Answer:
a) 0.8132 or 81.32%
b) 0.1868 or 18.68%
c) 0.6116 or 61.16%
d) 0.7667 minutes
e) 0.8667 minutes
f) 0.1 minutes
Step-by-step explanation:
a)
If f(x) = 0.85-0.35x (0<x<2) is the <em>PDF</em> and X is the random variable that measures the time it takes for a trainee to complete the task, the probability a trainee will complete the task in less than 1.31 minutes is P(X<1.31)
b)
The probability that a trainee will complete the task in more than 1.31 minutes is
P(X>1.31) = 1 - P(X<1.31) = 1 - 0.8132 = 0.1868
c)
The probability it will take a trainee between 0.25 minutes and 1.31 minutes to complete the task is P(0.25<X<1.31)
d)
the expected time it will take a trainee to complete the task
is<em> E(X)
</em>
e)
f)
Answer:
A. 251.33 cubic units
Step-by-step explanation:
volume of cone = (1/3) * area of base * height
Since your base is a circle, the area of the base is pi * r^2.
Now we have
volume of cone = (1/3) * pi * r^2 * h
volume of cone = (1/3) * 3.14159 * 4^2 * 15
volume of cone = 251.33 cubic units
Answer:
The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.
Step-by-step explanation:
The volume (), in cubic centimeters, and surface area (), in square centimeters, formulas for the candle are described below:
(1)
(2)
Where:
- Radius, in centimeters.
- Height, in centimeters.
By (1) we have an expression of the height in terms of the volume and the radius of the candle:
By substitution in (2) we get the following formula:
Then, we derive the formulas for the First and Second Derivative Tests:
First Derivative Test
There is just one result, since volume is a positive variable.
Second Derivative Test
If :
(which means that the critical value leads to a minimum)
If we know that , then the dimensions for the minimum amount of plastic are:
And the amount of plastic needed to cover the outside of the candle for packaging is:
The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.
Answer:
h(2)= -17
Step-by-step explanation:
Can you take a pic of it because it shows as copy and paste