Answer:
![P (X = 140) = 0](https://tex.z-dn.net/?f=P%20%28X%20%3D%20140%29%20%3D%200)
Step-by-step explanation:
We know that the heron wingspan follow a normal distribution with an mean of 125 cm.
In this case we seek to find
![P (X = 140)](https://tex.z-dn.net/?f=P%20%28X%20%3D%20140%29)
If X is a random variable that represents the length of the heron wingspan, then X follows a normal distribution and therefore is a continuous random variable.
Then by definition of continuous random variable we have to:
where a is a constant.
That is to say that only the ranges of values can have a different probability of zero. The probability that a continuous random variable is equal to some exact value is always zero.
Finally we can conclude that
![P (X = 140) = 0](https://tex.z-dn.net/?f=P%20%28X%20%3D%20140%29%20%3D%200)
An equation is formed of two equal expressions. The given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the solution to the equation we need to solve the given equatiopn. Therefore, the equation can be written as,
![12x+1=3(4x+1)-2\\12x+1=12x+3-2\\12x+1=12x+1](https://tex.z-dn.net/?f=12x%2B1%3D3%284x%2B1%29-2%5C%5C12x%2B1%3D12x%2B3-2%5C%5C12x%2B1%3D12x%2B1)
As we can see that both sides of the equation are similar to each other, therefore, for any value of x the equation will be satisfied.
Thus, the given equation 12x+1=3(4x+1)-2 has infinite numbers of solutions.
Learn more about Equation:
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