What is the value of X ?
2 answers:
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The value of P(4<X≤12) is 0.45
<h3>How to determine the probability?</h3>The complete question is added as an attachment
To calculate P(4<X≤12), we use the following equation
P(4<X≤12) = P(4<X≤8) + P(8<X≤12)
From the histogram, we have:
P(4<X≤8) = 0.1
P(8<X≤12) = 0.35
So, we have:
P(4<X≤12) = 0.1 + 0.35
Evaluate
P(4<X≤12) = 0.45
Hence, the value of P(4<X≤12) is 0.45
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Answer:
D.
Step-by-step explanation:
In order to answer this question we need to know the definition of the domain. The domain of a function is the complete set of possible values of the independent variable ("x"). In our case we can look at the function and cross out option "A" because the function has no point with a negative "x" value. Option "B" can be also crossed out because it states that "x" values can not go above 3 but by looking at the function we can see multiple point with "x" values larger then 3. Option "C" can also be crossed out because their is not point on the function that would have a negative "x" value which contradicts the statement about all numbers. And finally we are left with "D" and we know it is the right answer since the function has a point with "x" value being equal to 0 and the all other points have the "x" value greater then 0, which is exactly what option "D" states.