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3 years ago

Find m1 and m2 . Tell which theorem can be used. m1 = by the… m2 = by the…

Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

122° and angle 1 are alternate interior angles and hence they are equal.

m1 = 122°

122° + angle 2 = 180° [sum of co interior angles is 180°]

angle 2 = 180° - 122°

m2 = 58°

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xxTIMURxx [149]

Answer:

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Step-by-step explanation:

i^15

Divide the exponent by 4

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3 years ago

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arlik [135]

Answer:

101.6064

Sig Figs

101.6064

Decimals

101.6064

Scientific Notation

1.016064 × 102

E-Notation

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Step-by-step explanation:

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3 years ago

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

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3 years ago

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Olegator [25]

Answer:

Step-by-step explanation:

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2 years ago

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Nezavi [6.7K]

30% can also be written as .3, which is easier to use in this case.

To find how many just sat around, multiply the number of people by the percentage of how many just sat around.

1400*.3=420

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3 years ago

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