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gogolik [260]
3 years ago
8

What is the value of (f • g)(2)?

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

f(g(2)) = 1

Step-by-step explanation:

Another way to write this composite is f(g(2)).  We first have to compute g(2), then fit that value into f.  

g(2)=2^2=4.

g(2) = 4.  Now we have to find f(4):

f(4) = 4 - 3 = 1

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6 0
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]

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
What is the width of the rectangle written as an exponential expression?
Natalka [10]
10m
The process of elimination
7 0
3 years ago
Eight friends ate ⅝ of a bag of chips. What fraction of the bag did each person eat, assuming that they each ate the same amount
Nataliya [291]

Answer:

Option B.  of the bag.

Step-by-step explanation:

Eight friends ate  of a bag of chips in the same amount.

We have to find the quantity that each person ate the chips.

Each friend ate =  ÷ 8

                         =  ×  

                         =  

Therefore, each friend ate  of the bag of chips.

Option B is the answer.

7 0
3 years ago
Read 2 more answers
Angle r and 92 are supplementary angles. what equation can you use to solve for r?
Oxana [17]

Answer:

88°

Step-by-step explanation:

<h3>supplementary angle are angles that add up to 180°</h3>

r+92= 180

r= 180-92

r = 88°

5 0
1 year ago
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