In a group of 200 students, 100 are taking Geometry, 60 are taking IPC and 5 are taking both Geometry and IPC. If a student, chosen at random, is taking Geometry, what is the probability that he or she is taking IPC? a) 0.025
b) 0.05
c) 0.031
d) 0.083

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?