Aresearcher studying public opinion of proposed social security changes obtains a simple random sample of 50 adult americans and asks them whether or not they support the proposed changes. to say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult americans does the researcher need to sample in the following cases?

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?