A snow cone shop owner is changing his traditional cone-shaped paper cups to cylindrical-shaped paper cups, as shown below. The
1 answer:
Answer:
three times
2
Step-by-step explanation:
Please find attached the image containing the complete question
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius = 3/2 = 1.5
h = height
the cylinder is 3 times the height of the cone
volume of the cone = (1/3) x (22/7) x 6 x (1.5^2) = 14.14
the volume of the cylinder would be 14.14. The height of the cylinder can be determined using this equation :
14.14 = 22/7 x (1.5^2) x h = 2
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Answer:
1/64
Step-by-step explanation:
The probability of landing on a 7 is 1/8.
The probability of landing on a 2 is 1/8.
Answer:
a)
Operating room x 1 2 3 4
P(x) 0.15 0.25 0.4 0.2
b)
The graph of probability distribution is in attached image.
c)
All the probabilities lies in the range (0 to 1) and the probabilities add up to 1 so, the computed probability distribution is the valid probability distribution.
Step-by-step explanation:
Number of operating rooms Days
1 3
2 5
3 8
4 4
a)
Sum of frequencies=1+2+3+4=10
Operating rooms x frequency f Relative frequency
1 3 3/20=0.15
2 5 5/20=0.25
3 8 8/20=0.4
4 4 4/20=0.2
So, using the relative frequency approach, a discrete probability distribution for number of operating rooms in use on any given day is
Operating room x 1 2 3 4
P(x) 0.15 0.25 0.4 0.2
b)
The graph of probability distribution is in attached image.
c)
There are two conditions for a probability distribution to be valid
1. All probability must ranges from 0 to 1.
2. All probabilities must add up to 1.
We can see that all the probabilities lies in the range (0 to 1), so, condition 1 is satisfied.
For condition 2,
sum[p(x)]= 0.15+0.25+0.4+0.2=0.4+0.6=1.
As the probabilities add up to 1, so the condition 2 is also satisfied.
Thus, the computed probability distribution is the valid probability distribution.
