Answer:
and
are parallel.
is neither parallel nor perpendicular.
Step-by-step explanation:
First, you have to simplify each equation in terms of y.

Your first equation is already in terms of x, so simplify your second equation.

Now you can simplify your third equation.

These are your three equations in terms of y:

Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.
Two parallel lines will have the exact same slope.
Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of
, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.
Your first two equations have the same slope and are therefore parallel.
Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.
The expected completion time is μ = 40 weeks.
The random variable, X = 38 weeks (the probable time)
If the standard deviation is σ, then the z-score is z = (x - μ)/σ.
Let us test the given standard deviations.
When σ=1,
z = (38-40)/1 = -2
From standard tables,
P(x<=38) = P(z<=-2) = 0.0228 =2.3%
When σ=2,
z = (38*40)/2 = -1
P(x<=38) = P(z<=-1) = 0.1587 = 15.9%
When σ=4,
z = (38-40)/4 = -0.5
P(x<=38) = P(z<=-0.5) = 0.3085 = 30.9%
Answers:
z=1 => 2.3%
z=2 => 16% (approx)
z=4 => 31% (approx)
Answer:
4,832 yards
Step-by-step explanation:
302x16=
0.125 the first one, even though im not sure.
Hello!
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The difference between the volume of the prism and volume of the storage container is 21.5 millimeters.
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WORK: 4.5*4.5*6=121.5
143-121.5=21.5
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Have a great day!