A scatter plot with a very strong linear association will have a correlation that is close to +/-1
If it's a mixed fraction, then:
Answer:
In the graph we can find two points, lets select:
(2, 15) and (4, 30)
Those are the first two points.
Now, for two pairs (x1, y1) (x2, y2)
The slope of the linear equation y = s*x + b that passes trough those points is:
s = (y2 - y1)/(x2 - x1)
So the slope for our equation is
s = (30 - 15)/(4 - 2) = 15/2
then our linear equation is
y = (15/2)*x + b
now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)
15 = (15/2)*2 + b = 15 + b
b = 15 - 15 = 0
then our equation is:
y = (15/2)*x
Where we used a division and a multiplication.
28.80 + .20X = X
.20X = X - 28.80
1/5 = .20
X/5 = X -28.80
X = 5X - 144
Set the new X equal to the original X
28.80 + .20X = 5X - 144
172.8 + .20X = 5X
172.8 = 4.8X
36 = X
36$ is the original price
To check,
28.80 + (.20 x 36) = 36
28.80 + 7.2 = 36
36 = 36
Answer:
$80,000
Step-by-step explanation:
<u>Define the variables</u>:
Let x = "fish-flavored" chicken company investment (in dollars)
Let y = spray-on vitamins company investment (in dollars)
If Allen invested a total of $100,000:
⇒ x + y = 100000
Given:
- 3% profit on "fish-flavored" chicken investment
- 1% profit on pray-on vitamins investment
- Total profit = $2,600
⇒ 0.03x + 0.01y = 2600
Rewrite the first equation to make y the subject:
⇒ y = 100000 - x
Substitute into the second equation and solve for x:
⇒ 0.03x + 0.01(100000 - x) = 2600
⇒ 0.03x + 1000 - 0.01x = 2600
⇒ 0.02x + 1000 = 2600
⇒ 0.02x = 1600
⇒ x = 80000
Therefore, Allen invested $80,000 in the "fish-flavored" chicken company.
