Answer:
(a)

(b)


Step-by-step explanation:
Given

Solving (a): The pmf
This means that we list out the probability of each value of x.
To do this, we simply subtract the current probability value from the next.
So, we have:

The calculation is as follows:





The x values are gotten by considering where the equality sign is in each range.
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Solving (b):

This is calculated as:

From the given function


So:



This is calculated as:




Slope-intercept:
y=mx+b
5x-y=9
5x=y+9
y+9=5x
y=5x-9
Slope-int: y=5x-9
You subtract the % that the sale is and take it away from 100%. You get 75% then take the original price and divide it by .75
In mathematics, the Laplace transform, named after its discoverer Pierre Simon Laplace, transforms a function of real variables (usually in the time domain) into a function of complex variables (in the time domain). is the integral transform that Complex frequency domain, also called S-area or S-plane).
Learn more about Laplace transform here brainly.com/question/17062586
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Answer:
-75
Step-by-step explanation:
Let us consider the first odd number to be 'x'.
Thus:
- 1st odd number: x
- 2nd odd number: x+2
- 3rd odd number: x+3
According to the question, the sum of these three consecutive ODD numbers should be equal to -219
So,
x + x + 2 + x + 4 = -219
3x + 6 = -219
3x = -225
x = -75