Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h
Volume of conical pile is given by formula
Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume
take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
The probability that the cube never lands on 3 is (D) 23.3%.
<h3>
What is probability?</h3>
- A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.
To find the probability that the cube never lands on 3:
Given -
Required
- Probability of not landing on 3.
First, we need to get the probability of landing on 3 in a single toss.
For a number cube,
- n(3) = 1 and n(total) = 6
So, the probability is P(3) = 1/6
First, we need to get the probability of not landing on 3 in a single toss.
Opposite probability = 1.
Make P(3') the subject of the formula.
- P(3') = 1 - P(3)
- P(3') = 1 - 1/6
- P(3') = 5/6
In 8 toss, the required probability is (P(3'))⁸
This gives:
- P = (5/6)⁸
- P = 390625/1679616
- P = 0.23256803936
Approximate to 1 decimal place, P = 23.3%.
Therefore, the probability that the cube never lands on 3 is (D) 23.3%.
Know more about probability here:
brainly.com/question/25870256
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The correct question is given below:
A number cube is tossed 8 times. What is the probability that the cube never lands on 3?
A. 6.0%
B. 10.4%
C. 16.7%
D. 23.3%
All except for h(x) are exponential growth because it is over 1
C.Playwrights can reveal characterization both directly and indirectly
Answer:
15 hours
Step-by-step explanation:
