Answer: y=2x-3
Step-by-step explanation:
divide both sides by 7
7y/7=(14x-21)/7
y=2x-3
The moment generating function (mgf) of y is given by

Since the momoent generating function of x is given by

When p tends to 0, we have

Applying L'Hopital's rule we have:

This shows that y converges to <span>a chi squared random variable with 2r degrees of freedom</span>.
Answer:
All work is shown and pictured
Answer:
$90.00
Step-by-step explanation:
Given
--- base fee
--- rate
--- individuals
Required
Determine the total amount paid (y)
The relationship between the variables is:


This gives:



<em>Hence, the amount is $90.00</em>
The area of this shape is 20 unit².
<h3>What is the area of the shape?</h3>
The total number of unit squares in the shape is the area of the shape.
Given in the figure:
The number of complete squares in the shape = 12
The number of squares more than half in the shape = 8
The total number of squares in the shape = 12 + 8 = 20
Area of the 1 square = 1 unit × 1 unit = 1 unit²
Area of 20 squares = 20 × 1 unit = 20 unit²
Approximate area of the shape = 20 unit²
Therefore, the area of the given shape is 20 unit².
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