Answer:
![\displaystyle y-5=-\frac{10}{9}(x+6)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-5%3D-%5Cfrac%7B10%7D%7B9%7D%28x%2B6%29)
Or:
![\displaystyle y+5=-\frac{10}{9}(x-3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%2B5%3D-%5Cfrac%7B10%7D%7B9%7D%28x-3%29)
Step-by-step explanation:
We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.
Point-slope form is given by:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Thus, first, we need to find the slope. We can use the slope formula:
![\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%3D%5Cfrac%7B%28-5%29-%285%29%7D%7B%283%29-%28-6%29%7D%3D%5Cfrac%7B-10%7D%7B9%7D%3D-%5Cfrac%7B10%7D%7B9%7D)
Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (<em>x₁, y₁</em>). Substitute:
![\displaystyle y-(5)=-\frac{10}{9}(x-(-6))](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-%285%29%3D-%5Cfrac%7B10%7D%7B9%7D%28x-%28-6%29%29)
Or, fully simplified:
![\displaystyle y-5=\frac{-10}{9}(x+6)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-5%3D%5Cfrac%7B-10%7D%7B9%7D%28x%2B6%29)
Using the other point, we will acquire:
![\displaystyle y-(-5)=-\frac{10}{9}(x-(3))](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-%28-5%29%3D-%5Cfrac%7B10%7D%7B9%7D%28x-%283%29%29)
Or, simplified:
![\displaystyle y+5=-\frac{10}{9}(x-3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%2B5%3D-%5Cfrac%7B10%7D%7B9%7D%28x-3%29)
Answer:
The answer is c.) 0.6 and 0.14
Step-by-step explanation:
Given population has a size of 320.
The proportion of population = 0.6
The mean of population, p = 0.6
The mean of sample,
= 0.6
Therefore
= 1 -
= 1 - 0.6 = 0.4
The sample size = 12
Therefore the standard deviation of the sample,
![s = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n} } = \sqrt{\frac{0.6 \times 0.4}{12} } = 0.1414](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281%20-%20%5Chat%7Bp%7D%29%7D%7Bn%7D%20%7D%20%20%3D%20%5Csqrt%7B%5Cfrac%7B0.6%20%5Ctimes%200.4%7D%7B12%7D%20%7D%20%20%3D%200.1414)
The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.
The answer is c.) 0.6 and 0.14
Answer:
2.08
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
X is equal to One so that is why slope 1 and -3
Four 1+1+1+1=4 1+1=2 2+2=4!!!!!!