Answer:
The combination is 15
Step-by-step explanation:
There are 6 people in a raffle drawing. two raffle winners each wing gift cards . each gift card is the same.
Lets call the winners Winner 1, Winner 2. According to the given statement each gift card is same, thus any permutation of these two winners are equivalent.This tells us that the order of winners does not matter and the situation involves a combination.
Now we have to calculate the combination of 2 winners from 6 people.
nCm = m!/n!(m-n)!
where m = 6
n = 2
2C6 = 6!/2!(6-2)!
2C6 = 6!/2!(4)!
2C6 = 6*5*4*3*2*1/2*1*4*3*2*1
2C6= 6*5/2*1
2C6=30/2
2C6 = 15
Thus the combination is 15....
Answer:
4
Step-by-step explanation:
The mean is the average of a data set. It can be found by adding up all of the values in a data set and then dividing it by the number of values in the data set.
The values in this data set;

The number of values in this data set,

Find the mean;


Answer:
Switch x and y, and solve for y

Step-by-step explanation:
Given

Required
Complete the steps to determine the inverse function
Solving (a): Complete the blanks
Switch x and y, and solve for y
Solving (b): Determine the inverse function
![f(x) = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Replace f(x) with y
![y = \sqrt[3]{8x} + 4](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B3%5D%7B8x%7D%20%2B%204)
Switch x and y
![x = \sqrt[3]{8y} + 4](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204)
<u>Now, we solve for y</u>
Subtract 4 from both sides
![x -4= \sqrt[3]{8y} + 4-4](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D%20%2B%204-4)
![x -4= \sqrt[3]{8y}](https://tex.z-dn.net/?f=x%20-4%3D%20%5Csqrt%5B3%5D%7B8y%7D)
Take cube roots of both sides

Divide both sides by 8

So, we have:

Hence, the inverse function is:

That’s the answer your welcome