<u>Answer:</u>
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Answer:
1250
Step-by-step explanation:
30,000/24
divide both sides by 24 to get 1250.
Number of electronic systems = 6
(a) Number of defected systems = 2
Probability of getting at least one system is defective
1 defective and 1 non defective + 2 defective
= (2 C 1 ) x (4 C 1) + (2 C 2) / (6 C 2)
= 3 / 5
(b) four defective
2 defective and 2 non defective + 3 defective and 1 non defective + 4 defective
= (4 C 2 ) x (2 C 2) + (4 C 3 )(2 C 1) + (4 C 4) / (6 C 4)
= 1
Answer: 7/45, 7/18
Step-by-step explanation:5/9 - 2/5 = 25/45 - 18/45 = 25 - 18/45 = 7/45
and 1/2 - 1/9 = 9/18 - 2/18 = 7/18
(E) I, II and III
Given,
[email protected] = a + b - ab ∀ a, b ∈ Z ( set of all integers ),
For solving this question we need to remember the following properties of integers:
I. [email protected] = a + b - ab,
[email protected] = b + a - ba = a + b - ab
Thus, [email protected] = [email protected]
II. [email protected] = a + 0 - a × 0
= a + 0 - 0
= a
III. ([email protected])@c = ([email protected])+c - ([email protected])c
= (a + b - ab) + c - (a + b - ab)c
= a + b - ab + c - ac - bc + abc
= a + b + c - ab - bc - ac + abc,
Now, [email protected]([email protected]) = [email protected]( b + c - bc )
= a + (b + c - bc) - a(b+c - bc)
= a + b + c - bc - ab - ac + abc
= a + b + c - ab - bc - ac + abc.
Thus, ([email protected])@c = [email protected]([email protected])