Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. to test if68% also represents california‘s percent for full-time faculty teaching the online classes, long beach city college (lbcc) incalifornia, was randomly selected for comparison. in the same year. 34 of the 44 online courses lbcc offered were taughtby full-time faculty. conduct a hypothesis test to determine if 68% represents california. note: for more accurate results. use more california community colleges and this past year's data.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?