Karin uses a probability simulator to pull colored pencils from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below: Color of Pencil Number of Times Pulled Green 24 Red 19 Yellow 17 Heads Tails 25 35 Using Karin's simulation, what is the probability of pulling a red pencil and the coin landing on tails?
fraction 578 over 3,600
fraction 665 over 3,600
fraction 35 over 60

Asequence {an} is defined recursively, with a1 = 1, a2 = 2 and, for n > 2, an = an-1 an-2 . find the term a241. a) 0 b) 1 c) 2 d) 1 2

Hiroaki wants to find 3 3/4 - 7/8 explain why he must rename 3 3/4 to do the subtraction.

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?