The results of spinning a spinner with six equal sections are shown. Determine the minimum number of additional spins needed and their frequency of landing on each color so that the experimental probabilities will be equal to the theoretical probabilities. Explain your reasoning.

Color Frequency

Blue 8

Green 6

Orange 12

Purple 10

Red 8

Yellow 4

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?