In industry: most scientific discoveries are made useful products are made scientific principles are invented
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Answer:
0.2776
Explanation:
Mean = 15000, SD = 1500
We need to find Cumulative probability: P(X > 15884)
First we need to convert it into normal distribution.
From the attached file, we can see the shaded area we are looking for.
For conversion as follow;
Next to find Z = = 0.59
now we have converted to normal distribution and found the value of Z, we need to find the probability P(X > 15884).
P(X > 15884) = P(Z > 0.59).
From the normal distribution table at Z= 0.59, and greater than 0.59, Probability = 0.2776.
It is to be noted that the Area of the Triangle formed by the points of intersection of the Parabola derived from the equation y = a(x-3) (x+2) with the derived coordinates is 12.
<h3>What is a Parabola?</h3>
In mathematics, a parabola is a symmetrical open plane curve generated when a cone meets a plane parallel to its side.
Under the influence of gravity, a projectile's journey follows a curve of this shape.
Solution:
Step I - recall that y=a(x-3)(x+2)
This means that the base of the triangle is: 3-(-2) = 5
It's Height is = 6a. We arrive at this value when we make x = 0 and utilize the absolute value of the derivation.
Given that the area of a triangle is:
y=a(x-3)(x+2), we therefore have the following equation:
12 = 1/2 * 5 * 6 * A
If A = 4/5, then the solution to our equation comes to 12.
Learn more about Parabola at:
brainly.com/question/64712
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