The probability that you will not choose a blue marble is 28/45.
Answer:
There is a linear correlation between the chest size and weight
Proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 .
Step-by-step explanation:
Null Hypothesis:
= There is no linear correlation between the chest size and weight
Alternative Hypothesis :
=There is a linear correlation between the chest size and weight
The value of the linear correlation coefficient is r=0.882.
n = 8
Formula : ![t=\frac{r\sqrt{n-2}}{\sqrt{1-r^2}}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Br%5Csqrt%7Bn-2%7D%7D%7B%5Csqrt%7B1-r%5E2%7D%7D)
![t=\frac{0.882\sqrt{8-2}}{\sqrt{1-(0.882)^2}}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B0.882%5Csqrt%7B8-2%7D%7D%7B%5Csqrt%7B1-%280.882%29%5E2%7D%7D)
![t=4.584](https://tex.z-dn.net/?f=t%3D4.584)
Degree of freedom = n-1 = 8-1 = 7
α =0.05
so, p value is 2.365
t calculated > t critical
So, we reject the null hypothesis
So, There is a linear correlation between the chest size and weight
The proportion of the variation in weight can be explained by the linear relationship between weight and chest size = ![r^2 = (0.082)^2=0.006724](https://tex.z-dn.net/?f=r%5E2%20%3D%20%280.082%29%5E2%3D0.006724)
Hence proportion of the variation in weight can be explained by the linear relationship between weight and chest size is 0.006724 and There is a linear correlation between the chest size and weight
X - y = 4
-y = -x + 4
-y ÷ -1 = (-x ÷ -1) + (4 ÷ -1)
y = x - 4 (y equals the entire ending equation)
___________________
x - 2y = 10
-2y = -x + 10
-2y / -2 = (-x ÷ -2) + (10 ÷ -2)
y = 0.5x + -5 (y equals the entire ending equation)
x doesn't have an equality on these kinds of equations
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![30( \frac{1}{2} x - 2) + 40( \frac{3}{4} y - 4) = \\](https://tex.z-dn.net/?f=30%28%20%5Cfrac%7B1%7D%7B2%7D%20x%20-%202%29%20%2B%2040%28%20%5Cfrac%7B3%7D%7B4%7D%20y%20-%204%29%20%3D%20%20%5C%5C%20)
![(30 \times \frac{1}{2} x) -( 30 \times 2 )+ (40 \times \frac{3}{4} y )- (40 \times 4 )= \\](https://tex.z-dn.net/?f=%2830%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B2%7D%20x%29%20-%28%2030%20%5Ctimes%202%20%29%2B%20%2840%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%20y%20%29-%20%2840%20%5Ctimes%204%20%29%3D%20%20%5C%5C%20)
![15x - 60 + 30y - 160 = \\](https://tex.z-dn.net/?f=15x%20-%2060%20%2B%2030y%20-%20160%20%3D%20%20%5C%5C%20)
![15x + 30y - 220](https://tex.z-dn.net/?f=15x%20%2B%2030y%20-%20220)
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The correct answer is Option Three .
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Answer: 24, B
Step-by-step explanation: 12x2= 24, -6x0=0, which leaves you with 24.