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
Nikolay [14]
3 years ago
13

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

rvives 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, 5 the second year, and 3 the third year.The population now consists of 144 members in each of the three age classes. How many members will there be in each age class in 1 year?0 ≤ age ≤ 1 = 1 ≤ age ≤ 2 = 2 ≤ age ≤ 3 = In 2 years?0 ≤ age ≤ 1 = 1 ≤ age ≤ 2 = 2 ≤ age ≤ 3 =
Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Answer:

After 1st year, the age distribution will be

x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]

After 2nd year, the age distribution will be

x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]

Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.

From the above information, we can construct a transition age matrix.

A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right]

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right]

How many members will there be in each age class in 1 year?

After 1st year, the age distribution will be

x_1 = A \cdot x

x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right]

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]

After 2nd year, the age distribution will be

x_2 = A \cdot x_1

x_2 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]

x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]

You might be interested in
X^4 -(3m+2)x^2 +3m+1 +0 <br> tìm m để phương trình có 4 nghiệm phân biệt nhỏ hơn 2
Kobotan [32]

Answer:

3

4

4

3

4

4

3

5

5

3

4

5

5

4848

Step-by-step explanation:

hope I helped

8 0
3 years ago
Help plz show work plz
Feliz [49]

Answer:   c) 286.5 in²

<u>Step-by-step explanation:</u>

S.A.= 2π r · h

      = 2π (7.3/2) · 12.5

      = 2π (3.65) (12.5)

      = 286.5

6 0
3 years ago
the cost of a soft drink varies directly with number of ounces you buy. IF 12 ounces cost $0.08 how many ounces of the soft drin
babunello [35]
30 ounces because 0.08 x 30=2.40
5 0
3 years ago
Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form
d1i1m1o1n [39]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of GF is 254 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Since a centroid of a triangle divides the median into a ratio of 2:1. Therefore, the ratio of AG: DG is,

AG / DG = 2/1

(19x+14)/(9x+20) = 2/1

19x + 14 = 18x + 40

19x - 18x = 40 - 14

x = 26

Assuming the triangle is an equilateral triangle, therefore, the length of GF will be,

GF = DG = 9x+20

GF = DG = 9(26) + 20

GF = 254 units

Hence, the length of GF is 254 units.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

6 0
2 years ago
A _____ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Hatshy [7]

A <em>function </em>is a rule that assigns each vale of the independent variable to exactly one vale of the dependent variable.

The missing word is the function.

Point to remember:

The definition says that two values of x(independent variable ) may correspond to one value of y(dependent variable) but the vice versa is not true( means two values of y(dependent variable ) does not correspond to one value of x(independent variable) ). This explanation is very powerful tool to check that whether a relation is a function or not.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help! A car traveled 100 miles on 5 gallons of gas. How far could that same car travel on 9 gallons of gas?
    5·2 answers
  • Which expression is equivalent to 8/9 divided by 3/4
    13·2 answers
  • Which one is bigger 25 mm or 3 cm
    5·1 answer
  • Two less than the product of 8 and a number is 8
    11·1 answer
  • What’s 56x34 please help me
    7·2 answers
  • Of the 10 people attending a seminar, 2 have red hair.
    12·2 answers
  • I need an answer ASAP with an explanation please!
    12·1 answer
  • 16 meters of rope, i want to cut pieces of rope 0.2meters long. how many pieces can cut?​
    6·1 answer
  • SOLVE ONLY C AND D PLS
    12·1 answer
  • CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER <br> IMAGE DOWN BELOW!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!