The graph shows a proportional relationship.What is the unit rate? Enter your answer as an improper fraction in simplest form in
the box.
1 answer:
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we know the circle's center is at -7, -1, and we know the circle itself passes through 8,7, the distance from the center to a point on it is by definition its radius, therefore
and since we know that x = -15 for such a point, then
since it's a circle, it touches x = -15 twice, check the picture below.
The 85th percentile is the cutoff time 
such that
In other words, the 85th percentile refers to the time needed to belong to the top 15% of the distribution; more generally, the
percentile is the top 
of the distribution.
Anyway, to find this value of, transform 
to a random variable 
with the standard normal distribution using
where
is the mean of and 
is the standard deviation of .
Here
is used to denote the z-score corresponding to the cutoff time . Referring to a z-score table, you find that this occurs for 
. So,
In other words, the 85th percentile refers to the time needed to belong to the top 15% of the distribution; more generally, the
Anyway, to find this value of
where
Here