In the game of scrabble, each player begins by drawing 7 tiles from a bag containing 100 tiles. there are 42 vowels, 56 consonants, and 2 blank tiles in the bag. cait chooses her 7 tiles and is surprised to discover that all of them are vowels. we can use a simulation to see if this result is likely to happen by chance. in 1000 repetitions of the simulation, there were 2 times when all 7 tiles were vowels. what conclusion would you draw?

How do you solving the solution of each system using elimination?

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.

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?