Part 1. Commutative Property of Multiplication is, simply put, the rearrangement of the individual terms which does not affect the final answer. If a×b = ab, b×a is also equal to ab. For example: 2×5×9×3 is equal to 5×3×2×9 or 9×2×5×3 and any other combination there is. It won't matter because the answer would still be 270.
Part 2. Symmetric Property of Equality could be thought of as a reflection of algebraic expressions wherein the mirror is the '=' symbol. According to its definition, a=b is the same as b=a. As an example, 2 + 2 = 4 is just equal to 4 = 2 + 2. These equations are dependent.
Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99
option b is the correct answer.
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Answer:
Total number of eggs in basket = 56
Step-by-step explanation:
Let z be the total number of eggs
Green eggs = 
× z ........1
Blue eggs = 
× z .......2
Rest of eggs = 26 ........3
The addition of 1, 2 and 3 is equal to z
× z + + 26 = z
+ 26 = z ∵GCF for 4 and 7 is 28
+ 26 = z
15z + (26 × 28) = 28z ∵ multiply both sides by 28
15z + 728 = 28z
28z - 15z = 728 .......... rearranging above equation
13z = 728 ⇒ z = 
⇒ z = 56
Total number of eggs = z = 56
