We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as
(4/5)/(s+4) + (1/5)/(s-1)
which can be found in a table of transforms to be the transform of
(4/5)e^(-4t) + (1/5)e^t
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There are a number of ways to determine the partial fractions. They all start with factoring the denominator.
s^2 +3x -4 = (s+4)(s-1)
After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:
A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)
This gives rise to two equations:
(A+B) = 1
(4B-A) = 0
Answer:
Option D) $275
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $235
Standard Deviation, σ = $20
We are given that the distribution of amount of money spent by students is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.975
Calculation the value from standard normal z table, we have,
Approximately 97.5% of the students spent below $275 on textbook.
You can not put a decimal to a decimal.So you meant to put a decimal to a fraction and the answer would be: 4.26 as decimal fraction = 426/100
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