11) A building casts a shadow of 100 feet. The angle of elevation from the end of the shadow to the top of the
1 answer:
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Answer:
Step-by-step explanation:
The missing figure is attached.
The volume of an oblique cylinders and the volume of a right cylinder can be found with this formula:
Where "r" is the radius and "h" is the height.
The volume of an oblique cone and the volume of a right cone can be found with this formula:
Where "r" is the radius and "h" is the height.
According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:
Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by .
Then, you get:
Answer:
(a) The value of P (X > 10) is 0.3679.
(b) The value of P (X > 20) is 0.1353.
(c) The value of P (X < 30) is 0.9502.
(d) The value of x is 30.
Step-by-step explanation:
The probability density function of an exponential distribution is:
The value of E (X) is 10.
The parameter λ is:
(a)
Compute the value of P (X > 10) as follows:
Thus, the value of P (X > 10) is 0.3679.
(b)
Compute the value of P (X > 20) as follows:
Thus, the value of P (X > 20) is 0.1353.
(c)
Compute the value of P (X < 30) as follows:
Thus, the value of P (X < 30) is 0.9502.
(d)
It is given that, P (X < x) = 0.95.
Compute the value of <em>x</em> as follows:
Take natural log on both sides.
Thus, the value of x is 30.