Who created Sports Illustrated?
2 answers:
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Answer:
Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.
Step-by-step explanation:
Given, the volume of the box, V = 180 feet cube
Let the height of the box, h = x feet
Therefore, length is, l = ( 9+x ) feet
And width is, b = ( x-4) feet
so volume of the box is
V = l x b x h
Factorizing we get
(x+5)(x-6)(x+6)=0
Therefore,
x = -5, -6, 6
Now since the height of the box cannot be negative, so taking the positive value of x, we get
Height of the box, h = x = 6 feet
Length , l = ( 9+x ) = 9+6 = 15 feet
Width , b = ( x-4) = 6-4 = 2 feet
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.
