When 2n is divided by 4 the remainder will be 2
Division is a simple operation in which a number is divided.
Given,
A whole number n which when divided by 4 gives 3 as remainder
We know,
Dividend = (Divisor × quotient)+ Remainder
Here,
Dividend = n
Quotient = 4
Remainder =3
Consider the divisor as a
Then,
n = 4a+3
Multiply both side by 2
2n= 2(4a+3)
2n= 8a+6
Split the term 6 and take common outside
2n= 8a+4+2
2n= 4(2a+1)+2
So, when 2n is divided by 4
Divisor = 2a+1
Remainder = 2
Hence, when 2n is divided by 4 the remainder will be 2
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Answer: a. 0.61
b. 0.37
c. 0.63
Step-by-step explanation:
From the question,
P(A) = 0.39 and P(B) = 0.24
P(success) + P( failure) = 1
A) What is the probability that the component does not fail the test?
Since A is the event that the component fails a particular test, the probability that the component does not fail the test will be P(success). This will be:
= 1 - P(A)
= 1 - 0.39
= 0.61
B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?
This will be the probability that the component does not fail the test minus the event that the component displays strain but does not actually fail. This will be:
= [1 - P(A)] - P(B)
= 0.61 - 0.24
= 0.37
C) What is the probability that the component either fails or shows strain in the test?
This will simply be:
= 1 - P(probability that a component works perfectly well)
= 1 - 0.37
= 0.63
The statement is true, but the inverse is false.
Answer:
The Answer to this problem is 150
Step-by-step explanation: