(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

Answers

Answer 1

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


Related Questions

What is the measure of angle 7?

Answers

50 degrees is the answer
Angle 7 is 50 degrees

What is the value of the expression 20/4 - (1/2 + 3 3/4)

Answers

Answer:

3/4

You need the LCD which is 4

3 + 1x2/2x2 + 3/4

3 + 2/4 + 3/4

3 + 2+3/4

3+5/4

3 + 1 1/4

20/4 - 4 1/4

20/4 - 4x4+1/4

20/4 - 17/4

5 - 17/4

5x4/4 - 17/4

20/4 - 17/4

3/4

PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
5x"y2 units squared, which of the following expressions represent the height of the cylinder?
(Hint: V = Bh)
O 100x®y
O 15wy?
o 4x®y?
O 4xy?

Answers

Answer:

100xy

Step-by-step explanation:

The height of the cylinder is 4x³y² unit.

The correct option is A.

What is a cylinder?

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A cylinder has a volume of 20x⁶y⁴ units cubed.

The base of the cylinder has an area of 5x³y² units squared.

And the volume of the cylinder V = Base area x height.

So, 20x⁶y⁴ = 5x³y² (height).

The height of the cylinder = 20x⁶y⁴/ 5x³y²

The height of the cylinder = 4x³y²

Therefore,  4x³y² is the height of the cylinder.

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The complete question is given in the attached image.

CAN ANYONE HELP ME FIND THE ANSWERS TO QUESTION 2 !? ASAP .. DUE IN 15 MINS :(

Answers

Omg if I had my TI calculator I could help you !!

I really need help asap with this math homework,
It is due tonight.

Answers

Answer:1920

Step-by-step explanation:

Sorry if this is not accurate but here is how your gonna do it

Find the constant speed per hour (The quotient is 80) then multiply that by 24 which you will get 1920 Hopefull this helps and its correct :D

The sum of two numbers is
60
and the difference is
10
. What are the numbers?

Answers

Answer:

35 and 25.

Step-by-step explanation:

x+y=60

x-y=10

Subtract eq1 by eq2

x-x+y-(-y) = 60-10

2y=50

y=25.

x+25=60

x=35

Hope this helps :D

#Team Rainbows

Anna divided a sheet of paper into 5 equal sections in color 3 of the sections blue what percent of the paper did she color​

Answers

60/100 is 3/5 so Anna colored 60% of the paper blue

To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail.
(a) What percent of values must be chopped off from each tail for a 95% confidence interval?
(b) If the bootstrap distribution contains values for 1000 bootstrap samples, how many should be chopped off at each end to produce a 95% confidence interval?

Answers

Answer:

a

 [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

b

  [tex]N = 25[/tex]

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]

=>    [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      [tex]N = 1000 * \frac{\alpha }{2}[/tex]

=>   [tex]N = 1000 * 0.025[/tex]

=>   [tex]N = 25[/tex]

     

Answer:

Step-by-step explanation:

Hey


Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a
cup of lemonade, how many cups of lemonade did Carly use? Simplify your answer.

Answers

Answer:

carly used 1 1/4 cups of lemonade

Step-by-step explanation:

I think that is simplified

A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. About how many molecules does the ...

Answers

Answer: [tex]9.38\times10^{33}[/tex]

Step-by-step explanation:

Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]

A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.

Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]

[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]

Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.

hello I need help on this ​

Answers

Answer: well depends on how much points you scored in your last game

Step-by-step explanation:

2x+5y=10

x intercept=

y intercept=​

Answers

Answer:

x= 0/-8

y= 0/5

Step-by-step explanation:

Brain-List?

correct answer please
find the answer choices​

Answers

Answer:

Love and support from parents and respect parents

Being a positive role model to everyone and understands friends weaknesses

Compares body to others and obsessed about weight loss

Communicate well with parents and cooks food and do chores

Guidance on decision making in whatever situation and positive friendship

Knowledgeable on teenage health issues and admits faults

Step-by-step explanation:

I figured this out by matching the statements to the correct ending and if there was any I was unsure on I worked that out afterwards.

There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?

Answers

4 buses you just divide 211 by 48

Identify the solutions (roots) of the function y=x2 + 2x - 3​

please help

Answers

Answer:

x=1,-3

Step-by-step explanation:

Use the table to answer the following question.
Х
0
1
2
3
y
8
1
-6
-13
What is an equation that describes the relationship?
0
A. y = 8 - 7x
B. y = 7x + 8
O
C. y = 7x - 8
D. y = 8x - 7

Answers

the answer is option A

Which formula do we use to reflect over the y=x line
(x, y) → (y,x)
(x, y) → (-y, -x)
(x, y) = (-x, y)
(x, y) = (x, -y)

Answers

Answer:

the first one on the list because it said refect

For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5

Please explain in detail I am very confused about the whole thing thx for ur help in advance :)

Answers

Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

| 11-2 |
Please help me with this

Answers

Answer:

The answer is 9

Step-by-step explanation:

brainiest because im in a brother war please

50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m​

Answers

9514 1404 393

Answer:

  d.  50 x 10^-2 m​

Step-by-step explanation:

"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...

  50 cm = 50×10^-2 m

8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?

Answers

Answer:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

What is the value of the expression when a = 5, b = 4 , and c = 6?⁢

4a/2b−c


2

5

9

10

Answers

Step-by-step explanation:

9 +6=15-6=9

so your answer should be 9

mark me brainliest lol

Answer:

now you can say as brainliest to other person :)

PLS HELP IM IN THE MIDDLE OF A TEST PLSSSSSSSSSSSSSSSSSS AND GIVE ME THE RIGHT ANSWER PLSSSSSSS.

Answers

-1/2 dumb buchhhhhhhhhhhhhhhhh
It’s A, -1/2.

Hops that helps

name the property shown by each statement: d x e x 0 = 0

Answers

Answer:

Commutative Property of Multiplication. Associative Property of Multiplication.

Step-by-step explanation:

Use the figure to find the measure of the angle.Explain your reasoning.

Answers

Answer: angle 2 is 28

Step-by-step explanation:if angle (1) and (2) are supplementary which equals 180degrees; we know angle one is 152 degrees, so a simple 180-152= 28 degrees; so angle 2 is 28

Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M

Answers

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

To learn more about addition, please check: https://brainly.com/question/349488

How much is 3/5 of 31/8 ?

Answers

Answer:

2.325

Step-by-step explanation:

i used a calculator ,i think i did it right lol

I need help please and thank you !

Answers

Answer:

1 1/8  2 1/4 - 1 1/8= 1 1/8

Step-by-step explanation:

Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3

a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag

Answers

Answer:

[tex]Expected\ Value = 3[/tex]

Step-by-step explanation:

Given

[tex]Red\ Balls = 3[/tex]

[tex]Blue\ Balls = 1[/tex]

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]

[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]

[tex]P(Red\ Ball) = \frac{3}{4}[/tex]

[tex]P(Red\ Ball) = 0.75[/tex]

The expected value is then calculated as:

[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]

[tex]Expected\ Value = 0.75 * 4[/tex]

[tex]Expected\ Value = 3[/tex]

The probability distribution below shows the number of kittens in a litter, Find the probability that a cat will have at most 4 kittens * 7 points

Answers

The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

Calculation of the probability;

= Probability of 2 + Probability of 3 + Probability of 4

= 0.20 + 0.35 + 0.28

= 0.83

Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

Learn more about probability here: https://brainly.com/question/3066522

The probability that a cat will have at most 4 kittens is 0.83

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of kittens in the litter be = A

Now , when A = 2

The probability distribution is = 0.20

Now , when A = 3

The probability distribution is = 0.35

Now , when A = 4

The probability distribution is = 0.28

Now , when A = 5

The probability distribution is = 0.15

And , the probability that a cat will have at most 4 kittens is calculated by

P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )

               = 0.20 + 0.35 + 0.28

               = 0.83

Therefore , the probability that a cat will have at most 4 kittens is 0.83

Hence , The probability that a cat will have at most 4 kittens is 0.83

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