Answer: The corrected statement is A - B = -B + A.
Step-by-step explanation: Given that the subtraction of a matrix B may be considered as the addition of the matrix (-1)B.
We are given to check whether the commutative law of addition permit us to state that A - B = B - A.
If not, We are to correct the statement.
If the subtraction A - B is considered a the addition A + (-B), then the commutative law should be stated as follows :
A + (-B) = (-B) + A.
That is, A - B = -B + A.
Thus, the corrected statement is A - B = -B + A, not B - A.
Answer:
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Hello :
note 1 :
p(A|B) = p(A∩B)/<span> p(B)
note 2 :
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but : p(A)×p(B) = 0.44×0.75 = 0.33
conclusion :
<span>the events A and B are not independent ?</span>
Lets suppose his initial weight was 60 kilograms
A gain of 20% would make his new eight 60 + 20*60/100
= 60 + 12
= 72 kg
he lost 25% of this:-
= 72 - 25 * 72/100 = 54 kg
This = (54/60) * 100 = 90% of his beginning weight Answer