2. Consider the following gambling game, based on the outcome of the total of 2 dice:
- if the total is a multiple of 3, you win $4
- if the total is 2, 4, 8 or 10, you win $1
- otherwise, you lose $2.
a. Find the expected value of this game.
b. Determine if it is a fair game.

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?

How can you check that you have correctly converted frequencies to relative frequencies?

Atotal of 505 tickets were sold for a school play they were either adult tickets or student tickets they were 55 more student tickets so than adult tickets how many adult tickets were sold ?