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2 years ago

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What is the height of the trapezoid if the Area = 77 ft²? The h we don't know but the base is 14 and the line on top is 8. pleas

e help im very lost

1 answer:

velikii [3]2 years ago

5 0

Answer:

h = 7.333....

Step-by-step explanation:

Formula is A = 1/2h(b1+b2)

Area 77 determine the height

77=1/2h(14+8)

77 = 1/2h(22)h

77/10.5 = 10.5h/1.5

solve for h = 7.333....

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2 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]

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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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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:

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

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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).

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

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