These two triangles can be shown to be congruent using which transformation? a) reflection over the x-axis b) reflection over the y-axis c) translation right 4 units d) rotation of 180 degrees

This is B) A reflection over the y-axis.

Step-by-step explanation:

You can tell this in a picture due to the fact that each point on the corresponding triangle is equidistant from the y-axis. Take the point at the bottom for instance. In both pictures, it is 2 spaces away from the y axis.

60%

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