answer:
Simplifying Y2 + -20X + -6y + -51 = 0
Reorder the terms: -51 + -20X + Y2 + -6y = 0
Solving -51 + -20X + Y2 + -6y = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '51' to each side of the equation. -51 + -20X + Y2 + 51 + -6y = 0 + 51
Reorder the terms: -51 + 51 + -20X + Y2 + -6y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -20X + Y2 + -6y = 0 + 51 -20X + Y2 + -6y = 0 + 51
Combine like terms: 0 + 51 = 51 -20X + Y2 + -6y = 51
Add '-1Y2' to each side of the equation. -20X + Y2 + -1Y2 + -6y = 51 + -1Y2
Combine like terms: Y2 + -1Y2 = 0 -20X + 0 + -6y = 51 + -1Y2 -20X + -6y = 51 + -1Y2 Add '6y' to each side of the equation. -20X + -6y + 6y = 51 + -1Y2 + 6y Combine like terms: -6y + 6y = 0 -20X + 0 = 51 + -1Y2 + 6y -20X = 51 + -1Y2 + 6y Divide each side by '-20'. X = -2.55 + 0.05Y2 + -0.3y Simplifying X = -2.55 + 0.05Y2 + -0.3y
Answer:
catastrophic
Step-by-step explanation:
Cuz it means "destructive"
Answer: V(X) = 0.96
Step-by-step explanation: <u>Variance</u> is defined as the average of the squared difference from the sample or population mean.
For a discrete frequency distribution is calculated following the steps:
1) Determine expected value or mean:
E(X) = 1.2
2) Multiply frequency and the squared difference of x and expected value:
3) Add them:
![\Sigma [f(x-E(X))^{2}]](https://tex.z-dn.net/?f=%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D)
= 1008 + 36 + 384 + 972 = 2400
4) Divide the sum per frequency total:
![V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}](https://tex.z-dn.net/?f=V%28X%29%3D%5Cfrac%7B%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D%7D%7B%5CSigma%20f%7D)
V(X) = 0.96
The variance of the number of cups of coffee is <u>0.96</u>.
The functions of f(x) and g(x) are equivalent
