Answer:
144=12², so 144^3/2=(12²)^(3/2)=12³=1728.
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M (Mean) = 20,500;
SD (Standard Deviation) = 55
1 ) 20,555 = 20,500 + 55 = M + 1 SD
Answer: 50% + 34.1% = 84.1%
2 ) 20.610 = 20,000 + 110 = M + 2 SD
Answer: 10% - ( 50% + 34.1% + 13.6% ) = 100% - 97.7% = 2.3%
3 ) 20,445 = 20,500 - 55 = M - 1 SD
Answer: 50% - 34.1% = 15.9%
60 miles because 2160 divided by 36 = 60
Answer: ![6\dfrac{3}{8}\text{ inches}](https://tex.z-dn.net/?f=6%5Cdfrac%7B3%7D%7B8%7D%5Ctext%7B%20inches%7D)
Step-by-step explanation:
Given: Original length =
inches
inches ( In improper fraction )
Length of piece cut from original =
inches
![=\dfrac{4\times8+3}{4}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B4%5Ctimes8%2B3%7D%7B4%7D)
inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
![=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B121%7D%7B8%7D-%5Cdfrac%7B35%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B121-2%5Ctimes35%7D%7B8%7D%5C%5C%5C%5C%3D%5Cdfrac%7B121-70%7D%7B8%7D%5C%5C%5C%5C%3D%5Cdfrac%7B51%7D%7B8%7D%5C%5C%5C%5C%3D6%5Cdfrac%7B3%7D%7B8%7D%5Ctext%7B%20inches%7D)
Hence, the leftover piece will be
long.