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Cexculate f(x) and then f(5−x).

f(x)=2/ E(5−x)= ​
The repair factity be better ett charging a fiat fee of mes beceuse e[(5−x)150].

1 Answer

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Final answer:

To calculate f(x) for the function f(x) = 0.25e^-0.25x, plug in the value of x, such as f(5) which equals approximately 0.072. To calculate f(5-x), replace x in the function with (5-x) and evaluate.

Step-by-step explanation:

The question asks us to calculate f(x) and then f(5-x) for a given function f(x). Let's break it down step-by-step:

First, for f(x), we have the function f(x) = 0.25e^-0.25x. To find f(x) for a specific x, simply plug in the value of x into the equation.

For example, f(5) equals 0.25 multiplied by the natural exponent e to the power of -0.25 times 5, which calculates to approximately 0.072. This is the probability that a clerk spends exactly five minutes with a customer.

Second, to calculate f(5-x), one would replace x with (5-x) in the original equation, yielding f(5-x) = 0.25e^-0.25(5-x). You then evaluate this expression for a particular value of x to find the specific probability.

For any additional calculations or graphing needs, we must be given a specific value for x, or we could graph the function over a range to observe its behavior, likely using a graphing tool or calculator.

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