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blagie [28]
3 years ago
6

Biologists tagged 196 fish in a lake on January 1. On February​ 1, they returned and collected a random sample of 42 ​fish, 14 o

f which had been previously tagged. On the basis of this​ experiment, approximately how many fish does the lake​ have?
Mathematics
1 answer:
erastovalidia [21]3 years ago
3 0

Answer:

approximentley 588 fish live in the lake

Step-by-step explanation:

42 divided by 14 =3

196 multiplied by 3=588

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Use the quadratic formula to find both solutions to the quadratic equation given below 3x^2-x+6=0
Mrac [35]

Hello from MrBillDoesMath!

Answer:

Choice E and F

Discussion:

From the quadratic formula with a = 3, b = -1, and c = 6

x =  ( -b +\- sqrt(b^2 - 4ac)  ) / (2a)       => substitute in a,b,c from above

x = ( -(-1) +\- sqrt((-1)^2 - 4(3)(6)) / (2*3)  => discriminant = 1 - 72 = -71)

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which are choices E and F

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A vehicle traveled at a speed of 54 kilometers per hour for 3 hours. find the distance traveled
skad [1K]

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3 years ago
In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample. To determine
zimovet [89]

Answer:

(a)  0.2650

(b)  0.0111

(c)  0.0105

(d)  0.0006

Step-by-step explanation:

Given that:

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample.

Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with mean μ = 15.       &;

If the area of the agar plate is 75cm²;

what is the probability  of observing fewer than 4 CFUs in a 25 cm² area of the plate.

We can determine the mean number of CFUs that appear on a 25cm² area of the plate as follows;

75cm²/25cm² = 3

Since;

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mean number of CFUs that appear on a 25cm² = 15/3 = 5 CFUs

Thus ; the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate is estimated as:

= P(X < 4)

Using the EXCEL FUNCTION ( = poisson.dist(3, 5, TRUE) )

we have ;

P(X < 4) = 0.2650

b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs?

Given that the total number of CFUs = 5 plates; then the mean number of CFUs in 5 plates =  15×5 = 75 CFUs

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c) Repeat the probability calculation in part (b) but now use the normal approximation.

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use the normal approximation

From standard normal variable table:

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Using normal table

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(d)  Find the difference between this value and your answer in part (b).

So;

the difference between the value in part c and part b is;

=  0.0111 - 0.0105

= 6*10^{-4}

= 0.0006 to four decimal places

5 0
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kakasveta [241]

Answer:

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Step-by-step explanation:

8 0
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