Answer:
A. 0.4880
Step-by-step explanation:
First, find the z-score:
z = (x − μ) / σ
z = (13.5 − 13.56) / 2.24
z = -0.03
Using a z-score table:
P(z < -0.03) = 0.4880
ANSWER
Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
To proof
let us assume that the fluid should be drained and replaced with pure antifreeze be x .
As given
A radiator contains 10 quarts of fluid, 30% of which is antifreeze.
Now write 30% in the decimal form

Now write 60% in the decimal form

After drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )
The quantity of antifreeze is

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
than the equation becomes

solyving
100x +300 - 30x = 600
70x = 300

x = 4.28 quarts (approx)
Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .
Therefore the option (c.) is correct .
Answer:
x=-11, y=0. (-11, 0).
Step-by-step explanation:
x-12y=-11
x-y=-11
-------------
x=y+(-11)
x=y-11
y-11-12y=-11
-11y=-11+11
-11y=0
y=0/-11=0
x-0=-11
x=-11+0=-11
When you solve this equation, you can plug in 2x + 10 for y, so you would have 2x + 10 = 2x +4. When you solve for x, you notice that you end up getting 10 = 4, which is impossible!
There are NO solutions for this, because 10 will never equal 4.
The slope of the first line is 2.
The slop of the second line is also 2.
The lines ARE parallel- they have the same slope!
They do not have the same y-intercept, one of them crosses at y=4, and the other crosses at y=10.
Since the lines are parallel, they will never cross, which is why there are no solutions for this equation.
Hope this helps! :)