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Alina [70]
4 years ago
15

A wildlife service wanted to estimate the number of alligators in a river so they tagged 90 alligators and released them back in

to the river. Later they found that a sample of 200 alligators contained 23 that were tagged. Assuming that the tagged alligators are evenly distributed, what is the best estimate of the number of alligators in the river?
This is from a practice test I found online for a placement test for a community college. I have never encountered these type of word problems before. I don't even know where to start.
Mathematics
1 answer:
lilavasa [31]4 years ago
5 0
You can solve this with a proportion. If you know that 23 tagged alligators were in a 200 alligator sample, there are 90 tagged alligators in the entire river. Written otherwise:

23/200 = 90/x    

and solve for x:

x = 782.608...

So the "best estimate" would be around 783 alligators. Hope that helps! If you liked this answer please rate it as brainliest!! thank you!!!
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2 1 point
mafiozo [28]

Answer:

  • The graph has a minimum.
  • The graph has a y-intercept at (0, -3).
  • The solutions ... are -1 and 3.
  • The vertex is located at (1, -4).
  • In the equation, 'a' would be positive.

Step-by-step explanation:

When the graph has a low point, it has a minimum. 'a' is positive in that case. The coordinates of that low point are (1, -4). That point is the vertex.

The graph crosses the y-axis at y = -3, so the y-intercept is (0, -3).

The graph crosses the x-axis at (-1, 0) and (3, 0). These points represent the solution to the equation y = 0.

  • The graph has a minimum.
  • The graph has a y-intercept at (0, -3).
  • The solutions ... are -1 and 3.
  • The vertex is located at (1, -4).
  • In the equation, 'a' would be positive.
5 0
3 years ago
Type the least common multiple of 4 and 6.
eimsori [14]
The least common multiple of 4 and 6 is 12.
5 0
3 years ago
What the answer is and what it is as a mixed number
qaws [65]
-17/6 is the unequal fraction answer. To put it as a mixed number, you simply divide it like it's set up and put the remaining 'leftovers' as the fraction. 12 divided by six equals two, leaving us with five left over, so the answer is 12 5/6
8 0
3 years ago
What is the distance between (-2,-3) and (1, -3) ? units 0-1) units O units O 3 units​
iren2701 [21]

Step-by-step explanation:

Hi... Your answer is 3 units

8 0
3 years ago
Help me please PRECALCULUS correct answers only please
elena-14-01-66 [18.8K]

In triangle ABC, two angles angle A  and C  are already given

Angle A =33.7

Angle C = 26.4

We know that the sum of angles in a triangle is 180 degree

Angle A + B + C = 180

33.7 + angle B + 26.4 = 180

60.1 + angle B = 180

Angle B = 119.9 degrees

Now we use sin angle formula to find b. Given a=24

\frac{sin (A)}{a} =\frac{sin(B)}{b}

\frac{sin(33.7)}{24} =\frac{sin(119.9)}{b}

b =\frac{sin(119.9)*24}{sin(33.7)}

b = 37.4979

Round answer to two decimal places

b = 37.50


8 0
3 years ago
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