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Gnoma [55]
3 years ago
6

What is the y value of the solution to the system of equations? 4x-2y=2 4x+6y=10

Mathematics
1 answer:
const2013 [10]3 years ago
3 0
The y value of the solution is 1. “y = 1”
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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
aliina [53]

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:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

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

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

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

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

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

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

4 0
2 years ago
Can you please help me solve thanks step by step
shusha [124]

Answer:

40 degrees

Step-by-step explanation:

We know the entire angle of ABD is 70 and CBD and ABC are in it.

Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.

30 + x = 70

-30 from both sides

x = 40

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3 years ago
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PLEASE it’s due tonight help me! All help will be greatly appreciated.
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Answer:

233

Step-by-step explanation:

2ed

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I am pretty sure the answer is 180
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