Which of the following points is a solution to the system of equations shown? 4x + y = 1 y = x + 6

(-1,5)

Step-by-step explanation:

4x+(x+6)=1

5x+6=1

6x=-5

x=-1

then...    

y=-1+6

y=5  

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

total of apples - take away four

6-4 = 2

answer is 2 apples