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attashe74 [19]
3 years ago
9

Jacob has 12 fish, and all of them are either yellow or red. There are twice as many yellow fish as red fish. How many yellow fi

sh does Jacob have? How many red fish does Jacob have? Show your work.
Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

yellow : 8

Red : 4

Step-by-step explanation:

Yellow : Y and Red : R

R : Y = 12

They need to add up to 12 because its the total.

We know that yellow is twice the amount so

4×2= 8

so if yellow was to be times by 2 itd be 8 which will still add up to 12.

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3 years ago
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:

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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}

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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

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Step-by-step explanation:

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Step-by-step explanation:√ 5  = 2.23

Thus:    2.23  x  2.23 = 5

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