Which sequence of transformations could have been used to transform rectangle abcd to produce rectangle a"b"c"d" ? rectangle abcd was translated 2 units left and then 3 units down. rectangle abcd was rotated 180° around the origin and then translated 7 units down. rectangle abcd was reflected across the y-axis and then across the x-axis. rectangle abcd was translated 8 units left and then 7 units down.

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