−x−4y+2z=
1 answer:
9514 1404 393
Answer:
(x, y, z) = (8, 0, 3)
Step-by-step explanation:
Maybe you want to solve the system of equations represented by the augmented matrix ...
Your graphing calculator can provide the solution for you:
(x, y, z) = (8, 0, 3)
_____
If you want to solve this by hand, it works reasonably well to make a plan based on the values of the coefficients. We notice only the y-coefficient differs in the first two equations, telling us that y=0. This immediately reduces the system to two equations in x and z. The x-coefficients are opposites, so we can easily eliminate x to find z.
You can subtract the first equation from the second to find the value of y.
(-x +3y +2z) -(-x -4y +2z) = (-2) -(-2)
7y = 0 ⇒ y = 0
Substituting for y in the first and third equations, you can add those together:
(-x +2z) +(x -4z) = (-2) +(-4)
-2z = -6 ⇒ z = 3
Substituting into the last equation gives ...
x -4(3) = -4 ⇒ x = 8
Then the solution is (x, y, z) = (8, 0, 3).
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Answer:
We conclude that the 8 % of calls result in a sale.
We conclude that the 5.3% of sales are made to women.
Step-by-step explanation:
We know that 70% of calls arc not completed (the party does not answer or refuses to talk), that 20% result in talking to a woman, and that 10% result in talking to a man. After that point, 30% of the women and 20% of the men actually buy something.
We calculate what percentage of calls result in a sale, and we get:
We conclude that the 8 % of calls result in a sale.
We know that the ratio of women to men talking on the telephone is 2:1.
We calculate a percent of sales are made to women, and we get:
We conclude that the 5.3% of sales are made to women.
