Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of
2 answers:
To help with this problem, I have created a graph with these two lines with the slope and it will help you understand parallel lines.
To most students, parallel lines are lines that never cross each other.
In this problem however, it's important to think
about parallel lines in a different way.
Notice that the 2 parallel lines that I have
drawn have the same slope of 2/3.
As a rule, <em>parallel lines</em> will always have the <em>same slope</em>.
So if these lines are parallel,
they each have a slope of 2/3.
Check out the image I have made for you below.
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Answer:
Probability that average height would be shorter than 63 inches = 0.30854 .
Step-by-step explanation:
We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.
Also, a random sample of 4 women from this population is taken and their average height is computed.
Let X bar = Average height
The z score probability distribution for average height is given by;
Z = ~ N(0,1)
where, = population mean = 64 inches
= standard deviation = 4 inches
n = sample of women = 4
So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)
P(X bar < 63) = P( <
) = P(Z < -0.5) = 1 - P(Z <= 0.5)
= 1 - 0.69146 = 0.30854
Hence, it is 30.85% likely that average height would be shorter than 63 inches.