The sum of two numbers is -5 , and the difference of the two numbers is -17 . what are the numbers? a. -11 and 6b. -11 and -6 c. 12 and -5d. 11 and -6e. -12 and 5

A

let the 2 numbers be x and y , then

x + y = - 5 ( sum of numbers )

x - y = - 17 ( difference of 2 numbers )

add the 2 equations term by term to eliminate y

2x = - 22 ( divide both sides by 2 )

x = - 11

substitute x = - 11 into x + y = -5 and solve for y

- 11 + y = - 5 ( add 11 to both sides )

y = - 5 + 11 = 6

The 2 numbers are - 11 and 6 → A

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

step-by-step explanation: