Answer:
Perfect positive association
Step-by-step explanation:
Definition: A perfect positive association means that a relationship appears to exist between two variables, and that relationship is positive 100% of the time. Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase. (+1 indicates a perfect positive linear relationship)
Definition: A perfect negative association means that a relationship appears to exist between two variables, and that relationship is negative 100% of the time. Two variables have negative association when the values of one variable tend to decrease as the values of the other variable increase. (-1 indicates a perfect negative linear relationship)
Values between 0.3 and 0.7 (-0.3 and -0.7) indicate a moderate positive (negative) linear relationship.
From the graph we can see that this relationship shows perfect positive association (both variables increase and we can plot the straight line which will include all points)
Answer:
Negative linear relation
Step-by-step explanation:
When one variable increases (the price) while the other variable decreases (the number of hamburgers he sells) , a negative linear relationship exists.
The photo below may help you.
Answer:
Step-by-step explanation:
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Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
![FG=9,GH=7,CD=24](https://tex.z-dn.net/?f=FG%3D9%2CGH%3D7%2CCD%3D24)
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
![\dfrac{1}{2}DE=FG](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7DDE%3DFG)
![DE=2(FG)](https://tex.z-dn.net/?f=DE%3D2%28FG%29)
![DE=2(9)](https://tex.z-dn.net/?f=DE%3D2%289%29)
![DE=18](https://tex.z-dn.net/?f=DE%3D18)
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
![\dfrac{1}{2}CE=GH](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7DCE%3DGH)
![CE=2(GH)](https://tex.z-dn.net/?f=CE%3D2%28GH%29)
![CE=2(7)](https://tex.z-dn.net/?f=CE%3D2%287%29)
![CE=14](https://tex.z-dn.net/?f=CE%3D14)
Now, the perimeter of the triangle CDE is:
![Perimeter=CD+DE+CE](https://tex.z-dn.net/?f=Perimeter%3DCD%2BDE%2BCE)
![Perimeter=24+18+14](https://tex.z-dn.net/?f=Perimeter%3D24%2B18%2B14)
![Perimeter=56](https://tex.z-dn.net/?f=Perimeter%3D56)
Therefore, the perimeter of the triangle CDE is 56 units.
We can create equations to solve this.
2.50p + 1.50m = 29.50
p + m = 15
Solve for a variable in the 2nd equation and use the substitution method to solve.
p + m = 15
Subtract p to both sides:
m = -p + 15
Plug in -p + 15 for m in the first equation.
2.50p + 1.50(-p + 15) = 29.50
Distribute:
2.50p - 1.50p + 22.50 = 29.50
Combine like terms:
p + 22.50 = 29.50
Subtract 22.50 to both sides:
p = 7
Now plug this into any of the two equations and solve for the other variable.
p + m = 15
7 + m = 15
Subtract 7 to both sides:
m = 8
So he purchased 7 pineapples and 8 mangos.