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3 years ago

What are the domain and range of this function?

Mathematics

1 answer:

Arlecino [84]3 years ago

8 0

Answer:

Correct answer: The third answer is correct

Step-by-step explanation:

The domain of each function is defined by observing the behavior of the function from left to right by following the growth of numbers on the x axis of real numbers.

In the same way, the range of each function is defined by observing the behavior of the function from the bottom y axis upwards by following the growth of numbers on the y axis of real numbers.

The given function extends from negative infinite to positive infinite on the x axis and that is the domain of this function.

The minimum of a given function is 4, which means that the function exists from 4 upwards and that is the range of the function.

Domain; all real numbers or x ∈ ( -∞ , + ∞)

Range: ( y ≥ 4 )

God is with you!!!

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(3x*2-x+8y)+(4x*2-3x-5y)<br><br>help me please

NARA [144]

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2 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

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Step-by-step explanation:

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