a therapist during the past year, given that
he or she used antidepressants? Round your answer to the nearest hundredth

(b) What is the probability that a randomly selected adult who visited a therapist during the
past year also used antidepressants? Round your answer to the nearest hundredth.

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 difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.

If log_3(x)=4.5 and log_3(y)=3, what is log_3(x^2/y)? a. 3b. 6.75c. 6d. 1.5