Plz help i only need c im confused lol 6th grade history

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alisha [4.7K]

Answer:

Bro same question for my test

Step-by-step explanation:

6 0

3 years ago

Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter α, the expected num

forsale [732]

Answer:

a) 0.951

b) 2,800,000

c) $P(T(R)=n)=\frac{(40*20.106)^ne^{-40*20.106}}{n!}=\frac{(804.248)^ne^{804.248}}{n!}$

Step-by-step explanation:

Let R be a bounded and measurable region in the forest and denote with

|R| = area of R in acres

Let T(R) be a discrete random variable that measures the number of trees in the region R.

If the trees are distributed according to a two-dimensional Poisson process with the expected number of trees per acre equals to 40, then

$\large P(T(R)=n)=\frac{(40|R|)^ne^{-40|R|}}{n!}$

(a) What is the probability that in a certain quarter-acre plot, there will be at most 15 trees?

In this case R is a region with an area of 1/4 acres,

$\large P(T(R)\leq 15)=\sum_{k=0}^{15}\frac{(40*1/4)^ke^{-40*1/4}}{k!}=e^{-10}\sum_{k=0}^{15}\frac{10^k}{k!}$

We can compute this with a spreadsheet and we get

$\large \boxed{P(T(R)\leq 15)=0.951}$

(b) If the forest covers 70,000 acres, what is the expected number of trees in the forest?

Given that the expected number of trees per acre equals 40, the expected number of trees in 70,000 acres equals

40*70,000 = 2,800,000 trees.

(c) Suppose you select a point in the forest and construct a circle of radius 0.1 mile. Let X = the number of trees within that circular region. What is the pmf of X?

Now R is a circle of radius 0.1 mile, so its area equals

$\large |R|=\pi (0.1)^2=0.0314\;squared\;miles$

Since 1 squared mile = 640 acres,

0.0314 squared miles = 0.0314*640 = 20.106 acres, so the pmf of R would be

$\large P(T(R)=n)=\frac{(40*20.106)^ne^{-40*20.106}}{n!}=\frac{(804.248)^ne^{804.248}}{n!}$

7 0

3 years ago

Hayleigh took a long multiple-choice, end-of-year math test. The ratio of the number of problems Hayleigh got incorrect to the n

timurjin [86]

Answer:

36

Step-by-step explanation:

If sh missed 8, then 8/2 is 4, 4x9 is 36

8 0

3 years ago

Help please i need this done by tmr !

Nataly [62]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 7 + 4x + 2 + 90 = 180 , that is

9x + 99 = 180 ( subtract 99 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Then

∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°

∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°

-----------------------------------------------------------------------

Since the triangles are congruent then corresponding angles are congruent , so

∠ B = ∠ E

6x + 10 = 70 ( subtract 10 from both sides )

6x = 60 ( divide both sides by 6 )

x = 10

5 0

3 years ago

What is the answer to this

arlik [135]

$S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}$ or $Sin\frac{Opposite}{Hypotenuse}Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Opposite}{Adjacent}$

At the point/angle E:

- the adjacent side(side next to the point/angle) is ED

- the opposite side(side of the triangle across from the point/angle) is DF

- the hypotenuse (the longest side of the triangle) is EF.

sin ∠E = $\frac{opposite}{hypotenuse}$

sin ∠E = $\frac{6}{10} = \frac{3}{5}$ (simplified)

5 0

3 years ago

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