Consider the following analogy: you are a meat inspector for the county health department. for every batch of meat you inspect, you must decide whether to certify that the meat is safe for human consumption. suppose your null hypothesis is that the meat is unfit for human consumption. as in hypothesis testing, there are four possible outcomes of your decision:

(1) you do not certify the meat when the meat is unfit for human consumption,
(2) you certify the meat when the meat is unfit for human consumption,
(3) you do not certify the meat when the meat is safe, and
(4) you certify the meat when the meat is safe.

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?