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nalin [4]
3 years ago
5

What term is used to describe the graphical representation of the change in microbial population over time?

Mathematics
1 answer:
ruslelena [56]3 years ago
7 0

Answer:

The term exponential is often used.

Step-by-step explanation:

The term exponential is used to represent changes in population over time.  The idea of (positive) exponential is that the higher the number, the higher the growth. You can relate this with a population, because the higher the population, the more opportunities for it to multiply, thus, the higher it grows.

Usually the way to meassure the population of an species after certain number of years x, you use an exponential function of the form

f(x) = K_0 * a^x

For certain constants K₀ and a. K₀ is the initial population at the start of the experiment and <em>a </em>number of exponential growth. Essentially, the population of the species is multiplied by a during each year.

For example, if K₀ = 1000 and a = 2, then the population at the start of the experiment is 1000. After the first year is 1000*2 = 2000 and after the second year it is 2000*2 = 4000. Note that, not only the population grow during the years, but also the amount that the population increases also grow: in the first year it grows 1000, and between the first and second year it grows 2000.

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Which equation represents the linear relationships shown in the table?
saveliy_v [14]

Answer:

idk

Step-by-step explanation:

4 0
3 years ago
What are the missing coordinates? My teacher said it was (h-m,n), but I’m saying it is (h+m,n). Could anyone help?
antiseptic1488 [7]

Answer:

  • <u>You are right, the coordinates are</u>:

                                                               (h+m,n)

Explanation:

Here is how you can proove that you are right.

Note that m is the x-coordinate of the point   (m,n) . Since this point is to the left of the y-axis, it is a negative number, but the negative sign is included in m.

The distance from   (m,n)   to the y-axis is not m but -m.

That is the same distance from the point with the missing coordinates to the point (h,0).

Then, the missing x-coordinate is    h-(-m)=h+m.

Of course, there is not doubt about the y-coordinate: it is n, because the point with the missing coordinates is at the same height as (m,n).

Hence, the missing coordinates are x = h+m, and y = n: (h + m, n).

3 0
2 years ago
Suppose the number of radios in a household has a binomial distribution with parameters n=11 and p=40%. Find the probability of
Ivenika [448]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x=r) = nCr × q^(n-r) × p^r

From the information given,

n = 11

p = 40% = 40/100 = 0.4

q = 1 - 0.4 = 0.6

x represent the number of radios

a) P( x = 1) or P(x = 9)

P(x = 1) = 11C1 × 0.6^(11-1) × 0.4^1

P(x = 1) = 0.027

P(x = 9) = 11C9 × 0.6^(11-9) × 0.4^9

P(x = 9) = 0.0052

P( x = 1) or P(x = 9) = 0.027 + 0.0052 = 0.0322

b) P(x lesser than or equal to 7) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)

P(x = 0) = 11C0 × 0.6^(11-0) × 0.4^0 = 0.004

P(x = 1) = 0.027

P(x = 2) = 11C2 × 0.6^(11-2) × 0.4^2 = 0.089

P(x = 3) = 11C3 × 0.6^(11-3) × 0.4^3 = 0.177

P(x = 4) = 11C4 × 0.6^(11-4) × 0.4^4 = 0.24

P(x = 5) = 11C5 × 0.6^(11-5) × 0.4^5 = 0.22

P(x = 6) = 11C6 × 0.6^(11-6) × 0.4^6 = 0.15

P(x = 7) = 11C7 × 0.6^(11-7) × 0.4^7 = 0.15

P(x lesser than or equal to 7) = 0.004 + 0.027 + 0.089 + 0.177 + 0.24 + 0.22 + 0.15 + 0.07 = 0.977

c) P(x greater than or equal to 5) = 1 - P(x lesser than or equal to 4) = 1 - (0.004 + 0.027 + 0.089 + 0.177 + 0.24) = 1 - 0.537 = 0.463

d) P(x lesser than 9) = P(x lesser than or equal to 7) + P(x = 8)

P(x = 8) = 11C8 × 0.6^(11-8) × 0.4^8 = 0.02

P(x lesser than 9) = 0.977 + 0.02 = 0.997

e. P(x greater than 7) = 1 - P(x lesser than or equal to 7) = 1 - 0.977 = 0.023

5 0
3 years ago
What number is 15 less than 63?​
wariber [46]

Answer:

48

Step-by-step explanation:

4 0
2 years ago
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Solve for L <br> 10LW=V<br><br> i need help answering this question
vlabodo [156]
10LW=V

L/10W= V/10W

L= V/10W
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