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2 years ago

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MODELING REAL LIFE The table shows the profit y for recycling x pounds of aluminum. Find the profit for recycling 75 pounds of a

luminum. Aluminum (lb), x 10 20 30 40 Profit, y $4.50 $9.00 $13.50 $18.00

1 answer:

True [87]2 years ago

8 0

Answer: 33.75

Step-by-step explanation:

It’s right

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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

Is 49.20 greater than 49.22

Helen [10]

49.22 is greater than 49.20

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2 years ago

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Need help on this<br><br> Z+4>2z

snow_lady [41]

Answer: z < 4

z+4 > 2z

z+4-z > 2z-z ..... Subtract z from both sides

4 > z

z < 4

So the solution set for z is any number that is less than 4, which could be something like z = 2 or z = 3.

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Use synthetic division to solve (x^3+1)/(x-1). What is the quotient?

Sav [38]

Answer:

x^2 +x +1

Step-by-step explanation:

See below for the tableau. The quotient is x^2 +x +1.

___

The remainder is 2.

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3 years ago

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Sedaia [141]

Answer:

its 19. 60 just add it three more times and that is your answer

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2 years ago