What is the arc measure of YZ in degrees

59°

Step-by-step explanation:

First we find the value of remembering that the angle that is formed in a straight line (in the diameter of the circle) is 180 °, so the sum :

must be equal to 180°:

and we add the two terms with w:

we move the +4 in the left as a -4 to the right side:

and next we divide by 16:

And now that we know the value of , we can find the measure of the arc YZ:

substituting

The measure of YZ is 59°

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