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grigory [225]
2 years ago
14

The bakers made 25 each of lemon, apple, and

Mathematics
2 answers:
g100num [7]2 years ago
4 0

Answer:

The answer is 600 pies

Step-by-step explanation:

25 times the 3 flavors is 75 pies per hour, multiplied by 8 is 600 pies

Kobotan [32]2 years ago
3 0
25x3=75
75x8=600

they made 600 pies in 8 hours
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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

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2 years ago
Given the following triangle, if a = 2 and b = 3, find c.<br> √5<br> √10<br> √13
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We can use pythagorean theorem:

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4 + 9 = c^2

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sqrt of 13 = c

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