Solve the system of equation and choose the correct ordered pair.! 2x-6y=8 5x-4y=31

The correct ordered pair is (7,1)

Step-by-step explanation:

The given system has equations:

We make x the subject in the first equation to get:

Put equation 3 into equation 2 to get:

Expand:

Put y=1 into equation 3 and solve for x.

The correct ordered pair is (7,1)

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