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
11Alexandr11 [23.1K]
3 years ago
6

ecn 221 The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a s

tandard deviation of 3 inches. What lower limit should the State Game Commission set on length if it is desired that 80 percent of the catch may be kept by fishers
Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

a=14 -0.842*3=11.474

So the value of height that separates the bottom 20% of data from the top 80% is 11.474.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

X \sim N(14,3)  

Where \mu=14 and \sigma=3

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.8   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(z>-0.842)=0.8

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.842

And if we solve for a we got

a=14 -0.842*3=11.474

So the value of height that separates the bottom 20% of data from the top 80% is 11.474.  

You might be interested in
What is the quotient for 2 8/9 / (-5 8/9)
AveGali [126]
The answer is 2764 if I’m not mistaken
3 0
3 years ago
Read 2 more answers
How many feet does a car travelling at 65 MPH go in one second ?
Semenov [28]

Answer:

At 65 mph, keeping one second of following distance means the vehicle is traveling 100 feet behind the vehicle in front. It takes an automobile a minimum of 150 feet to stop. With a 100 foot gap plus the auto's stopping distance of 150 feet, an impact would occur within 250 feet.

4 0
3 years ago
Read 2 more answers
Jillian is participating in a book-reading contest to raise funds for her local library. For every book Jillian reads, her mothe
SpyIntel [72]
The equation is y=5x
9 books =45
21 books =105

3 0
3 years ago
Adam has 16.45 kg of flour, he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches of s
Doss [256]

Answer:

Each batch of scones needed 0.67 kg of flour

Step-by-step explanation:

16.45 - 6.4 = 10.05kg (remaining)

15 batches = 10.05kg

1 batch = 0.67kg

6 0
3 years ago
What is the product of -2x^3+x-5 and x^3-3x-4 ? (a) Show your work
saul85 [17]

Answer:

-3x3 - 2x - 4

Step-by-step explanation:

 ((((2•(x3))+x)-5x3)-3x)-4

 (((2x3 +  x) -  5x3) -  3x) -  4

Pulling out like terms :

4.1     Pull out like factors :

  -3x3 - 2x - 4  =   -1 • (3x3 + 2x + 4)

Polynomial Roots Calculator :

4.2    Find roots (zeroes) of :       F(x) = 3x3 + 2x + 4

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  4.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2 ,4

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -1.00    

     -1       3        -0.33        3.22    

     -2       1        -2.00        -24.00    

     -2       3        -0.67        1.78    

     -4       1        -4.00        -196.00    

     -4       3        -1.33        -5.78    

     1       1        1.00        9.00    

     1       3        0.33        4.78    

     2       1        2.00        32.00    

     2       3        0.67        6.22    

     4       1        4.00        204.00    

     4       3        1.33        13.78    

Polynomial Roots Calculator found no rational roots

Final result :

 -3x3 - 2x - 4

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
Other questions:
  • In a group of 60 students, 14 students take Algebra I, 20 students take
    10·1 answer
  • - 3/5 or - 0.6 which is greater
    9·2 answers
  • Is 2 1/2 equivalent to 2 3/6
    8·2 answers
  • First to answer gets brainlest! Hurry this is a test.
    14·1 answer
  • Which function can be used to find the marked-up price of a marble countertop depending on the area?
    6·2 answers
  • Identify the pair of angles
    12·1 answer
  • 2x^2-4x=t solve for t
    8·1 answer
  • Help anyone can help me do this question,I will mark brainlest.​
    12·2 answers
  • Fill in the missing number.<br><br> % of 40 = 36
    13·2 answers
  • 75-90 divided by 6 HELP ME ASAP PLS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!