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Aloiza [94]
2 years ago
14

What is the sum of the rational expressions below? X/4 + 3/5x

Mathematics
1 answer:
Andrew [12]2 years ago
4 0

Answer:

The answer is  \frac{5x^2+12}{20x} .

Step-by-step explanation:

Given:

X/4 + 3/5x.

Now, to find the sum of the rational expressions.

\frac{x}{4} +\frac{3}{5x}

So, to solve it by adding:

\frac{x}{4} +\frac{3}{5x}

=\frac{5x\times x+3\times 4}{5x(4)}

=\frac{5x^2+12}{20x}

Therefore, the answer is  \frac{5x^2+12}{20x} .

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Find the 8th term for the series 2, 8, 32, 128, … <br> A. 8192<br> B. 16384<br> C. 6784<br> D. 32768
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3 years ago
Twenty five heat lamps are connected in a greenhouse so, that when one lamp fails, another takes over immediately (only one lamp
olga55 [171]

Answer:

P = 0.006

Step-by-step explanation:

Given

n = 25 Lamps

each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours

Find probability that the lamp will be burning at end of 1300 hours period.

As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have

Suppose i represents lamps

P (∑i from 1 to 25 (X_i > 1300)) = 1300

= P(X^{'}> \frac{1300}{25})                  where X^{'} represents mean time of a single lamp

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Probability that a lamp will be burning at the end of 1300 hours period is 0.006

4 0
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