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3 years ago

Which of the following questions describes the equation 4 n = -24?

Mathematics

1 answer:

dangina [55]3 years ago

4 0

3- What number, when multiplied by 4, equals -24?

Hope this helps. :)

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3 years ago

If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul

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Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

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.

3 failures every twenty weeks

This means that for 1 week, $\mu = \frac{3}{20} = 0.15$

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

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

Then

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

$P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607$

$P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898$

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

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3 years ago

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Answer:

Let's complete the square first.

y = x² + 6x + 3

= (x² + 6x + 9) - 6

= (x + 3)² - 6

Therefore, the vertex is (-3, -6) and since the coefficient of (x + 3)² is positive, the vertex is a minimum.

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D C D C B are the correct answers in order

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On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and

Monica [59]

Answer:

Answer:

(B)

Step-by-step explanation:

We have to construct two equilateral triangles that is one with the side length of 2 inches and the another triangle with side length of 3 inches.

Now, both the triangles are equilateral triangles, thus they have same shape.

Also, both triangles have different side lengths, one having 2 inches and another having 3 inches, thus they have different size.

Hence, the true statement about the two triangles is:

The two triangles are the same shape but not the same size.

Therefore, option B is correct.

Step-by-step explanation:

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