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>
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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.
√180 x 2√30
√36 x 5 x 2√30
6√5 x 2√30
12√5 x √30
12√5 x 30
12√150
12√25 x 6
12 x 5√6
60√6
The answer is y = -7x
Expalnation
Two points on the table are (0,0) and (1,-7)
Change in y = -7-0 = -7
Change in x = 1-0 = 1
Slope m of the function = -7/1= -7
Using y= mx + c
Picking point (0,0), x = 0, y = 0
y = mx + c becomes
0 = -7(0) + c
0 = 0 + c
c= 0
Hence, the equation is y = -7x + 0
which is y = -7x
Option b is the correct answer