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3 years ago

Plz help answer y=2x-3 x+y=18

1 answer:

4 0

Y = 2x-3
x + y = 18
Since you already know what y is equal to, we can plug that in into the second equation.
x + (2x-3) = 18
x + 2x -3 = 18
3x -3 = 18
Add 3 to both sides of the equation. (By doing this, we can isolate the 3x on the left side by getting rid of the -3)
3x = 21
Divide 3 on both sides
x = 7

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Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

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.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

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

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

3 years ago

Help I’m not sure if this is correct number 4

Katena32 [7]

Answer:

-12= -12

Step-by-step explanation:

You're correct dw!

3 0

1 year ago

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Otrada [13]

Answer:

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Step-by-step explanation:

8 x (11i + 2 ) =

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Writing in the proper form

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6 0

2 years ago

The graph of f (x)= x² has been translated 4 units down.

weeeeeb [17]

Answer:

the new equation is f(x)=x^2-4

vertex- (0,-4)

zeros- (-2,2)

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and it has a minimum

Step-by-step explanation:

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3 years ago

I need help. due today

just olya [345]

X = 19.

Explanation:

This expression is vertical from the angle 135, meaning it is congruent. With that being said, we would need to find what 7 multiplies by to give us 2 less than 135, which would be 133. Because 133 divided by 7 equals 19, x = 19. If we plug this in, we get the following equation: 7(19) + 2 = 135.

6 0

2 years ago

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