Answer:
Step-by-step explanation:
=> 78% makes:
=>
<u><em>In simplest form:</em></u>
=>
3x + 15 *
2 answers:
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The recursive formula for the arithmetic sequence is given as follows:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
In which is the first term.
The recursive formula for the sequence is given by:
In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:
Hence, the recursive sequence is given by:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
More can be learned about arithmetic sequences at brainly.com/question/6561461
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Answer:
If we compare the p value and a significance level for example we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.
Step-by-step explanation:
Data given and notation
represent the average lateral recumbency for the sample
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to apply a left tailed test.
What are H0 and Ha for this study?
Null hypothesis:
Alternative hypothesis :
Compute the test statistic
The statistic for this case is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
The degrees of freedom are given by:
Give the appropriate conclusion for the test
Since is a one side left tailed test the p value would be:
Conclusion
If we compare the p value and a significance level for example we see that
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean it's not significantly less than 20 min.