For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, explain.
2 answers:
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Answer:
The value is
Step-by-step explanation:
From the question we are told that
The sample mean is
The sample size is n = 25
The standard deviation is
Given that the sample size is not large enough i.e n< 30 we will make use of the student t distribution table
From the question we are told the confidence level is 99.7% , hence the level of significance is
=>
Generally the degree of freedom is
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Generally from the student t distribution table the critical value of at a degree of freedom of
is
Generally the margin of error is mathematically represented as
=>
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Gnerally the upper control chart limit for 99.7% confidence is mathematically represented as
=>
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Answer:
Step-by-step explanation:
We have to take the derivatives for both functions and replace in the differential equation. Hence
for y=e^{-5x}:
for y=e^{6x}:
Now we replace in the differential equation y'' − y' − 30y = 0
for y=e^{-5x}:
for y=e^{6x}:
Now, to know if both function are linearly independent we calculate the Wronskian
I hope this is useful for you
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