PLEASE HELPThe product of two numbers is 165. Their difference is 4. What is the sum of the two numbers?

xy  =  165

x-y = 4

y = x - 4

x(x - 4) = 165

x² -4x - 165 = 0

(x - 15)(x + 11) = 0

x = 15, y = x - 4 = 11, x + y = 26

or

x = -11, y = x - 4 = -15, x + y = -26

We can't tell the sign, so we answer the sum is:

  ±26

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