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:
<h2>
240.34</h2>
Step-by-step explanation:
ΔA = 90° - 31°
= 59°
sin A = perpendicular ÷ base
sin 59° = 400 ft ÷ y
1.6643 = 400 ft ÷ y
y = 400 ÷ 1.6643
y = 240.34 ft
<h2>
MARK ME AS BRAINLIST</h2>
The answer is a 8 days. the equation say's at the beginning of the day he read's 50 page's and later read's 14. this is everyday so. add 50+14+64. divide 400 by 64 and you get 7.8125, round that up and you get 8<span />
Angle B = 54°
Step-by-step explanation:
complimentary means they add up to 90
54 + 36 (angle A) = 90
also x= 51
To find the slope of g(x), use the slope formula(m):
And plug in two points, I will use:
(0, 2) = (x₁, y₁)
(5, 4) = (x₂, y₂)
You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:
Rise is the number of units you go up(+) or down(-) from each distinguished point
Run is the number of units you go to the right from each distinguished point
If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is 
Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A
