Answer:
Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:
We use just the positive root, since we are looking for an actual length. then, the requested side is:
The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
The probability of getting exactly three robberies in a day is 0.1607.
<h3>What is meant by poison distribution?</h3>
The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.
The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.
In the poison distribution a discrete random variable X has the following probability mass function,
, where 
is the mean of the distribution and 
Given that 
The required probability, 
Therefore, the probability of getting exactly three robberies in a day is = 0.1607.
To learn more about poison distribution refer to:
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It's can be 5×10^4
5×10^4= 5×10000=50,000
The sine increases from 0 to 90 degrees and from 270 to 360 degrees
The sine decreases from 90 to 270 degrees
The cosine increases from 180 to 360 degrees
The cosine decreases from 0 to 180 degrees
Sine = 0 at 0 and 180 degrees
Cosine = 0 at 90 and 270 degrees
Step-by-step explanation:
Let the first integer be x
2nd integer = x + 1
3rd integer = x + 2
x + x + 1 + x + 2 = -147
3x + 3 = -147
3x = -147 - 3
3x = -150
x = -150 ÷ 3
x = -50
The three consecutive integers are
-50, -49, -48
