The sum of two numbers is 38. the smaller number is 20 less than the larger number. what are the numbers?

x + y = 38

x - y = 20 Adding:-

2x = 58

x = 29

So y = 38 - 29 = 9

- the 2 numbers are 9 and 29.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

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