The point B(-6, -2) is rotated 90° counterclockwise coordinates of the resulting point, B'?
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Answer:
The Poisson distribution uses the shape parameter denoted by <em>λ</em>.
Step-by-step explanation:
A Poisson distribution is used to describe the distribution of the number of events that take place in a fixed interval of time.
For instance, number of customers arriving at a bank in an hour or the number of typos encountered in a book every 50 pages.
The Poisson distribution uses the shape parameter to compute the probabilities of different events.
The shape parameter is defined as the average number of occurrence in a given time interval. It is usually denoted by <em>λ</em>.
The probability mass function of a Poisson distribution is:
According to the graph, the ships’ paths do not meet at any point.
<h3>What are linear equations?</h3>Linear equations are equations that have constant average rates of change, slope or gradient
<h3>How to determine the point where the two ships' path meet?</h3>A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2x = 5y - 40
-4x + 10y = 20
Make y the subject in the second equation, by adding 4x to both sides of the equation
4x -4x + 10y = 20 + 4x
This gives
10y = 20 + 4x
Divide both sides by 10
y = 2 + 0.4x
Substitute y = 2 + 0.4x in 2x = 5y - 40
2x = 5(2 + 0.4x) - 40
Expand
2x = 10 + 2x - 40
Subtract 2x from both sides of the equation.
2x - 2x = 10 + 2x - 2x - 40
Evaluate the like terms
0 = 10 - 40
Evaluate the like terms
0 = -30
The above equation is not true.
This means that the ships’ paths do not meet at any point.
This can be confirmed using the attached graph.
From the graph, we can see that the lines of 2x = 5y - 40 and -4x + 10y = 20 do not intersect
Hence, we can conclude that the ships’ paths do not meet at any point.
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