Aboard game is played as follows: a number cube numbered 1 to 6 is rolled. if the number 1 comes up, you get nothing. if the number 2, 3, or 5 comes up, you win 40 points. if the number 4 or 6 comes up, you lose 60 points. use the expected value to prove whether or not the game is fair. show all work for full credit. three or more sentences, !

What does x = in this equation x+3+2x=x+5

Write the equation in logarithmic form e^x=403.429

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.