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3 years ago

The points in the table lie on a line. Find the slope of the line.

Mathematics

1 answer:

maria [59]3 years ago

3 0

The slope of the line is $-\frac{3}{4}$

First, you must find 2 points.

(-6,8) (-2,5)

Then, you must substitute the value of the points in.

$\frac{5-8 }{-2+6}$

Finally, simplify the fraction.

$-\frac{3}{4}$

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The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h? StartFraction V Ove

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Answer:

The correct answer is <u>A.) StartFraction V Over l w EndFraction = h</u>

Step-by-step explanation:

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2 years ago

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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

Select all expressions that are equivalent to 5x + (x+6) + 3x.

liraira [26]

The correct answer is 9x+6.

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2 years ago

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Completely simplified the expression for x plus 10 plus 6 x plus 2 x by combining like terms into your answer in the box.

siniylev [52]

We can first turn the text into a proper formula:

x plus 10 plus 6 x plus 2 x

x+10+6x+2x

The like terms are the numbers with

We can then put the like terms together to continue the calculation:

x+6x+2x+10

=9x + 10

Therefore, the answer is 9x + 10.

Hope it helps!

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2 years ago

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Which Expression is equivalent to 8x - 2y + x + x

Ray Of Light [21]

8x -2y + x+x simply combine like terms 8x+ x + x= 10x therefore 10x-2y is equivalent

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2 years ago

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