Answer:
The height of the vase is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

we have



substitute and solve for h





Answer:
The width of pen A is 7 feet,
The Length of Pen A is 11 feet,
The width of Pen B is 6 feet,
The Length of Pen B is 12 feet
Step-by-step explanation:
The width of pen A is 7 feet,
The Length of Pen A is 7 + 4 = 11 feet,
The width of Pen B is 7+4-5 = 6 feet,
The Length of Pen B is 2*(7+4-5) = 12 feet

Answer: 0.79
Step-by-step explanation:
I will suppose that this is not a continuos probability, as the individual probabilites add up to 100%.
If you want to obtain the probability that x ≤ 0, then you need to add the probability for the cases x= 0, x = -1, x = -2 .... etc
This is:
x = 0, p = .16
x = -2, p = .33
x = -3, p = .13
x = -5, p = .17
Then, the probability where x takes a negative value or zero {-5, -3, -2, 0} is:
P = 0.16 + 0.33 + 0.13 + 0.17 = 0.79
Answer:

Step-by-step explanation:

Answer:
$ 1.2
Step-by-step explanation:
The first thing is to define the expected value of the ticket that would be the sum of the value for all event probabilities.
That is, if you buy 1 ticket, for each participant the probabilities are:
1. 1/1000 to get a $ 1,200 item
2. 999/1000 to get nothing ($ 0).
That is to say:
(1/1000) * $ 1200 + (999/1000) * $ 0 = (1/1000) * $ 1200 = $ 1.2
Therefore, the expected value is $ 1.2, this means that in reality each participant pays $ 0.8 more than the ticket is worth