You roll a die, winning nothing if the number of spots is odd, $1 for a 2 or a 4, and $9 for a 6. Round your answers to 3 decimal places.

(a) Find the expected value and standard deviation of your prospective winnings. The expected value is _ , the standard deviation is _.

b) You play twice. Find the mean of your total winnings.

The mean is:

Write the equations in logarithmic form 10^3=1,000

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?

Acircle has a radius of 12.6cm what is the exact length of an arc formed by a central angle measuring 120