Can dilations be used to form scale copies of a figure?
1 answer:
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Answer:
a) Mean = $121
Sum of deviations = $0
b) Standard deviation = 41.19
Variance = 1696.67
Range = $120
Step-by-step explanation:
We are given the following data:
$91 , $176 , $108 , $115 , $56 , $157 , $144
a) Mean and sum of deviations
Sum of deviations =
-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0
The sum of deviations is zero dollars.
b) range, variance, and standard deviation
where are data points,
is the mean and n is the number of observations.
Sum of square of differences =
900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180
Sorted data: 56, 91, 108, 115, 144, 157, 176
Range = Maximum - Minimum
Range = 176 - 56 = 120
Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!
