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mixer [17]
2 years ago
5

n ecology, a measure of diversity of a species in a certain population is called the diversity index. The diversity index D is d

efined as the probability that any two organisms selected at random from the population will be from different species. a. If every organism in a population is from the same species, what is the value of the diversity index D
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
4 0

Answer: the value of the diversity index D is Zero (0)

Step-by-step explanation:

Just as the meaning of diversity index is boldly explained in the question, it is the probability that randomly selected organism from a population are from a different species.

Now if the organisms are all from the same species in a population  then it is impossible to select two organisms from different species.

That is, we can never select two organisms that are not from the same species.

Hence, we cant fulfil or meet the definition of diversity index .

Therefore in this situation the value of our diversity index D will be exactly zero, D = 0.

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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5
Anuta_ua [19.1K]

Answer:

y = \frac{3}{2} x-11

Step-by-step explanation:

We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation isy = - \frac{2}{3} x+5.

We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be \frac{3}{2}.

Then, we will find the y-intercept of the line using the standard equation of a line:

y=mx+c

1=\frac{3}{2} (8)+c

c=-11

Therefore, the equation of the line will be y = \frac{3}{2} x-11.


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3 years ago
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Divide using polynomial long division.<br> (2x3 – 16x² + 37x – 26) = (x - 5)
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the solution to the given synthetic division will be expressed as (2x^2 - 6x + 7) + \frac{9}{x-5}

<h3>Synthetic division of a polynomial</h3>

According to the given question, we are to divide (2x³ – 16x² + 37x – 26)  by (x - 5)

         2x^2 - 6x + 7

x - 5 | 2x³– 16x² + 37x – 26

          2x³ - 10x²

     __________

                 -6x² +37x

                 -6x² +30x

             _______________

                             7x   - 26

                             7x   - 35
                         ______________

                                       9 - Remainder

Hence the solution to the given synthetic division will be expressed as:

 P(x) = Q(x) +  \frac{R(x)}{D(x)} \\(2x^3  -16x^2 + 37x - 26 = (2x^2 - 6x + 7) + \frac{9}{x-5}

Learn more on synthetic division here: brainly.com/question/24662212

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