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grin007 [14]
3 years ago
15

The area of a rectangle is 14 yd2 , and the length of the rectangle is 3 yd less than twice the width. find the dimensions of th

e rectangle.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0
Let x be the width 
2x-3= length 

(2x-3)(x)=14
2x^2-3x=14 
2x^2-3x-14=0 
(2x- 7)(x+2)=0 
x=7/2 or x=-2

Since we know that negative values cannot exist in distance, we have to take 7/2 to as the correct answer. 

The width would be 3.5 yards 
Length= 2(3.5)-3 
=4 yards 

3.5 x 4 yards is the dimension of the rectangle 

Hope I helped :) 

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Step-by-step explanation:

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\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}

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The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.

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