Answer:
perfect negative correlation
Step-by-step explanation:
correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.
What will be the change : it suggest whether change in value of one variable other will be increase or decrease .
If there is increase in one variable and other also increases it suggest there is positive correlation .
If there is decrease in one variable and other also decrease it suggest there is positive correlation .
how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.
If the value of correlation coefficient is high it means that change in value for one variable is high in to response change in other variable .
It values ranges from -1 to +1 high
while sign depicts type of relation that is positive or negative .
value from - 1 to + 1 depicts strength of the relation .
with - 1 depicting perfect negative correlation
+1 depicting perfect positive correlation.
In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.
D because say you got 2 boxes of pens, 20p would be 20(2)=40 you would have 40 pens.
Answer:
The solutions on the given interval are :
Step-by-step explanation:
We will need the double angle identity 
.
Let's begin:
Use double angle identity mentioned on left hand side:
Simplify a little bit on left side:
Subtract 
on both sides:
Factor left hand side:
![\sin(x)[4\cos(x)-1]=0](https://tex.z-dn.net/?f=%5Csin%28x%29%5B4%5Ccos%28x%29-1%5D%3D0)
Set both factors equal to 0 because at least of them has to be 0 in order for the equation to be true:
The first is easy what angles 
are 
-coordinates on the unit circle 0. That happens at and on the given range of 
(this is not be confused with the -coordinate).
Now let's look at the second equation:
Isolate 
.
Add 1 on both sides:
Divide both sides by 4:
This is not as easy as finding on the unit circle.
We know 
will render us a value between and 
.
So one solution on the given interval for x is 
.
We know cosine function is even.
So an equivalent equation is:
Apply 
to both sides:
Multiply both sides by -1:
This going to be negative in the 4th quadrant but if we wrap around the unit circle, , we will get an answer between and .
So the solutions on the given interval are :
