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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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8 0
3 years ago
Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?
emmasim [6.3K]

Answer:

270

Step-by-step explanation:

45 * 6 = 270

7 0
3 years ago
Read 2 more answers
You visit your local bank to see how long it will take for $1,200 to amount to $2,100 at a simple interest rate of 7%. The time
Liono4ka [1.6K]
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4 years ago
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
4 years ago
What is the first quartile in this box plot? Enter your answer in the box.
Gemiola [76]

Answer:

I think the first quartile is 30

Step-by-step explanation:

To find the quartiles you would look at the end points of the box.

6 0
3 years ago
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