What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the ang
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Answer:
89.01% probability that a flight arrives on time given that it departed on time.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Departing on time
Event B: Arriving on time.
The probability that a flight departs and arrives on time is 0.81.
This means that
The probability that an airplane flight departs on time is 0.91.
This means that
Find the probability that a flight arrives on time given that it departed on time.
89.01% probability that a flight arrives on time given that it departed on time.
Answer:
The 95% confidence interval is (135.0285 degrees, 189.9715 degrees).
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which s is the standard deviation of the sample. So
The lower end of the interval is the mean subtracted by M. So it is 162.5 - 27.4715 = 135.0285 degrees
The upper end of the interval is the mean added to M. So it is 162.5 + 27.4715 = 189.9715 degrees
The 95% confidence interval is (135.0285 degrees, 189.9715 degrees).