I play a gambling game in which I will win different amounts of money with different likelihood's. Suppose that I win X dollars
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The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm
Express the mixed fraction into decimal :
So, the dimensions are : 3.5mm , 9mm & 8.5mm
Volume of the prism = Length x Breadth x Height
Susbtitute the value and simplify :
Volume of the prism = ( 3.5 x 9 x 8.5 ) mm
Volume of the prism = 267.75 mm
Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
