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Vladimir [108]
2 years ago
9

A storm Flori performance most of the daily unit counts but the owner personally recorded that there was 61 units remaining afte

r three days and 33 units remaining after 13 daysUse these two data points to determine the equationFor the line of best fit for the stores inventory write the answer in decimal form

Mathematics
1 answer:
Kruka [31]2 years ago
7 0

Answer:

  y = -2.8x +69.4

Step-by-step explanation:

The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...

   y = (y2-y1)/(x2-x1)·(x -x1) +y1

For the given points, this is ...

  y = (33 -61)/(13 -3)·(x -3) +61

  y = -28/10(x -3) +61

  y = -2.8x +69.4 . . . . . the equation of the line through the given points

_____

<em>Comment on the problem</em>

A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.

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The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
3 years ago
Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18
mr Goodwill [35]

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

a_{n} = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

5 0
2 years ago
Risniel has 7 dogs. Danishka has 2 dogs. How many more dogs does Danishka have than Risniel?
alukav5142 [94]
14 beacause your multiplying 7x2 wich is 14
5 0
3 years ago
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The angles represented by the expressions (2x+46) and (3x-6) are complementary angles. find the measure of the larger angle. Im
ivolga24 [154]

Answer:

66

Step-by-step explanation:

complimentary angles add up to 90 so:

3x-6 + 2x +46 = 90

5x +40 = 90

5x = 50

x = 10

2(10)+46 = 66

3(10) - 6 = 24

8 0
2 years ago
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X + 1/4x = 15. What is the solution to the equation?
Sauron [17]

Answer:

Step-by-step explanation:

hello :

X + 1/4x = 15

multiply by 4 : 4x+x = 60

5x=60

now divid by 5 you have : x=12

7 0
3 years ago
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