George and Riley are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges.
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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
<u><em>Answer:</em></u>
Area of shaded region = 220.16 ft²
<u><em>Explanation:</em></u>
The diagram associated with this question is shown in the attached image
Unit in diagram is ft, so I'll use this unit in the answer
We are given that a circle with radius 16 ft is inscribed in a square
We know that the radius of an inscribed circle in a square is equivalent to half the length of the side of the square
<u>This means that:</u>
side length of the square = 2 × radius = 2 × 16 = 32 ft
<u>From the diagram, we can note that:</u>
area of shaded region = area of square - area of circle .............> equation I
<u>1- getting area of square:</u>
Area of a square is the square of its side length
<u>This means that:</u>
Area of square = (32)² = 1024 ft²
<u>2- getting the area of the circle:</u>
Area of circle = πr² = 3.14 × (16)² = 803.84 ft²
<u>3- getting area of shaded region:</u>
<u>Use equation I</u>
area of shaded region = area of square - area of circle
area of shaded region = 1024 - 803.84 = 220.16 ft²
Hope this helps :)
