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3 years ago

Help please will give brainlest

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Here are your answers,

For the first one your answer will be, option D

For the second one your answer will be, option c

For the third one your answer will be, Domain= All Real Numbers

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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

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the numbe

Stels [109]

X = Dimes Y = Nickels
x + y = 175
.10x + .05y = 13.30

8 0

3 years ago

Walt multiples 25 times 16 using partial products what did walt do wrong

vlada-n [284]

Answer:

first what the full question and if 25*16/2=200

Step-by-step explanation:

6 0

4 years ago

You open a savings account with a beginning balance of $600. You plan on depositing $50 every month until you have enough money

telo118 [61]

Answer:

48 months

Step-by-step explanation:

first take how much you need and add how much you want to leave, so 2500+500=3000. Then delete 600 from 3000, which will give you $2400. divide $2400 by 50 which gives you 48. it will take 48 months to get enough money to purchase a car at $2500 and leave $500 in the account.

8 0

3 years ago

The graph shown here is the graph of which of the following rational

IgorLugansk [536]

Answer:

I think it's option B ...

7 0

3 years ago