Consider a standard deck of 52 cards. You select one card at random and do not replace it. You shuffle the deck and then pick another card. If you are trying to find the probability that you pick a Red card first (denoted by R) and then a King card (denoted by K), which of the following probability statements is applicable for finding the probability?

a. P(R )P(K|R)
b. n(R AND K)/n(S)
c. P(R|K )P(K|R)
d. P(R )+P(K)-P(R n K)

Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = x h(x) = x

Solve the given system of equations. 2y= -x+9 , 3x-6= -15

Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels.ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0