The mean, median, and mode are equal to 1. So among the choices, the first one is correct - mean = mode
Mean - an <em>average </em>of the given set of number; to find this, add the numbers and divide it by 11 (the number of given data)
= (-1 + -1 + 0 + 1 + 1 + 1 + 1 + 2 + 2 + 2 + 3) / 11
= 1
Median - the <em>middle or center</em> of the given set; to find this, arrange the numbers in numerical order, then get the center or middle number as the median
= <span>-1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
= [</span><span>-1, -1, 0, 1, 1,] <u>1</u>, [1, 2, 2, 2, 3]
Mode - is the value that occurs most of the time in the given set; so obviously <em>number 1 occurred four times</em> so 1 is our mode
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Aloha there! :) The answer to your question is 113.04 sq inches.
Hope I helped! =D
A. Judy made a mistake between Steps 1 and 2
To factor
, you have to factor it as
, not
, because that will leave an extra 6x because of 8x - 2x.
Dy/dx (2x⁵ y³ - 4y/x)
dy/dx (2y³ x⁵ - 4y/x)
dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)
= 2y³ 5x⁴ - (-4y × 1/x²)
=
10x⁶ y³ + 4y
-------------------
x²
<u>Question 6</u>
1) 
, 
, O is the midpoint of 
, 
(given)
2) 
are right angles (perpendicular lines form right angles)
3) 
are right triangles (a triangle with a right angle is a right triangle)
4) 
(a midpoint splits a segment into two congruent parts)
5) 
(LL)
<u>Question 7</u>
1) 
are right angles), 
2) 
(reflexive property)
3) 
are right triangles (a triangle with a right angle is a right triangle)
4) 
(LL)
5) 
(CPCTC)
<u>Question 8</u>
1) 
, point D bisects 
(given)
2) 
are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) 
(definition of a bisector)
5) (reflexive property)
6) (LL)
7) 
(CPCTC)
