Answer:
97.6% of the trees will have diameters between 7.6 and 18.6 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12 inches
Standard Deviation, σ = 2.2 inches
We are given that the distribution of diameter of tree is a mound shaped distribution that is a normal distribution.
Formula:
P(diameters between 7.6 and 18.6 inches)
97.6% of the trees will have diameters between 7.6 and 18.6 inches.
We have a number .
To write it as a fraction first count the number of decimals and call it (which, in our case, has a value of 3). Multiply the number with
to get
. Then divide this number by
to get
from here you can either simplify (if the assignment says so, then the simplified fraction is
) or not.
Hope this helps.
The Height of the ceiling at the center is 57.6628 feet
In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.
It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.
The General form of ellipse is
According to the question,
Length of whispering gallery is 130 feet
The foci are located 30feet from the center (0,0)
So, 2a = 130
=> a = 130/2
=> a = 65
and c = 30
As we know ,
=> c² = a² - b²
=> (30)² = (65)² - b²
=> 900 = 4225 - b²
=> b² = 4225 - 900
=> b² = 3325
=> b = 57.7 feet
Therefore , the height of the ceiling at the center is 57.6628 feet
To know more about Ellipse here
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