What is the percent between 4 and 3.80

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

zaharov [31]

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

$x_2 = A \cdot x_1$

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

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

4 0

4 years ago

Find the length of the variable w

miss Akunina [59]

Answer:

w = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar, then the ratios of corresponding sides are equal, that is

$\frac{BD}{BA}$ = $\frac{DE}{AC}$ , substitute values

$\frac{w}{w+2}$ = $\frac{3}{5}$ ( cross- multiply )

5w = 3(w + 2) ← distribute

5w = 3w + 6 ( subtract 3w from both sides )

2w = 6 ( divide both sides by 2 )

w = 3

6 0

3 years ago

Solve for m 18m-13m=25 m=

sveta [45]

Answer:

m=0

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the expected value of the winnings

blondinia [14]

<h3>Answer: 4</h3>

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Explanation:

Refer to the table below (attached image). I've copied your table and added a third row at the bottom. This new row is the result of multiplying each payout value with the corresponding probability.

Example: for the first entry of this row, have 2*0.45 = 0.9

Once that third row is filled out, you add up everything in that row. That will lead to the expected value.

The expected value is: 0.9+1.2+0.6+0.8+0.5 = 4

Interpretation: You expect, on average, to win $4 each time you play the game. This assumes that the cost to play the game is 0 dollars. If the cost is something else, then it will affect the expected value.

Because the expected value is not 0, this game is not mathematically fair (the bias is leaning in favor of the player).

4 0

3 years ago

Ramone is building a fence around the vegetable garden in his backyard Stevensville be in a shape of a right isosceles triangle

crimeas [40]

Well, since it is an isosceles triangle two of the sides are going to have to be equal in length, and since the hypotenuse of a triangle HAS to be greater than it's sides, then the two congruent sides are the ones that measure 12 feet. 12+12+16=40 So, Ramone will need 40 feet of fencing.

6 0

3 years ago