Answer:
c) (x +2)
e) ( 5 x -2)
Step-by-step explanation:
<em><u>Explanation</u></em>:-
Given equation 5 x² + 8 x – 4
The factors of - 20 = 10 × - 2
⇒ 5 x ² + 10 x - 2 x - 4
⇒ 5 x ( x + 2) - 2 ( x + 2)
⇒ (5 x - 2 ) ( x + 2)
The multiplies of given equation
5 x² + 8 x – 4 = (5 x - 2 ) ( x + 2)
I hope this helps you
-2.03+1.6
-0.43
10.75 is the radius for cylinder
Answer:
(a): Marginal pmf of x


(b): Marginal pmf of y


(c): Mean and Variance of x


(d): Mean and Variance of y


(e): The covariance and the coefficient of correlation

Step-by-step explanation:
Given
<em>x = bottles</em>
<em>y = carton</em>
<em>See attachment for complete question</em>
<em />
Solving (a): Marginal pmf of x
This is calculated as:

So:






Solving (b): Marginal pmf of y
This is calculated as:

So:






Solving (c): Mean and Variance of x
Mean is calculated as:

So, we have:




Variance is calculated as:

Calculate 




So:




Solving (d): Mean and Variance of y
Mean is calculated as:

So, we have:




Variance is calculated as:

Calculate 




So:




Solving (e): The covariance and the coefficient of correlation
Covariance is calculated as:

Calculate E(xy)

This gives:




So:




The coefficient of correlation is then calculated as:





--- approximated