We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:
Now, we create another column with the product of "x" and "y". Like this:
Now, we will add another column with the squares of the values of "x". Like this:
Now, we add another column with the squares of the values of "y":
Now, we sum the values on each of the columns:
Now, to get the correlation factor we use the following formula:
Where:
Now we substitute the values, we get:
Solving the operations:
Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.
Answer:
C
Step-by-step explanation:
Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B
Next we can use the equation that is used in order to find the vertex of the parabola.
A)
As the vertex is at x=3 on the graph, this one could be a contender.
C)
This also could be the equation
D)
This rules option D out.
For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)
A)
As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.
This means that option A can be ruled out
C)
As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.
(2,3) is your answer for the equation
Answer:
Option C is correct.
Step-by-step explanation:
The given function f(x) is:
f(x) = x^2 + 22x + 58
To find the vertex find and add and subtract it from both sides of the given function
b= 22, a= 1
Putting values:
Adding (11)^2 on both sides
f(x) = x^2 + 22x + 58 +(11)^2 -(11)^2
f(x) = x^2+22x+(11)^2 +58-(11)^2
a^2 +2ab+b^2 = (a+b)^2 Using this formula:
f(x)=(x+11)^2+58-121
f(x)=(x+11)^2-63
The vertex of the given function is (-11,-63)
The function is translated 4 units to right and 16 units up
The vertex of new function will be:
(x+4,y+16) => (-11+4,-63+16)
=> (-7,-47)
So, the vertex of new function is (-7,-47)
The function will be
(x+7)^2 -47
So, Option C is correct.
The answer would be a equilateral