All categories

3 years ago

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

You might be interested in

Hàm số nào là hàm lẻ<br> A sin^2 x+1 B cot^3x C tn3x cotx d cosx

Sedaia [141]

{(sin (x))^2A(csc(x))^3(cos))3B+(-3x)
{cot (dx) cos (x)

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