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
Triss [41]
3 years ago
7

A researcher is interested in the lengths of brook trout, which are known to be approximately Normally distributed with mean 80

centimeters and standard deviation 5 centimeters. To help preserve brook trout populations, some regulatory standards need to be set for limiting the size of fish that can be caught. What is the probability of catching a brook trout less than 72 centimeters in length
Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:

P(X

And we can find this probability with the normal standard distirbution or excel and we got:

P(z

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 lenghts of a population, and for this case we know the distribution for X is given by:

X \sim N(80,5)  

Where \mu=80 and \sigma=5

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability with the normal standard distirbution or excel and we got:

P(z

You might be interested in
Which number has the same value as 7 X 1/1000
Yuki888 [10]
Thw answer would be 0.007
5 0
3 years ago
How much 75 octane gas and 90 octane gas should be blended to make 15 gallons of 88 octane gas
Lisa [10]
75x + 90(15-x)=88(15)

75x+1350-90x = 1320

-15x + 1350 = 1320

-15x= -30

x=2

the amount of 75 octane is 2 gallons
the amount of 90 octane is 13 gallons

Hope this helps.
3 0
3 years ago
Number 4 i don’t know how to do this one
Kruka [31]

Answer:

r= 3 h = 6 then use 3^2 + 6^2 = l^2

Step-by-step explanation:

3 0
3 years ago
What is the zero of the following function, f(x) = –(2/7) x − 10? ​
Stels [109]

Answer:

Step-by-step explanation:

the zeros of a function f are found by solving the equation f(x) = 0. Example 1. Find the zero of the linear function f is given by. f(x) = -2 x + 4 I hope this helps.

7 0
3 years ago
Name the Property of Equality that justifies the statement: If m<A + M<B = M<C. Then, M<A = M<C - M<B
adoni [48]
The subtracton property of equality allows you to subtract the same amount from both sides of an equation without changing the truth of the equation.
5 0
3 years ago
Other questions:
  • the local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups this morning. How many batches of c
    8·2 answers
  • John purchased a toy for his young daughter. The toy included nine colorful plastic pieces in the shape of the numbers from 1 to
    8·1 answer
  • The equation d=13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the subs
    7·1 answer
  • Seven friends picked 7 quarts of blueberries. Three of the friends will share 4 quarts blueberries equally and the other 4 frien
    9·1 answer
  • A recipe for lemonade calls for 1 cup of sugar and 5cups of water. How much sugar is used per cup of water?
    13·2 answers
  • I need help so bad this makes no sence
    9·1 answer
  • Ashton pick 6 pounds of pecans he wants to show the pecans equally among five of his neighbors how many pounds of pecans it's ne
    13·1 answer
  • Explain how to use a number line to find a decimal equivalent to 1 7/10
    5·2 answers
  • Express the ratio $36 in 4 days as a ratio in its simplest form
    7·1 answer
  • Look at the following number sequence. 3, 7, 11, 15, . . . Based on the pattern, what are the next two terms?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!