Answer:
x=8
Step-by-step explanation:
Volume of Cylinder =
![\pi r^{2}h](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E%7B2%7Dh)
Based on what we're told:
r (radius) =
![\frac{s}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bs%7D%7B2%7D%20)
h (height) =
![s](https://tex.z-dn.net/?f=s)
So:
Volume of cylinder =
![\pi (\frac{s}{2})^{2}(s)](https://tex.z-dn.net/?f=%20%5Cpi%20%28%5Cfrac%7Bs%7D%7B2%7D%29%5E%7B2%7D%28s%29)
=
Answer:
![P(Pink) = \frac{1}{4}](https://tex.z-dn.net/?f=P%28Pink%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
![P(Both\ Black) = \frac{9}{16}](https://tex.z-dn.net/?f=P%28Both%5C%20Black%29%20%20%3D%20%5Cfrac%7B9%7D%7B16%7D)
--- Two pink and One black
Step-by-step explanation:
Represent the pink skin with P and the black skin with B.
Since black skin is dominant to pink skin, there will be more occurrence of B than P
The punnet square for the breeding of the two pigs is then represented as:
![\begin{array}{cc} {B} & {B} \ \\ {B} & {P} \ \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7D%20%7BB%7D%20%26%20%7BB%7D%20%5C%20%5C%5C%20%7BB%7D%20%26%20%7BP%7D%20%5C%20%5C%20%5Cend%7Barray%7D)
Solving (a): Probability of Pink
In the above square, there is only 1 occurrence of P out of a possible of 4.
So, the probability is:
![P(Pink) = \frac{n(P)}{4}](https://tex.z-dn.net/?f=P%28Pink%29%20%3D%20%5Cfrac%7Bn%28P%29%7D%7B4%7D)
![P(Pink) = \frac{1}{4}](https://tex.z-dn.net/?f=P%28Pink%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
Solving (b): Probability that first and second are black
In the above square, there is only 3 occurrence of B out of a possible of 4.
![P(Black) = \frac{n(B)}{4}](https://tex.z-dn.net/?f=P%28Black%29%20%3D%20%5Cfrac%7Bn%28B%29%7D%7B4%7D)
![P(Black) = \frac{3}{4}](https://tex.z-dn.net/?f=P%28Black%29%20%3D%20%5Cfrac%7B3%7D%7B4%7D)
So, the probability that both are black is:
![P(Both\ Black) = P(Black) * P(Black)](https://tex.z-dn.net/?f=P%28Both%5C%20Black%29%20%3D%20P%28Black%29%20%2A%20P%28Black%29)
![P(Both\ Black) = \frac{3}{4} * \frac{3}{4}](https://tex.z-dn.net/?f=P%28Both%5C%20Black%29%20%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D)
![P(Both\ Black) = \frac{9}{16}](https://tex.z-dn.net/?f=P%28Both%5C%20Black%29%20%20%3D%20%5Cfrac%7B9%7D%7B16%7D)
Solving (c): Probability of two pink and 1 black
This is calculated as:
![Probability = P(Pink) * P(Pink) * P(Black)](https://tex.z-dn.net/?f=Probability%20%3D%20P%28Pink%29%20%2A%20P%28Pink%29%20%2A%20P%28Black%29)
![Probability = \frac{1}{4} * \frac{1}{4} * \frac{3}{4}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D)
![Probability = \frac{3}{64}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B3%7D%7B64%7D)
Answer:
100 times stronger
Step-by-step explanation:
The Richter scale is a measurement system for the strength of Earthquakes. The most powerful Earthquakes are at 5-10, while the least powerful ones stay from 1-4.
This is how the Richter scale works:
An earthquake with a magnitude of 2 is 10 times more powerful than an earthquake with a magnitude of 1. Each number is 10 times more powerful than the last.
So, simple math tells us that Magnitude six is 10 times more powerful than magnitude five, and magnitude seven is 100 times more powerful than magnitude 5..
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