Answer:
The second box plot best represents the data
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
That equals 18 since the distance from zero is 18.
Hope i'm the brainliest!
Answer:
8√13 units
Step-by-step explanation:
We use the distance formula.
The distance formula states that the distance between two points (x, y) and (a, b) is equal to:
d = ![\sqrt{(x-a)^2+(y-b)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-a%29%5E2%2B%28y-b%29%5E2%7D)
Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:
d = ![\sqrt{(x-a)^2+(y-b)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-a%29%5E2%2B%28y-b%29%5E2%7D)
d =
= 8√13
The answer is thus 8√13 units.
<em>~ an aesthetics lover</em>
Answer:
1/3
Step-by-step explanation:
If 6/18 of the cartons are vanilla that means that those are the odds of you picking a vanilla at random
6/18=1/3