Gotta be 40, since the sample probability of choosing a pink was 2/5, apply that to 100 chips and you get a predicted 40 pink chips in the bag
Answer:
Option C - Simplify the right side using the "difference of two logs is the log of the quotient" property.
Step-by-step explanation:
Given : Expression ![\ln (x-1)=\ln 6-\ln x](https://tex.z-dn.net/?f=%5Cln%20%28x-1%29%3D%5Cln%206-%5Cln%20x)
To find : What is the first step in solving the expression ?
Solution :
Expression ![\ln (x-1)=\ln 6-\ln x](https://tex.z-dn.net/?f=%5Cln%20%28x-1%29%3D%5Cln%206-%5Cln%20x)
Step 1 - Simplify the right side using the "difference of two logs is the log of the quotient" property.
i.e. ![\ln a-\ln b=\ln(\frac{a}{b})](https://tex.z-dn.net/?f=%5Cln%20a-%5Cln%20b%3D%5Cln%28%5Cfrac%7Ba%7D%7Bb%7D%29)
Apply the first step we get,
![\ln (x-1)=\ln(\frac{6}{x})](https://tex.z-dn.net/?f=%5Cln%20%28x-1%29%3D%5Cln%28%5Cfrac%7B6%7D%7Bx%7D%29)
Therefore, Option C is correct.
Step 1: Find the value of one variable in terms of the other.
![a+3b=7\\a=7-3b](https://tex.z-dn.net/?f=a%2B3b%3D7%5C%5Ca%3D7-3b)
Step 2: Substitute the value you just found for this variable in the other equation.
![3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}](https://tex.z-dn.net/?f=3a-2b%3D8%5C%5C3%287-3b%29-2b%3D8%5C%5C21-9b-2b%3D8%5C%5C21-11b%3D8%5C%5C21%3D8%2B11b%5C%5C13%3D11b%5C%5C%5Cfrac%7B13%7D%7B11%7D%3Db%5C%5C%20b%3D1%5Cfrac%7B2%7D%7B11%7D)
Step 3: Use your new value for the second variable to find the first.
![a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}](https://tex.z-dn.net/?f=a%2B3b%3D7%5C%5Ca%2B3%281%5Cfrac%7B2%7D%7B11%7D%29%3D7%5C%5Ca%2B3%5Cfrac%7B6%7D%7B11%7D%3D7%5C%5C%5C%5Ca%3D3%5Cfrac%7B5%7D%7B11%7D)
Now that we know the values for a and b we can find the value of 4a+b.
They are called powers of 10.
Answer:
(-2, -9)
explanation:
original coordinates of B: (7, 9)
use the formula: (x, y) ---> (x, -y)
- if reflects over x-axis new coordinates: (7, -9)
If horizontally shifted there will be change in x axis,
- new coordinates (7-9,-9) → (-2, -9)