Answer: 2/4 simplified to 1/2
Step-by-step explanation:
Answer:
or ![\frac{9}{78}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B78%7D)
(see explanation)
Step-by-step explanation:
This problem is asking about compound probability, what is the probability of this even happening three times in a row.
Since there are 20 boy's names and 20 girl's names in the hat, one can say that half of the names in the hat. Assume that after drawing it from the hat, the name is put back into the hat. Therefore, on each night, there is a half-chance of the event happening. To find the probability of the event, one must multiply (
) by itself (3) times,
![(\frac{1}{2})(\frac{1}{2})(\frac{1}{2})\\=\frac{1}{8}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%28%5Cfrac%7B1%7D%7B2%7D%29%28%5Cfrac%7B1%7D%7B2%7D%29%5C%5C%3D%5Cfrac%7B1%7D%7B8%7D)
In this case, assume that after each drawing the name is not replaced into the hat. This means that after every draw, one must subtract (1) from both the numerator and denominator of the fraction when the fraction is in the un-simplified form.
![(\frac{1}{2})(\frac{19}{39})(\frac{18}{38})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%28%5Cfrac%7B19%7D%7B39%7D%29%28%5Cfrac%7B18%7D%7B38%7D%29)
Simplify,
![(\frac{1}{2})(\frac{19}{39})(\frac{9}{19})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%28%5Cfrac%7B19%7D%7B39%7D%29%28%5Cfrac%7B9%7D%7B19%7D%29)
![\frac{9}{78}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B78%7D)
The third answer has a y-intercept of 4.
Answer:
72 inches
Step-by-step explanation:
We are given that
Length of rectangle=423 inches
Width of rectangle=360 inches
We have to find the side length of the largest square they can use to fill the checkboard pattern completely without overlap or gaps with the help of Euclid's algorithm.
In order to find the largest side of square we will find HCF (432,360).
Euclid's algorithm
![a=bq+r](https://tex.z-dn.net/?f=a%3Dbq%2Br)
a=dividend
b=divisor
q=quotient
r=remainder
a=432,b=360
![432=360\times 1+72](https://tex.z-dn.net/?f=432%3D360%5Ctimes%201%2B72)
![360=72\times 5+0](https://tex.z-dn.net/?f=360%3D72%5Ctimes%205%2B0)
HCF(432,360)=72
Hence, the side of largest square=72 inches
Maybe idk number???? i think that's maybe what n means??
but i'm not sure kk? anyways dont confused yourself....it may just be a variable!