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makkiz [27]
3 years ago
7

To estimate the number of lizards in a certain region, Sean traps 36 lizards and marks them. He releases these lizards and then

later catches 200, 16 of which are marked. What is the BEST estimate for the lizard population?
A) 400
B) 425
C) 450
D) 475
Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Answer:

The answer is C. 450

Step-by-step explanation:

12345678910

Next Question

Correct

The best estimate for the lizard population is 450.

marked lizards counted

total lizards counted

=  

total marked lizards

estimated lizard population

→  

16

200

=  

36

p

→ p = 450

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The answer should be
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Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv
Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

   = (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = \dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}

Let dD/dT = 0 to find the critical value we will get

\dfrac{70000000\left(291T^2-24298T+91800\right)}  = 0

Using formula of quadratic, we get the roots:

T =  79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8)    a negative value. Hence It is a maximum value

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D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

3 0
3 years ago
A research company desires to know the mean consumption of meat per week among people over age 23. A sample of 164 people over a
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Answer:

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Step-by-step explanation:

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Rounded to one decimal place

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8 0
2 years ago
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