Hugo took these steps to solve the system of equations.

2 x minus 3 y = negative 11. 3 x + 2 y = negative 5.

step 1 4 x minus 6 y = negative 11. 9 x + 6 y = negative 15.
step 2 13 x = negative 26
step 3 x = negative 2
step 4 3 (negative 2) + 2 y = negative 5. negative 6 + 2 y = negative 5. 2 y = 1. y = one-half.
step 5 the solution is (negative 2, one-half).

is hugo’s solution to the system of equations correct? explain why or why not.
yes, hugo’s solution is correct.
no, hugo should have gotten positive 2 in step three.
no, hugo forgot to multiply both sides of the first equation in step one.
no, hugo should have subtracted the equations instead of adding them in step 2.

 C ) No, Hugo forgot to multiply both sides of the first equation in step one.

Step-by-step explanation:

college

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