The answer is 8 3/4,hope Ive helped xx
Option C: np is the expression used for calculating the mean of a binomial distribution.
Explanation:
From the options, we need to determine the expression that is used for calculating the mean of a binomial distribution.
<u>Option A: npq</u>
The variance of the binomial distribution can be calculated using the expression npq.
Hence, Option A is not the correct answer.
<u>Option B: </u>
<u></u>
The standard deviation of the binomial distribution can be calculated using the expression 
Hence, Option B is not the correct answer.
<u>Option C: np</u>
The mean of the binomial distribution can be calculated using the expression np
Hence, Option C is the correct answer.
<u>Option D</u>: ![\sum\left[x^{2} \cdot P(x)\right]-\mu^{2}](https://tex.z-dn.net/?f=%5Csum%5Cleft%5Bx%5E%7B2%7D%20%5Ccdot%20P%28x%29%5Cright%5D-%5Cmu%5E%7B2%7D)
The mean of the binomial distribution cannot be determined using the expression ![\sum\left[x^{2} \cdot P(x)\right]-\mu^{2}](https://tex.z-dn.net/?f=%5Csum%5Cleft%5Bx%5E%7B2%7D%20%5Ccdot%20P%28x%29%5Cright%5D-%5Cmu%5E%7B2%7D)
Hence, Option D is not the correct answer.
If two angles are supplementary, then they add up to 180.
Angle 1 = twenty less than four times the other angle
Angle 2 = the other angle
Angle 2 = 1x
Angle 1 = 4x - 20
Next, we can add up angles 1 and 2 and set the sum equal to 180.
x + 4x - 20 = 180
5x - 20 = 180
5x = 200
x = 40
Now that we know x, we can find the values of our angles.
Angle 1 = 4(40) - 20 = 160 - 20 = 140 degrees
Angle 2 = 40 degrees
Hope this helps!! :)
Answer:
18
Step-by-step explanation:
367 167