Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle
has a length of 4.5 feet and width of x feet. Not drawn to scale Rounded to the nearest tenth, what is the value of x?
A. 0.1 feet
B. 0.6 feet
C. 1.6 feet
D. 2.0 feet
A. 0.1 feet
B. 0.6 feet
C. 1.6 feet
D. 2.0 feet
2 answers:
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The correct option will be: C) 0.84
<u><em>Explanation</em></u>
Formula for Correlation coefficient :
First, for each point(x, y), we need to calculate x², y² and xy .
Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy
<em>(Please refer to the attached image for the table )</em>
Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480
'n' is the total number of data set, which is 7 here.
So, plugging those values into the above formula..........
So, the value of the correlation coefficient is 0.84
Option A
The solution is
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
3x + 6y = 1 ------ eqn 1
x - 4y = 1 ------ eqn 2
We have to find solution to system of equations
We can use substitution method
From eqn 2,
x = 1 + 4y -------- eqn 3
Substitute eqn 3 in eqn 1
3(1 + 4y) + 6y = 1
3 + 12y + 6y = 1
18y = 1 - 3
18y = -2
Divide both sides by 18
Substitute the above value of y in eqn 3
Thus solution is