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Bond [772]
2 years ago
14

(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of

the number of carp among those 20
Mathematics
1 answer:
marta [7]2 years ago
5 0

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

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igomit [66]

Answer: y=1/2x+5/2

Step-by-step explanation:

y-3=1/2 (x-1)

y-3(-3)=1/2x-1/2(+3)

y=1/2x-1/2+6/2

y=1/2x+5/2

hope this helped!!

3 0
3 years ago
How to solve 16 * 12.5
Mariana [72]

Answer: 200

Step-by-step explanation:

First I would do it like this.

12.5

X. 16

—————-

6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.

12.5

X 16

—————

750

+ 1250

——————-

Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.

5 0
3 years ago
Can i get a step by step for this?
jonny [76]

Answer:

  • x = 85°

Step-by-step explanation:

<u>Sum of interior angles of any triangle is 180°:</u>

  • 52° + 43° + x = 180°
  • 95° + x = 180°
  • x = 180° - 95°
  • x = 85°
8 0
3 years ago
What +2/3=11/12 equation
Luden [163]

Answer:

1/4

Step-by-step explanation:

1st: you need to make a common denominator for 2/3 and 11/12 that would be 12, so you would  keep 11/12 how it is but multiply the numerator and the denominator by 4 to get it to 12.

You would have ;

8/12+___=11/12

Then just do 11/12-8/12

so that would simplify out to 1/4

6 0
3 years ago
Read 2 more answers
What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?​
Alex

Answer:

\huge\boxed{18,475}

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}

We have

a_1=2\\d=17-2=32-12=47-32=15\\n=50

Substitute:

S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475

3 0
3 years ago
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