Answer:
D
Step-by-step explanation:
Not much to do here but just convert it all to decimals
Answer:
Option (4)
Step-by-step explanation:
Table for the points from the graph attached,
x y
xy
2.2 1.8 4.84 3.24 3.96
3.2 1.8 10.24 3.24 5.76
3.6 3 12.96 9 10.8
4.8 3.5 23.04 12.25 16.8
5.2 6.2 27.04 38.44 32.24
6.4 4.5 40.96 20.25 28.8
7.5 7.8 56.25 60.84 58.5
8.5 6.2 72.25 38.44 52.7
![\sum x=41.4](https://tex.z-dn.net/?f=%5Csum%20x%3D41.4)
![\sum y=34.8](https://tex.z-dn.net/?f=%5Csum%20y%3D34.8)
![\sum x^2=247.58](https://tex.z-dn.net/?f=%5Csum%20x%5E2%3D247.58)
![\sum y^2=185.7](https://tex.z-dn.net/?f=%5Csum%20y%5E2%3D185.7)
![\sum xy=209.56](https://tex.z-dn.net/?f=%5Csum%20xy%3D209.56)
n = 8
Formula for the correlation coefficient ![r=\frac{n\sum xy-(\sum x)(\sum y)}{\sqrt{[{n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%5Csum%20xy-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5B%7Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%7D%7D%7D)
![r=\frac{8(209.56)-(41.4)(34.8)}{\sqrt{[{8(247.58)-(41.4)^2][8(185.7)-(34.8)^2]}}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B8%28209.56%29-%2841.4%29%2834.8%29%7D%7B%5Csqrt%7B%5B%7B8%28247.58%29-%2841.4%29%5E2%5D%5B8%28185.7%29-%2834.8%29%5E2%5D%7D%7D%7D)
r = ![\frac{1676.48-1440.72}{\sqrt{266.52\times 274.56} }](https://tex.z-dn.net/?f=%5Cfrac%7B1676.48-1440.72%7D%7B%5Csqrt%7B266.52%5Ctimes%20274.56%7D%20%7D)
r = ![\frac{235.76}{\sqrt{73175.73}}](https://tex.z-dn.net/?f=%5Cfrac%7B235.76%7D%7B%5Csqrt%7B73175.73%7D%7D)
r = ![\frac{235.76}{270.51}](https://tex.z-dn.net/?f=%5Cfrac%7B235.76%7D%7B270.51%7D)
r = 0.87
r ≈ 0.9
Therefore, Option (4) is the answer.
Answer:
Each property is mentioned with the corresponding expression.
Step-by-step explanation:
Writing the property in front of every expression:
1. Additive Identity: 11+0 = 11
2. Associative Property of Multiplication: x*(y*z) = (x*y)*z
3. Additive Identity: 8+(-8) = 0
4. Commutative property of Addition: 14+20=20+14
5. Multiplicative Inverse: 2*1/2 = 1
6. Multiplicative Identity : 22*1 = 22
7. Associative Property of Addition: (19+12)+8=19+(12+8)
8. Commutative Property of Multiplication: a*9=9*a
9. Distributive Property: 7(4+11) = 7(4)+7(11)
Answer:
The answer is 3.12
Step-by-step explanation:
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