2 years ago

How to find the least value of quadratic expression 5-(x+3)^2

Mathematics

1 answer:

Mariana [72]2 years ago

5 0

Least value is negative infinity

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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

Wittaler [7]

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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2 years ago

Can I please have some help????

DedPeter [7]

Answer:

avn= -8 + (n-1)(-7)

Step-by-step explanation:

arithmetic sequence formula= avn= av1 + (n-1)d

av1= first number in the sequence

d= common difference

n= the number of the term to find

The common difference is -7 so d=-7 and you plug it into the equation. The first number in the sequence is -8 so av1.

There is no specific n to find so it remains n.

I hope this helps! Let me know if this helps.

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6

Like how $6^{2}$ = 36

Square root does the opposite.

Edit: my mistake, it is 6

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