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4 years ago

Calculate the Average of...

2 answers:

6 0

The average of a group of numbers can be found by dividing their sum by the size of the group. In this case, each problem involves two numbers, so the pair would be added and then halved.

a. 3 + 43 = 46
46 / 2 = 23
b. (-7.5) + 7.5 = 0
0 / 2 = 0
c. (-8) + 7 = (-1)
(-1) / 2 = (-1/2)

lesantik [10]4 years ago

3 0

You add them and then divide by how many numbers there are.

a. (3+43)/2 = 23
b. 0
c. -1

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In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban po

Sedbober [7]

Answer:

City @ 2017 = 8,920,800

Suburbs @ 2017 = 1, 897, 200

Step-by-step explanation:

Solution:

- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:

0.94*p_c + 0.04*p_s = p_c'

0.06*p_c + 0.96*p_s = p_s'

- Assuming 6% moved while remaining 94% remained settled at the time of migrations.

- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1$

- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1$

- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o$

- Where,

$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

- The population in 2017 x_2 would be:

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right]$

5 0

4 years ago

A movie theater used y=2.44x to calculate how much money they made selling buckets of popcorn where y is the total and k is the

kiruha [24]

Answer:

2.44x5 that will, get ur aswner

Step-by-step explanation:

3 0

3 years ago

#16. Do the ordered pairs (-5,19), (-1,7),(3,-5),(6,-14), and (9,-23) represent a linear function? How do you know?

Valentin [98]

Yes but I don't know how to explain i wish i could help more sorry

6 0

3 years ago

What number makes 3 and 71 divisible by 9?

Snezhnost [94]

3 only
7 only 
1 only 
1, 4, and 7 
do you mean which digit is added to 371 so that it is divisible by 3 
test for 3, sum of digits divisible by 3 
3 + 7 + 1 = 11 
if you add 3, 11 + 3 = 14 not divisible by 3 
if you add 7, 11+ 7 = 18 divisible by 3 
if you add 1, 11+ 1 = 12 divisible by 3 
if you add 1, 4, 7 divisible by 3

4 0

3 years ago

Help please Find the surface area, including the floor, of his tent.

natita [175]

Answer:

52.8 m. sq.

Step-by-step explanation:

2.6 x 1.5 + 1.5 (3) = 7.8 / 2 = 3.9 x 2 = 7.8 (Triangles)

3 x 5 = 15 x 2 = 30 (Side Rectangles)

5 x 1.5 + 1.5 (3) = 15

15 + 30 + 7.8 = 52.8 m. sq.

Hope this helps!

If something is wrong, please let me know.

3 0

3 years ago