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Leona [35]
2 years ago
14

What is 2i-3=2(6-i)+7i as a fraction or decimal or whole number

Mathematics
1 answer:
ANTONII [103]2 years ago
6 0

Answer:

i = - 5

Step-by-step explanation:

Given

2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side

2i - 3 = 12 - 2i + 7i

2i - 3 = 12 + 5i ( subtract 5i from both sides )

- 3i - 3 = 12 ( add 3 to both sides )

- 3i = 15 ( divide both sides by - 3 )

i = - 5

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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
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Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

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The probability that x is lower or equal to a is given by:

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The probability of finding a value higher than x is:

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The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

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The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

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4 0
2 years ago
In this diagram which equation could you prove to be true in order to conclude that the lines are parallel
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Since b is on the y coordinate and -a is on the x coordinate, you would make it b/a while -a is gonna be a positive since the lines are going up and to the right. Now, since c is the y coordinate and d is the x coordinate, make C the numerator and d the denominator since y is always the numerator and x is the denominator for these parallel line figures on the graph and the equation will be equaled to the fraction to the other fraction for parallel lines. 

So, your answer would be D. b/a = c/d 

Hope this helps, and is correct! 

<em>~ ShadowXReaper069</em>
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