A. There are 300 fish in a pond. 50 fish are tagged. If you catch one fish out of the pond, what is the probability that your fish is tagged? Write your answer in a fraction and a decimal. Explain and show your work.


B. Suppose you catch 100 fish out of this pond. How many of these fish would you expect to be tagged? Explain.

Answers

Answer 1

Answer:

B. 50

Step-by-step explanation:

Answer 2

Answer:

The probability is 16.6%

And if you catch 100 fish, you should expect at least 17 of them are tagged.

Step-by-step explanation:

Let A be the event of catching a tagged fish:

[tex]P(A) = \frac{50}{300} = \frac{1}{6} = 0.166[/tex]

Now if you catch 100 fish, each one has the probability of 1/6 and each event is independent of the other.

[tex]N = \frac{1}{6} * 100 = 16.6[/tex]


Related Questions

A coastal geologist estimates that a certain country's beaches are
eroding at a rate of 1.5 feet per year. According to the geologist's estimate,
how long will it take, in years, for the country's beaches to erode by 21 feet?
A. 14 years
B. 31.5 years
C. 28 years
D. 16 years​

Answers

21/1.5=14

14 years to erode

A hen has 50 eggs, she gives .5 to her hubby and they multiply that by 2 how much do they get

This question is just for fun :)

Answers

Answer: 50 lol it's the same

Step-by-step explanation: 50*.5 equals 25*2 equals 50 lol have a good day

Answer:

69

Step-by-step explanation:

it is a funny question

Help me please!! Thank you:)

Answers

The answer is the last one because you are plugging the x values in for x and solving it out for y.

Answer:

4, 12, 20, 28, 36

Step-by-step explanation:

to find Y you have to multiple x times 4 then subtract by 4

example: x=2 so you do 2(4) - 4

2(4) is 8 and 8 - 4 is 4

y = 4 and so on

1
What is the slope of the line that passes through (2, 2) and (5,4)?

Answers

Answer:

The slope of the line= 2/3

Step-by-step explanation:

(2, 2)=(x, y) and (5, 4)=(`x, `y)

The formula for finding slope= `y-y/`x-x

4-2/5-2

2/3

Therefore, the slope=2/3

8 oranges cost $.78. How much will he spend to buy 40 oranges

Answers

Answer:

$3.90

Step-by-step explanation:

To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.

If it is true that z2 - 6 = 19, then z2 + 6 = ?

Answers

The answer is probably the opposite which in this case would be -19 ?

Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 15 years

Answers

Answer:

360,000

Step-by-step explanation:

Alright so first we need to find 4% of 600,000

So we get 24,000 now we multiply this by 15

24,000 x 15 = 360,000

Hope this helps

a + 6 + 3a + 5a2 + 2a + a2 + 1

Answers

Answer:

6a2 + 6a + 7

Step-by-step explanation:

Find the 10th term of the arithmetic sequence in which 12 and d = 9.1.​

Answers

Answer:

The 10th term=93.9

Step-by-step explanation:

[tex]a_{10} =12+(n-1)9.1\\ = 93.9[/tex]

Simplify the following expression,

3 + 4(2b - 5)

Answers

Answer:

8b−17

HOPE I HELP BRAINLYY PLZZZ

One of the heaviest rainfalls recorded in Greentown in a 24-hour period was 178.8 centimeters. If the rainfall was constant. how many centimeter of rain fell during each hour​

Answers

Answer:

7.45cm

Step-by-step explanation:

178.8 ÷ 24 hours = 7.45 centimetres per hour.

Line L is shown in the coordinate plane.

What are the coordinates of D?

Answers

Answer:

The coordinates of D is actually (8,10)

Step-by-step explanation:

8,10

did the math by counting up with y and x axis

Answer:

y = (5x) / 4 <----Line l

Step-by-step explanation:

(y - 5)(8 - 4)=(x - 4)(10 - 5)

4y - 20 = 5x - 20

The solution of 25x=300 is

Answers

Divide by 25 on both sides which leaves you with x= 300/25. 300 divided by 25 is 12. So x=12

Answer:

The solution of 25x = 300 is 12 . The solution of 25x > 300 is all values greater than 12 .

Step-by-step explanation:

Since the solution to 12x = 300 is 12, any number that is greater than 12 will also be a solution!

-X + (1/2)y = 3
In slope intercept form

Answers

Answer:

moonano

Step-by-step explanation:

can someone please answer this question the person to get it right gets brainiest!

Answers

I think I only know the answers to 4 and 5 :)

5 = 9a + 12b
4 = subtraction

9. Only 12 students can be in the next school play.
Let t represent the number of students who tried
out for the play. The number of students who tried
out but did not get a role is 42.

Answers

T-42=12 so the is 54 and 54-42=12

If 150 miles is 25% of a race, what is the length of the entire race?
3,750 miles
600 miles
37.5 miles
6 miles

Answers

Answer:

600 miles

Step-by-step explanation:

150x4=600

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less.

How far, in miles, is it from P to Q?

Answers

Answer:

Distance=12 miles

Step-by-step explanation:

d=distance

t=time going

d/t=40 mph going

t-2/60=time returning      (2 minutes/60 minutes per hour)

d/(t-2/60)=45 mph returning

set up equations:

d=40t

d=45(t-2/60)

substitute:

40t=45(t-2/60)

40t=45t-90/60

40t=45t-3/2

0=5t-3/2

5t=3/2

t=0.3 hours or 18 minutes

(time returning=16 minutes)

substitute:

d=40t=40(0.3)

d=12 miles

P and Q are 12 miles far from each other.

Given that

Patrick drives from P to Q at an average speed of 40 mph

Also he drives from Q to P at an average speed of 45  mph

Let "s" be the distance between P and Q in miles.

Let "t" be  the time in minutes

There are 60 minutes in 1 hours

[tex]\rm So \;in \; "t" \; minutes \; there\; will\; be = \dfrac{t}{60} \ hours[/tex]

By the definition pf average speed we can write that

[tex]\rm Average \; Speed = \dfrac{Total \; distance }{Total \; time}\\[/tex]

The speed is given in two situations in miles per hour

Case 1  When average speed = 40 mph

[tex]\rm 40 = \dfrac{s}{t/60} \\\\\rm {40 = \dfrac{60s}{t} .....(1) }[/tex]

Case 2 When  average speed = 45 mph  

Given that Patrick takes two minutes less  

[tex]\rm 45 = \dfrac{s}{(t-2)/60} \\\\45 = \dfrac{60s}{t-2 } ....(2)[/tex]

Solving for "s" from equations (1) and (2) gives us

[tex]\rm \bold {s = 12}}[/tex]

So we can conclude that P and Q are 12 miles far from each other.

For more information please refer to the link given below

https://brainly.com/question/21470320

i cant figure out 5/4 divided by 3/5

Answers

Answer:

25/12 is the answer

I hope it helps you

Answer:

0.0833333333

Step-by-step explanation:

id.k if correct i just g00gled it

Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP

Answers

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

m∠A = 35°m∠C = 90°

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° =  180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

as

m∠A = 35°m∠C = 90°

so

Exterior angle = m∠A + m∠C

                        = 35° + 90°

                        = 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

An airplane can stay in the air for 6 hours..it has been in the air for 2.5 hours

Answers

-3.5 is your answer to this question

what is this 2x-5+22=?

Answers

Answer: 2x+17

Step-by-step explanation: add -5 and 22

Answer:[tex]\boxed{\boxed{\sf{2x+17}}}[/tex]Solution Steps:

______________________________

1.) Add −5 and 22:[tex]-5+22=17[/tex]

 - You could also solve this by  flipping the numbers around and subtracting 22 - 5, Which still gives you 17.

So your answer is [tex]\bold{(2x+17)}[/tex].

______________________________

Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.

Answers

Answer:

2.25 m/s

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

Let's calculate this, use points C(4,3), D(12,12)

(12 - 3)/(12 - 8) = 9/4 = 2.25 m/s

What is 3 1/4 as a fraction

Answers

Answer:

13 / 4

Step-by-step explanation:

The probability of an event is 0.001.
Which of the following best describes the event?

A The event will never occur.
B There is a small chance that the event will occur.
C The event is likely to occur.
D The event will definitely occur.

Answers

B

Step-by-step explanation:

it would be a if the chance was 0.000 but it's 0.001 so there is a very very small chance of it happening

Answer:

Step-by-step explanation:

0.001 means 1/1000

The answer depends on what is being described.

If you are putting money into a lottery if you got odds of 1 in a 1000, you'd jump for joy at such good odds.

If you are putting money into the stock market and the chances of getting any kind of return is 1/1000, I think you'd start looking for something else to do.

That said, I think the answer you want is B, but I'm not fond of the question.

help please WILL GIVE BRAINLIEST TO RIGHT ANSWER!​

Answers

D



jandjandiqbabjaneba

If anyone willing to help, I'll be glad :)

Answers

Answer:

22

Step-by-step explanation:

Since its a parallelogram, opposite sides are congruent. Therefore:

BC = AD

a - 1.5 = 20.5

  +1.5     +1.5

a = 22

Answer:

a=22

Step-by-step explanation:

a-1. 5 =20. 5 ( opposite side of parallelogram are equal )

or, a=20. 5+1. 5

or, a=22

you can do it from another side too.

2a-20. 8 = a + 1. 2 ( opposite side of parallelogram are equal )

or, 2a - a = 1. 2 + 20. 8

or, a = 22

Hope it will help you ☺✌

The perimeter of a rectangle is 48 cm. The length is 3 times as long as the width.
What is the width of the rectangle?
A. 4cm B.6cm C.8cm D.12.cm

Answers

The correct answer is c

F (x) = 3x+2 find f(-4)

Answers

Answer:

Step-by-step explanation:

All triangles are equal to ______ degrees

Answers

Answer:

180

Step-by-step explanation:

they are all equal too 180 degrees
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