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3 years ago

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To determine the number of trout in a lake, a conservationist catches 132 trout, tags them, and throws them back into the lake

. Later, 22 trout are caught; 11 of them are tagged. How many trout would the conservationist expect to be in the lake?
The conservationist would expect that there are how many trout in the lake?

1 answer:

Drupady [299]3 years ago

4 0

I wish I knew I’m havin trouble

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Ber [7]

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3 years ago

Pleaseee someone help me in this question ihave bben eating for half an hour and no one helped me.

pav-90 [236]

Cross Multiply by 'x - 5'
Hence
y(x - 5) = 4 -3x
xy - 5y = 4 - 3x

Move all the terms containing an 'x' to one side of the equals and all the others to the opposite side.
xy + 3x = 4 + 5y
Factor out 'x'
x(y + 3) = 4 + 5y
'Cross' divide by 'y + 3'
x = ( 4 + 5y) / (y + 3 )

'x' is now the subject.

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3 years ago

Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What

RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

$I=Prt$ , where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years). (1)

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 , t= 5 years

He has just withdrawn $2,876. i.e. Future value = $2,876

Interest (I)=$2,876-$2,000=$876 [Subtract Principal value from Future value]

Substitute all the above values of P , t , and I in the formula (1) , we get

$876 =(2000)r(5)\\\\\Rightarrow\ r=\dfrac{876 }{2000\times5}\\\\\Rightarrow r=\dfrac{876}{10000}=0.0876$

In percent , $r=0.0876\times100=8.76\%$

Hence, the rate of interest = 8.76%

6 0

3 years ago

The Florida Fish and Wildlife Conversation Commission (FWC) plans to hire hunters to kill the Burmese python, an invasive specie

andrew-mc [135]

Complete Question

The complete question is shown on the first uploaded image

Answer:

FWOC should hire 70,000 hunters to completely remove the python in the area

Step-by-step explanation:

From the question we are given that the Initial Pythons $P_o=$ 100,000

And the final python $P_f$ $=100,000+\frac{P}{10,000}(100,000-P)$

$P_f = 100,000 + 10P -\frac{P^2}{10,000}$

For Max Number of Python

=> $\frac{dP_f}{dP} = 0$

=> $\frac{dP_f}{dP} =$ $100,000 -2P = 0$

=> $P = 50,000$

Hence the maximum number of pythons $Max_P$ $=100,000 +\frac{50,000}{10,000} (50,000)$

$=350,000$

Using Mathematical relations

from the Question

5 python is killed by = 1 hunter

1 python is killed by = $\frac{1}{5} \ hunters$

350 , 000 pythons are killed by = $\frac{350,000}{5}$

$= 70,000 \ hunters$

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3 years ago

Help me please ASAP

Mashutka [201]

Answer: $\frac{5}{35}$

Step-by-step explanation:

Since, the total number of contestant = 7,

Thus, the probability that out of 3 contestant, me and my friend is chosen

= $\frac{2_C_2\times 5_C_1}{7_C_3}$

= $\frac{\frac{2!}{2!0!}\times \frac{5!}{1!\times 4!}}{\frac{7!}{4!\times 3!}}$

= $\frac{1\times 5}{\frac{7\times 6\times 5\times 4!}{4!\times 6}}$

= $\frac{5}{35}$

⇒ Third Option is correct.

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3 years ago