The difference in volumes between cube and cone is 5190.52 cubic units.
<h3>How to find the volume of a cube?</h3>
Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
The height is 20 cm and the radius will be
volume of that cone
= 
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
Learn more about the volume of a cube here:
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Answer:
The range is:
(−∞,1]
Step-by-step explanation:
:
The domain of
f(x)is R
So for every x that you put in the function, y≤1 that means is the upper bound of the function.
Answer:
A
Step-by-step explanation:
Henry's balloon started at 10 miles but tasha started at 15 and Henry's travelled at 7 mph but tashas travels at 6mph
Answer: k1=-13/6 k2=19/6
to solve, move the constant to the right to get |3/10 - 3/5k| -0.4=1.2
next calculate to get |3/10 - 3/5k| 1.6
then separate into two equations to get |3/10 - 3/5k| 1.6
|3/10 - 3/5k| 1.6
then solve to get: k1=-13/6 k2=19/6
Answer:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
is the Euler number
is the mean in the given time interval.
The problem states that:
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.
To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.
There are 5 weekdays, with a mean of 0.1 calls per day.
The weekend is 2 days long, with a mean of 0.2 calls per day.
So:
If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?
This is 
. So:
There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.
