1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8_murik_8 [283]
3 years ago
12

Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll

ected by you colleagues, you know that the mean number of starfish in the tide pool you are studying is 6.4. You are worried that a recent decline in starfish numbers in nearby pools may indicate a coming problem for your tide pool. If you estimate that the ecosystem of your tide pool will face significant negative consequences if the number of starfish in it drops below 3, calculate the probability of this occurring.
Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...

P(X = x) = 0 otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

You might be interested in
Solve and recieve brain list ​
Mashutka [201]

Answer:

-x -7y=-15

y=3x-1

-x-7(3x-1)=-15

-x-21x+7=-15

-22x+7=-15

-22x=-15-7

-22x=-22

x=-22/-22

x=1

y=3x-1

y=3(1)-1

y=3-1

y=2

(1, 2)

4 0
3 years ago
Which equation can be used to find the measurement of ∠C? To the nearest degree, what is the measurement of ∠A? A) 5sin∠C = 2; 2
egoroff_w [7]
First guy is incorrect.Answer is actually B

7 0
3 years ago
Read 2 more answers
Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes. The distance from Hickory Hills t
beks73 [17]

Answer: V=51\ \frac{mi}{h}

Step-by-step explanation:

You need to used the following formula:

V=\frac{d}{t}

Where "V" is the speed, "d" is the distance and "t" is the time.

In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is \frac{1}{3}\ h) and the distance is 17 miles. Then, you can identify that:

t=\frac{1}{3}\ h\\\\d=17\ mi

Therefore, knowing these values, you can substitute them into the formula. Then, you get:

V=\frac{17\ mi}{\frac{1}{3}\ h}\\\\V=51\ \frac{mi}{h}

8 0
3 years ago
A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs
NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

7 0
3 years ago
No links or files, worth 25 points, please help!
zavuch27 [327]

Answer:

6

Step-by-step explanation:

2 to the power of 1 is 2, anything to the power of one is the original number itself. 3*2=6

3 0
2 years ago
Read 2 more answers
Other questions:
  • the length of the rectangular garden is three feet less than twice its width. if the perimeter is 42 feet, what is its length?
    10·1 answer
  • Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen
    11·1 answer
  • Complete the conditional statement<br> If a +2 A <br> Pls help!!
    5·1 answer
  • After eating La Huerta your subtotal was 25.72$ you want to leave a 15% tip. 15% as a decimal is
    6·1 answer
  • Find the sum of 5x + 20 and the opposite of 20. Write an equivalent expression in standard form. Do not include any spaces in yo
    5·1 answer
  • HELP PLS HELP ILL MARK YOU BRAINLEST
    9·1 answer
  • What is the sum of 43 and z is equal to 72.98.
    14·1 answer
  • 3x + y = 4 6x + 4y = 6 equivalent equation and solution
    10·1 answer
  • X^2 -50x+456=0 solve this algebraiclly find x
    5·2 answers
  • Hey can you please give me the answer to this?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!