The correct answer would be 2y^5
The legnth is irrelivant
we know that
Circumference=2 times pi time radius
c=40
40=2 times pi times radius
divide both sides by 2
20=pi times radius
divide both sides b pi
20/pi=radius
the radius is 20/pi cm or aproximately 6.366199048 cm
The result of is
<h3>Composite functions</h3>
Composite functions are functions that are gotten by combining multiple functions
<h3>The functions</h3>
The functions are given as:
To calculate f(x) * g(x), we have:
Expand the above expression
Collect like terms
Evaluate the like terms
Hence, the result of is
Read more about composite functions at:
brainly.com/question/10687170
<span>Experimental probability; Theoretical probability; Law of Large Numbers ... You draw a marble out of the bag, record the color, and replace the marble. ... repeat the experiment many times, the results will getting closer to the theoretical value.</span>
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