Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
17x+3y+5 if you just want to add common factors
Answer:
0.5578
Step-by-step explanation:
Fingerprint correctly match 92 % of the time.
A novice that will correctly identify a match 75% the time.
Each of the attempts of matching a fingerprint with the individual is independent.
The number of pairs are 7.
a). So the probability that the expert will identify every pair correctly is
= 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92= 0.927 = 0.5578
