Andrea has a yard shaped like parallelogram ABCD. The garden area, parallelogram EFGB, has an area of 105 ft2004-05-02-04-00_fil
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Answer:
The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.
Step-by-step explanation:
The confidence interval formula for mean difference for a paired data is as follows:
Here,
= sample mean of the difference,
= sample standard deviation of the difference,
<em>n </em>= sample size (both samples are of same size).
= critical value of <em>t</em>
(<em>n</em> - 1) = degrees of freedom
The information provided is:
<em>n</em> = 5
Confidence level = 95%
The critical value of <em>t</em> is:
*Use a <em>t</em>-table for the critical value of <em>t</em>.
Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.
Answer: Last option.
Step-by-step explanation:
Observe the diagram.
The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:
You know the lenght of the side WZ. This is:
Notice that:
Now, you must find the lenghts of the sides WX and YZ ()
Observe that WZ goes from 2 to -2, therefore its lenght is:
Therefore, substituting values, you get that the perimeter of the paralellogram is:
Answer:
Step-by-step explanation:
We have these following probabilities:
40% probability that the first file is corrupted. So 60% probability that the first file is not corrupted.
30% probability that the second file is corrupted. So 70% probability that the second file is not corrupted.
Probability mass function
Probability of each outcome(0, 1 and 2 files corrupted).
No files corrupted:
60% probability that the first file is not corrupted.
70% probability that the second file is not corrupted.
So
One file corrupted:
First one corrupted, second no.
40% probability that the first file is corrupted.
70% probability that the second file is not corrupted.
First one ok, second one corrupted.
60% probability that the first file is not corrupted.
30% probability that the second file is corrupted.
Two files corrupted:
40% probability that the first file is corrupted.
30% probability that the second file is corrupted.