Which number produces a rational number when added to 0.53?
2 answers:
Answer:
D produces a rational number
Step-by-step explanation:
Given: A rational number 0.53
To find : which number produces a rational number when added to 0.53
Solution : Now, we add each number one by one
Sum of any rational number with irrational number is always a irrational number
A. irrational number
=3.671393....= irrational number
B. irrational number
=2.766...... = irrational number
C. irrational number
=irrational number
D. rational number
=1.2442857142857142857142857...= rational number
as repeating numbers are also a rational number
Therefore, A,B,C are irrational number
and D is a rational number
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Number of possible outcome for tossing N coins =
Solution:
Possible outcomes when tossing one coin = {H, T}
Number of possible outcomes when tossing one coin = 2
Possible outcomes when tossing two coins = {HH, HT, TH, TT}
Number of possible outcomes when tossing two coins = 4
Possible outcomes when tossing three coins
= {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Number of possible outcomes when tossing three coins = 8
Therefore, the sequence obtained is .
If continue this sequence, we can obtain number of possible outcome for tossing N coins is .