Answer:
The probability that 8 customers in the sample will return merchandise
Step-by-step explanation:
X = 15 , see photo for solutions
Answer:
![y = \frac{4}{3} x +1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20x%20%2B1)
Step-by-step explanation:
1: find the perpendicular gradient - this is the negative reciprocal of the original gradient:
![y=\frac{-3}{4}x+ 2 \\y=\frac{4}{3} x+c](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%7D%7B4%7Dx%2B%202%20%5C%5Cy%3D%5Cfrac%7B4%7D%7B3%7D%20x%2Bc)
2: Substitute in the coordinate to find the value of c:
![y=\frac{4}{3}x +c\\5 = \frac{4}{3} (3) + c\\5 = 4+c\\c=1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%20%2Bc%5C%5C5%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%283%29%20%2B%20c%5C%5C5%20%3D%204%2Bc%5C%5Cc%3D1)
3: Put it all together:
![y=\frac{4}{3}x+1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4%7D%7B3%7Dx%2B1)
The center is 3, -1 and the radius is 2 I believe.
Since the formula is (x-h) ^2 + (y-k) ^2 = r^2, the radius here is already squared so 2 would be the radius. The center would be the h and k and since the k is positive, that means it's negative as the sign has been flipped.
Hope this helps!