Abreath analyzer, used by the police to test whether drivers exceed the legal limit for blood alcohol percentage while driving, is known to satisfy p ( a | b ) = p ( a c | b c ) = p where a is the event "breath analyzer indicates that legal limit is exceeded" and b is the event "driver's blood alcohol percentage exceeds legal limit." on saturday night, about 5% of all drivers are known to exceed the limit. if we want p ( b | a ) to equal 0.9, what value of p should we use, rounded to 4 decimal places? group of answer choices

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?