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liraira [26]
3 years ago
5

The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and the length

Mathematics
1 answer:
Helga [31]3 years ago
6 0

Answer:

Step-by-step explanation:

Represent the width by W.  Then, "The length of a rectangular field is 7 m less than 4 times the width" expressed symbolically is

L = 4W - 7 (dimensions in meters)

Recall that the perimeter formula in this case is P = 2L + 2W, and recognize that the perimeter value is 136 m.  After substituting 4W - 7 for L, we get:

136 m = 2(4W - 7) + 2W, or

136 = 8W - 14 + 2W, or

150 = 10W        These three equations are equivalent mathematical statements.

150 = 10W reduces to W = 15 (meters).

Part A:  the independent variable is W, the width of the field.

Part B:  The mathematical statement is 136 m = 2(4W - 7) + 2W, which after algebraic manipulation becomes 150 = 10W.

Part C:  The above equation can be solved for W:  W = 15 meters.  This is the value of the independent variable.

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In a simple regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then it
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Step-by-step explanation:

Assuming the following options:

A.  there is a positive correlation between X and Y

B.  there is a negative correlation between X and Y

C.  if X is increased, Y must also increase

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E.  none of the above

If we want a model y = mx +b where m represent the lope and b the intercept

m=\frac{S_{xy}}{S_{xx}}  

Where:  

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\bar x= \frac{\sum x_i}{n}  

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And we can find the intercept using this:  

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On this case the correct answer would be:

E.  none of the above

Since the intercept has no association between the increase/decrease of the dependent variable respect to the independent variable

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