Refer to the data set of 20 randomly selected presidents given below. treat the data as a sample and find the proportion of presidents who were taller than their opponents. use that result to construct a 95% confidence interval estimate of the population percentage. based on the result, does it appear that greater height is an advantage for presidential candidates? why or why not?

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?