Quadrilateral STWR is inscribed inside a circle as shown below. Write a proof showing that angles T and R are supplementary.
1 answer:
Observe the given figure.
Here, angle T and R are the inscribed angles.
And sum of inscribed angles is half of measure of intercepted arcs.
Since, the measure of intercepted arcs is 360 degrees.
Therefore,
Hence, the sum of the two angles is 180 degrees.
Therefore, these are the supplementary angles.
Therefore, angle T and angle R are supplementary angles.
Hence, proved.
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Answer:
85.33% probability that a Northern Airlines plane will be on time for at least four of its next five flights.
Step-by-step explanation:
For each Northern Airlines flight, there are only two possible outcomes. Either it is on time, or it is not on time. The probability of a flight being on time is independent of other flights. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Northern Airlines has a reputation for being on time 86% of the time.
This means that
Find the probability that a Northern Airlines plane will be on time for at least four of its next five flights.
In which
85.33% probability that a Northern Airlines plane will be on time for at least four of its next five flights.