Answer:
Step-by-step explanation:
according to the question ur equation is
9y-8(a+b)
9y-8a-8b
Answer:
"With the high level of interest in our 45-70
Step-by-step explanation:
(4,-8)
Step-by-step explanation:
from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16
Answer:
0.14
Step-by-step explanation:
1/7 = 0.142
Since 2<5 the answer is 0.14.
Answer:
![S.D = 15.98](https://tex.z-dn.net/?f=S.D%20%3D%2015.98)
Step-by-step explanation:
Given: 76,45,64,80,92
Required: Determine the standard deviation
We start by calculating the mean
![Mean = \frac {\sum x}{n}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%20%7B%5Csum%20x%7D%7Bn%7D)
Where x-> 76,45,64,80,92 and n = 5
![Mean = \frac {76+45+64+80+92}{5}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%20%7B76%2B45%2B64%2B80%2B92%7D%7B5%7D)
![Mean = \frac{357}{5}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%7B357%7D%7B5%7D)
![Mean = 71.4](https://tex.z-dn.net/?f=Mean%20%3D%2071.4)
Subtract Mean (71.4) from each of the given data
![76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6](https://tex.z-dn.net/?f=76%20-%2071.4%20%3D%204.6%5C%5C45%20-%2071.4%20%3D%20-26.5%5C%5C64%20-%2071.4%20%3D%20-7.4%5C%5C80%20-%2071.4%20%3D%208.6%5C%5C92%20-%2071.4%20%3D%2020.6)
Determine the absolute value of the above result
![|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6](https://tex.z-dn.net/?f=%7C4.6%7C%20%3D%204.6%5C%5C%7C-26.5%7C%20%3D%2026.5%5C%5C%7C-7.4%7C%20%3D%207.4%5C%5C%7C8.6%7C%20%3D%208.6%5C%5C%7C20.6%7C%20%3D%2020.6)
Square Individual Result
![4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36](https://tex.z-dn.net/?f=4.6%5E2%20%3D%2021.16%20%5C%5C26.5%5E2%20%3D%20702.25%5C%5C7.4%5E2%20%3D%2054.76%5C%5C8.6%5E2%20%3D%2073.96%5C%5C20.6%5E2%20%3D%20424.36)
Calculate the mean of the above result to give the variance
![Mean = \frac {\sum x}{n}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%20%7B%5Csum%20x%7D%7Bn%7D)
![Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cfrac%7B21.16%20%2B%20702.25%20%2B%2054.76%20%2B%2073.96%20%2B%20424.36%7D%7B5%7D%5C%5CMean%20%3D%20%5Cfrac%7B1276.49%7D%7B5%7D%5C%5CMean%20%3D%20255.298)
Hence, Variance = 255.298
Standard Deviation is calculated by ![\sqrt{Var}](https://tex.z-dn.net/?f=%5Csqrt%7BVar%7D)
![SD = \sqrt{255.298}](https://tex.z-dn.net/?f=SD%20%3D%20%5Csqrt%7B255.298%7D)
![S.D = 15.9780474402](https://tex.z-dn.net/?f=S.D%20%3D%2015.9780474402)
![S.D = 15.98 (Approximated)](https://tex.z-dn.net/?f=S.D%20%3D%2015.98%20%28Approximated%29)