Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations 4x-2y-5z=-51 4x-y-2z=-36

y=15-3z

x=-5.25-0.25z

Step-by-step explanation:

You are given the system of two equations with three variables:

Write the augmented matrix for this system of equations

Now,  find the reduced row-echelon form of the augmented matrix for this system of equations. Subtract the second row from the first row:

You get the system of two equations:

From the second equation

Substitute it into the first one:

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

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: