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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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Answer:

Step-by-step explanation:

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3 years ago
How many solution does 6-3x=4-x-3-2x
-Dominant- [34]

Answer:

Step-by-step Simplifying

6 + -3x = 4 + -1x + -3 + -2x

Reorder the terms:

6 + -3x = 4 + -3 + -1x + -2x

Combine like terms: 4 + -3 = 1

6 + -3x = 1 + -1x + -2x

Combine like terms: -1x + -2x = -3x

6 + -3x = 1 + -3x

Add '3x' to each side of the equation.

6 + -3x + 3x = 1 + -3x + 3x

Combine like terms: -3x + 3x = 0

6 + 0 = 1 + -3x + 3x

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Combine like terms: -3x + 3x = 0

6 = 1 + 0

6 = 1

Solving

6 = 1

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

3 0
3 years ago
What is the answer ?
marissa [1.9K]

Answer:

    31415 92653

Step-by-step explanation:

The result of the integral is π. The first 30 digits of π are ...

  3.14159 26535 89793 23846 26433 8327 ...

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7 0
3 years ago
4 Points
Vladimir [108]

Answer:

35

Step-by-step explanation:

One is given the following function (y=3x+5). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:

y=3x+5

y=3(10)+5

y=30+5

y=35

4 0
3 years ago
The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applie
nikklg [1K]
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.

Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
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The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.

From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
6 0
3 years ago
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