As part of a study of corporate employees, the director of human resources for pnc, inc., wants to compare the distance traveled to work by employees at its office in downtown cincinnati with the distance for those in downtown pittsburgh. a sample of 35 cincinnati employees showed they travel a mean of 370 miles per month. a sample of 40 pittsburgh employees showed they travel a mean of 380 miles per month. the population standard deviation for the cincinnati and pittsburgh employees are 30 and 26 miles, respectively. at the .05 significance level, is there a difference in the mean number of miles traveled per month between cincinnati and pittsburgh employees? what is the p-value?

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)

Write the following as a base and exponent

If y varies directly as x2 and y=6 when x=6, find the constant of variation.