Answer: 48
Step-by-step explanation: All you are doing is substituting x and y with the numbers it gives u then u just solve. 2 to the 4th power is 16. 4 to the 3rd power is 64 and then times .5 gives u 32. then u add and get 16+32=48
A. 200
B is 80° which means AC = 160°
A circle always equals 360°
360-160= 200
Your final answer should be 157/210.
Answer:
The answer to the chart is y=x-1
Given: The given function is

To find: Here we need to find the value of c for which f(x,y) will be a joint
discrete probability density function.
Solution:
Now, to find c we have,
![\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\](https://tex.z-dn.net/?f=%5Cint%5Climits%5E3_%7B-2%7D%20%5C%2C%5Cint%5Climits%5E2_0%20%7Bf%28x%2Cy%29%7D%20%5C%2C%20dx%20dy%5C%5C%3D%5Cint%5Climits%5E3_%7B-2%7D%20%5C%2C%5Cint%5Climits%5E2_0%20%7Bc%28x-y%29%7D%20%5C%2C%20dx%20dy%5C%5C%5C%5C%3D%5Cint%5Climits%5E3_%7B-2%7D%20%5C%2C%5B2c-2cy%5Ddy%5C%5C%3D10c-5c%5C%5C%3D5c%5C%5CThe%20integral%20should%20be1.%5C%5CSo%2C%205c%3D1%5C%5C)
∴
Therefore, the required value of c is 1/5.