A refund of $3.15 on a $8.64 bill
2 answers:
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Given:
The recurring decimal is .
To prove:
Algebraically that the recurring decimal can be written as
.
Proof:
Let,
Multiply both sides by 100.
...(i)
Multiply both sides by 10.
...(ii)
Subtract (i) from (ii).
Divide both sides by 900.
So, .
Hence proved.
Answer:
(x) = x - 5
Step-by-step explanation:
Let y = f(x) and make x the subject
y = x + 5 ( subtract 5 from both sides )
y - 5 = x
Change y back into terms of x, thus
(x) = x - 5
Use the definition of conditional probability:
We know that 0.10 of students belong to both categories, and that 0.25 of students are seniors, so