Answer:
Answer explained below
Step-by-step explanation:
There is a difference between the two terms correlation and causation. Correlation does not always imply the causation, but causation always implies the correlation.
The correlation is only the statistical or numerical relationship between two variables even they are related or not, but the causation is the relationship between the two variables.
Causation indicates that the result of one variable is the result of the other variable.
For the given scenario, a researcher finds that wealthier nations generally have a greater percentage of the population employed in the public sector. There is a causal relationship exists between the percentage of the population employed in the public sector and wealth of the nation. If the nation is wealthier, then it causes an increment in the employees of the public sector.
The wealth of the nation is the cause for a greater percentage of the population employed in the public sector. If the wealth of nation will increase, the number of employees in the public sector will increase. If the wealth of the nation will decrease, the number of employees in the public sector will also decrease.
There is a positive relationship or association or you can say that there is a positive correlation exists between the two variable ‘wealth’ of a nation and percentage of ‘employees’ in the public sector.
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the following:
The constant of proportionality, which is represented as "k", describe the constant ratio of two quantities that are proportional (the independent and dependent variables).
In this case we know that the independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band.
Since the band consists of 3 woodwinds for every 7 members of the band, we can conclude that the constant of proportionality for this relationship is:
Answer:
Bumby Avenue is represented by the line:
y = -4*x - 7.
Primrose Avenue can be represented with:
8x + 2y = 17.
We may want to find the point where both avenues intersect.
Let's isolate y in this second equation:
2y = 17 - 8x
y = 17/2 - 8x/2 = -4*x + 17/2
Now we can see that the equation for Primrose Avenue has the same slope than the equation for Bumby Avenue, and when two linear equations have the same slope, means that the lines are parallel.
Then we can conclude that Primrose Avenue and Bumby Avenue are parallel, so they never meet eachother.
What you must do in this case is to find the roots of the polynomial.
We have then:
x ^ 2 + 20x + 100 = 36
Rewriting:
x ^ 2 + 20x + 64 = 0
The values of the roots are:
x1 = -4
x2 = -16
Remember that the values of the roots are what make the polinome zero
Answer:
x1 = -4
x2 = -16
Answer:A
Step-by-step explanation:
-7x^2-4x+20
-(7x^2+4x-20)
-(7x^2+14x-10x-20)
-(7x(x+2)-10(x+2))
-(7x-10)(x+2)
