A tournament is set up so that only one-fourth of the players are eliminated in every round. The number of players remaining, y, can be written as a function of the number of rounds, x, in the tournament, given the starting value of the number of players, a, like so: y=a(1−0.25)^x or y=a(0.75)^x. If Latavius is running the tournament and needs to determine the number of rounds before a certain number of players remain, he needs to rearrange the formula to be written so that x is in terms of y.

Which steps should Latavius follow to do that?

Match each step with the action that should be taken in that step.

Step 1

Step 2

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

the answer is a.

step-by-step explanation:

in three games of golf, alex shot two under par four times.