O Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American
Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1
minutes, calculate the probability that a randomly selected commuter spends for the following cases. Round the final
answers to at least four decimal places and Intermediate : -value calculations to two decimal places

less than 19 minutes commuting one way
P(X<19) -

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?