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3 years ago

Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

3 0

we have

------> inequality A

The solution of the inequality A is the shaded area below the solid red line

see the attached figure N

------> inequality B

The solution of the inequality B is the shaded area above the dotted blue line

see the attached figure N

therefore

The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line

see the attached figure N

therefore

the answer in the attached figure N

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A cook uses 2.5 cups of flour for each ounce of butter in a recipe.Which graph represents the relationship between the amount of

Mrac [35]

Answer:

To view the graph, go to desmos.com and start graphing, then type in: y/x=2/5 and the graph will appear

Step-by-step explanation:

The ratio 2:5, when represented in a graph, becomes y/x=2/5 and this means that if y is 2, then x is 5, and so on, and so forth.

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4 years ago

A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p

andreyandreev [35.5K]

Answer:

B) 0.894

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.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that $\mu = 0.55$

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577$

$P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894$

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4 years ago

Given f(x)=-x-4f(x)=−x−4, find f(4)f(4).

Lady bird [3.3K]

Answer:

1/4 or .25

Explanation

As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.

-0.25-16*.25=-0.25-4

-0.25-4=-0.25-4

-4.25=-4.25

6 0

3 years ago