Y is the midpoint of WZ. X is the midpoint of WY. XY = 14. What is
the length of wz

56

Step-by-step explanation:

First, I drew picture of a line containing points W and Z.

Next, I added a midpoint between W and Z and labelled it Y.

Next, I added a midpoint between W and Y and labelled it X.

It is given that XY = 14, so that means WX is also 14 (because X is the midpoint, these two distances have to the be the same)

Now I know WY is 28, which means YZ is also 28.

So WZ has to be 56.

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