Represent the unknowns.
<span>Let x = length </span>
<span>since the width is 3/4 of the length, </span>
<span>Let (3/4)x = width </span>
<span>Recall that the area of rectangle is just width multiplied by the length, </span>
<span>A = w * l </span>
<span>Substituting, </span>
<span>432 = (3/4)x * x </span>
<span>432 = (3/4)x^2 </span>
<span>432 * 4/3 = x^2 </span>
<span>576 = x^2 </span>
<span>Get the square root of both sides, </span>
<span>x = 24 feet (length) </span>
Answer:
The Mean Absolute Deviation is 11
Step-by-step explanation:
Given:
325, 310, 289, 288, 285, 285, 285, 280, 280 and 273
Mean = 290
Required:
Calculate the Mean Absolute Deviation
Provided that we have the value of the mean to be 290 from the question; the following steps will calculate the Mean Absolute Deviation
Step 1: Subtract the mean weight from each weight
325 - 290 = 35
310 - 290 = 20
289 - 290 = -1
288 - 290 = -2
285 - 290 = -5
285 - 290 = -5
285 - 290 = -5
280 - 290 = -10
280 - 290 = -10
273 - 290 = -17
Step 2: Calculate the absolute value of the each results above
|35| = 35
|20| = 20
|-1| = 1
|-2| = 2
|-5| = 5
|-5| = 5
|-5| = 5
|-10| = 10
|-10| = 10
|-17| = 17
Step 3: Calculate the mean of the data above
Mean Absolute Value = 
Mean Absolute Value = 
Mean Absolute Value = 11
Hence, the Mean Absolute Deviation is 11
When we multiply or divide the same base with exponents we add or subtract, so for that to work the 0th power has to equal 1
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