1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Angelina_Jolie [31]
3 years ago
7

If i have a forest composed of 25 species of trees, each with a known abundances, how many events are there in the sample space

describing the event of randomly selecting a single tree of a specific species?
Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0
There are 25 species of trees, each with a known abundances. The question is how many possible ways to randomly select one tree there are.
We should calculate the number of combinations. Combinations, because we select item/s from a collection. In this case, when we select only one item, the combination is also a permutation. From set of n objects we select r. In our case: n=25, r=1. 
The equation is: n!/r!(n-r)!= 25!/1!*24!=25*24!/24!=25
There are 25 different outcomes (events).
You might be interested in
The following integral requires a preliminary step such as long division or a change of variables before using the method of par
shtirl [24]

Division yields

\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}

Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that

\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}

\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a

which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then

\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}

Now, in the integral we get

\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx

The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get

\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}

7 0
2 years ago
Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ
frutty [35]

Answer:

y=-3x-3

Step-by-step explanation:

Rotate 90 degrees

find slope

find y intercept

write equation

7 0
3 years ago
A parabola has a vertex at (4, 0) and passes through the point (6, 1). Which of the following is the equation of this parabola i
Doss [256]
Easy

y=a(x-h)^2+k
vertex is (h,k)
we know that vertex is (4,0)
input that point for (h,k)
y=a(x-4)^2+0
y=a(x-4)^2
passes thorugh the point (6,1)
input that point to find a
1=a(6-4)^2
1=a(2)^2
1=a(4)
divide both sides by 4
1/4=a

thefor the equation is
y=(1/4)(x-4)^2
or
y=(1/4)x^2-2x+4
7 0
3 years ago
How to solve -5 + 8 with solution
AysviL [449]

Answer:

=3

Step-by-step explanation:

-5+8

=3

6 0
3 years ago
Read 2 more answers
Help me! I am confused
ArbitrLikvidat [17]
We know the workers can unpack 48 books in 2 minutes, so how many minutes for 200?

\bf \begin{array}{ccll}&#10;books&minutes\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;48&2\\&#10;200&m&#10;\end{array}\implies \cfrac{48}{200}=\cfrac{2}{m}\implies m=\cfrac{200\cdot 2}{48}&#10;\\\\\\&#10;m=\cfrac{25}{3}\implies m=8\frac{1}{3}\impliedby \textit{8 minutes and 20 seconds}
3 0
4 years ago
Other questions:
  • (X-3)(x+2) = 0 what is the answer to this ?
    5·1 answer
  • Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If
    8·1 answer
  • You are in charge of advertising for the drama club's next performance. You can make two signs from a poster board that is 36 in
    14·1 answer
  • Elena is 56 inches tall. What is her height in centimeters? (Note: 100 inches = 254 centimeters) What is her height in meters?
    11·2 answers
  • A segway travels 12.5 miles every 1/2 hour. What is the unit rate of miles per hour?
    8·1 answer
  • En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones ref
    5·1 answer
  • Scott is driving to visit family. After 3 hours of driving, Scott traveled 180 miles. After driving for 5 hours at the same rate
    9·1 answer
  • Blake's car has traveled 100 miles in 1 1/4 hours. How many mules per hour in Blake's car traveling?
    9·1 answer
  • If there are 81 students is the band<br> how many boys are in the band
    11·2 answers
  • Okay so, i need help with this. It’s really important and I need to finish this paper before school tomorrow. Please help i will
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!