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allsm [11]
3 years ago
9

You are doing a mark-recapture experiment to determine the population size of the MendAliens living on an island in my back yard

. Initially, you catch and mark 130 MendAliens, which you then release. Next, you capture 90 MendAliens, of which 20 are marked. What is your estimate of the population size of MendAliens living on the island in my back yard?
A. 130
B. 234,000
C. 29
D. 14
E. 585
Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Answer:

E

Step-by-step explanation:

When you perform an experiment on a population, the majority of the time, you cannot use the entire population, so instead you use a sample of that population.

In this case, you mark 130 MendAliens out of an unknown population. After that you capture 90, and see that 20 are marked. You can use this to assume that for every 90 MendAliens, you marked 20, so if you calculate that as a percentage, you would get 22.22%.

This means that you marked approximately 22% of the population, when you marked those 130 MendAliens. Using basic math, we can work backwards to calculate the total population.

Percentage (%) = Sample / Total

Inserting the values we know...

22.22% = 130 / Total

Rearranging the formula, we get...

Total = 130 / 22.22%

Since we know 22.22% is actually equal to (22.22 / 100)= 0.2222

Total = 130 / 0.2222

Total = 585

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Answer:

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Step-by-step explanation:

4 0
3 years ago
Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring? 10x3 3x2−20x
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Step-by-step explanation:

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8 0
2 years ago
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I need help with these three problems.... please help me????
viva [34]

12. Answer: 2130

<u>Step-by-step explanation:</u>

   T = -0.01y + 10.6

 9.2 = -0.01y + 10.6

<u>-10.6</u>    <u>            -10.6 </u>

 -1.4 = -0.01y

<u> ÷-0.01</u>  <u>÷-0.01 </u>

140  = y

"y" represents the number of years after 1990

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= 2130

**************************************************************

13. Answer: -0.0036° per foot

<u>Step-by-step explanation:</u>

Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = \frac{28 - 63}{16405-6562}

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14. Answer: $0.28 per kWh

<u>Step-by-step explanation:</u>

Same reason as #13

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rate = \frac{140-55}{500-200}

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8 0
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3 years ago
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