1/3 is equivalent to 2/6
If you know (2) goes into both, 2 and 6, you can divide 2 into the top and bottom number and get 1/3
Because It is quicker and fast.
Sampling:
Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.
Sampling is the selection of a subset of the population of interest in a research study. In the vast majority of research endeavors, the participation of an entire population of interest is not possible, so a smaller group is relied upon for data collection.
Learn more about Sampling on:
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Total fruit: 6 + 4 +2 = 12
Probability of Picking a banana is 6/12 = 1/2
Probability pf picking apple is 4/12 = 1/3
Probability of picking orange is 2/12 / 1/6
Picking an orange = 1/6
3 + x/2 = 7
x = (7-3)*2 = 8 = the number
Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:
![V=\frac{s^2h}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bs%5E2h%7D%7B3%7D)
Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:
![a^2=b^2+c^2](https://tex.z-dn.net/?f=a%5E2%3Db%5E2%2Bc%5E2)
Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:
![a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h](https://tex.z-dn.net/?f=a%3D26mm%5C%5C%5C%5Cb%3D%5Cfrac%7B23mm%7D%7B2%7D%3D11.5mm%5C%5C%5C%5Cc%3Dh)
Then, you can find the height:
![(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm](https://tex.z-dn.net/?f=%2826mm%29%5E2%3D%2811.5mm%29%5E2%2Bh%5E2%5C%5C%5C%5Ch%3D%5Csqrt%7B%2826mm%29%5E2-%2811.5mm%29%5E2%7D%5C%5C%5C%5Ch%3D23.318mm)
Then, knowing that:
![s=23mm\\h=23.318mm](https://tex.z-dn.net/?f=s%3D23mm%5C%5Ch%3D23.318mm)
You can calculate the volume:
![V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B%2823mm%29%5E2%2823.318mm%29%7D%7B3%7D%3D4%2C111.7mm%5E3)