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
stich3 [128]
3 years ago
11

A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s

urvives the second year. The maximum life span is 3 years. (b) The average number of offspring for each member of the population is 3 the first year, 6 the second year, and 3 the third year. The population now consists of 112 members in each of the three age classes. How many members will there be in each age class in 1 year?
Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Answer:

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age  \leq 3}\end{array}\right

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 0 \  \leq  age   \leq  2 }\\{0 \  \leq  age   \leq 3}\end{array}\right]

Also , the age transition matrix is as follows:

L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]

After 1 year ; the age distribution vector will be :

x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]  \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq 1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age   \leq  3}\end{array}\right

You might be interested in
A grocery store charges $3.00 for 4 two-liter bottles of lemonade. David has $12.00 in his wallet. Since David is having a party
nevsk [136]
No because he will be $3.00 short.
So it is $0.75 a bottle. So then you multiply $0.75 by 20. You get $15.00
So David will not have enough in his wallet.
8 0
3 years ago
I really need help. I've been stuck on this question for almost an hour.
S_A_V [24]
Ma=Mc is the correct answer
8 0
3 years ago
Which expression is rational? 6.27316543222718… square root of 2 square root of 14. square root of 49
iogann1982 [59]
A rational number<span> is any </span>number that can be expressed as the quotient or fraction. It is also a number that does not repeat and/or go on forever (ex. pi or <span>3.1415926535</span><span>)

Soo, the rational number is 
the √49 

√49 = 7 7 is a rational number, also a whole number as well, how bout that.</span>
8 0
3 years ago
Read 2 more answers
What expression is equivalent to (9x^2 + 2x -7)(x - 4)
Dima020 [189]

Answer: C

Step-by-step explanation:

We can use the expanding rule to get that one if the expressions is

(9x^2 + 2x - 7)x + (9x^2 + 2x - 7)(-4)

3 0
2 years ago
Somebody please help !
vovangra [49]

Answer:

Translation

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • There were 600 soldiers in the battle the ratio of Texas soldiers to Mexican soldiers were 73 how many more Texan soldiers were
    7·2 answers
  • Given collinear points A, B, and C, is the statement below true or false?
    6·1 answer
  • A fair die is tossed. What are the odds in favor of the cube showing a number less than 3?
    13·1 answer
  • Which one is correct
    6·2 answers
  • The prices for different types and amounts of building bricks are given. Select the options that have the same cost per brick.
    13·1 answer
  • Can someone help me with this please ?
    9·1 answer
  • Write a simplified expression for the perimeter of the<br> figure at right.
    12·1 answer
  • Please help!! Will give brainliest if right! trools r rpeorted
    12·2 answers
  • 1.
    6·1 answer
  • Find the value of x. Round your answer to the nearest tenth.​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!