P is the incenter of ΔXYZ. If PY = 35 and JY = 28, find LP.
2 answers:
Answer: The correct option is (D) 21.
Step-by-step explanation: Given that the point P is an incenter of ΔXYZ. Also, PY = 35 and JY = 28.
We are to find the length of LP.
Since PJ is perpendicular to teh side YZ, so the triangle PJY will be a right-angled triangle with PY as the hypotenuse.
Using Pythagoras theorem in triangle PJY, we have
Since the distance from the incenter of a triangle to all the three sides are equal, so we get
LP = PJ = 21 units.
Option (D) is CORRECT.
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Answer:
Let X the random variable of interest "number of tweets with no reaction", on this case we now that:
And the expected value is given by:
So we expect about 71 tweets with no reaction for this case.
Step-by-step explanation:
Previous concepts
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The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest "number of tweets with no reaction", on this case we now that:
And the expected value is given by:
So we expect about 71 tweets with no reaction for this case.