One week a librarian kept track of whether returned books were returned on time or not, and whether they had fewer than 200 pages or they had 200 pages or more. the results are shown in the table.

what is the probability that a randomly selected book returned that week was returned on time, given that it had 200 pages or more?

returned on time

fewer than 200 pages—— 78

200 pages or more ——116

returned late

fewer than 200 pages
200 pages or more ——31

What is the least common factor of 6 and 8

Nikita wants to apply for student aid to fund her college education. arrange the steps involved in nikita’s application for financial aid

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?