The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $200. The data se
t has a bell-shaped distribution. Assume the number of farms in the sample is 74.
(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.
(a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.
1 answer:
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Answer:
Part 1)
Part 2)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so
we have that the base and the height of triangle is equal to the radius of the circle
substitute
simplify
Factor 36
Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to
substitute the given values
Applying the Pythagorean Theorem
The hypotenuse of right triangle is equal to
simplify
Find the perimeter
simplify
Factor 6
