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yawa3891 [41]
3 years ago
10

2. Weekly CPU time used by an accounting firm has a probability density function (measured in hours) given by

Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer:

good luckgood luckgood luckgood luck

Step-by-step explanation:

good luckgood luckgood luckgood luck

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<u>Given</u>:

The given expression is \frac{4 d+28}{12 d+96} \cdot \frac{d^{2}+14 d+48}{d^{2}+9 d+14}

We need to multiply the terms.

<u>Multiplication of the terms:</u>

Before multiplying the terms, first we shall find the factors of the quadratic equations.

Thus, we have;

\frac{4 d+28}{12 d+96} \cdot \frac{(d+6)(d+8)}{(d+2)(d+7)}

Factor out the common terms, we get;

\frac{4 (d+7)}{12 (d+8)} \cdot \frac{(d+6)(d+8)}{(d+2)(d+7)}

Let us cancel the common terms from the above expression.

Thus, we have;

\frac{4 }{12 } \cdot \frac{(d+6)}{(d+2)}

Simplifying, the term, we get;

\frac{1}{3 } \cdot \frac{(d+6)}{(d+2)}

Now, we shall multiply the terms.

Hence, multiplying the terms, we get;

\frac{(d+6)}{3(d+2)}

Thus, the multiplied value of the given expression is \frac{(d+6)}{3(d+2)}

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