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2 years ago

Is the relationship between the variables additive or multiplicative? Explain

Mathematics

1 answer:

salantis [7]2 years ago

8 0

This is additive because it doesn’t pass through the origin. It’s a line in the form y = mx + b

Remember that additive equations are in the form y = a + b, mx simply becomes one term when you multiply it.

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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

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3 years ago

Can someone do my math homework for me? i will give you the information you need. My head hurts constantly and i get too distrac

Lera25 [3.4K]

Answer:

I'll do your Home work Just post the questions

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2 years ago

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A coin is tossed 20 times. It lands heads four times. Compare the experimental probability to its theoretical probability. If th

MrRa [10]

Theoretical probability is based on the likelihood of events.

if a coin is flipped 20 times, and it has landed on heads 4 times, theres a 50% chance it would land on heads the 5th time.

it could be that heads gets more than tails or it could be vise versa.

The probability of getting two heads is 1 in 4.

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2 years ago

Which fraction is equivalent to 1/2?

zhannawk [14.2K]

It would be 2/4. 2/4 simplifies to 1/2.

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There are 7 days in 1 week. Some months consist of 30 days. How many weeks are there in 280 days.

notsponge [240]

There are 40 weeks in 280 days

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