Answer:
0.9855 or 98.55%.
Step-by-step explanation:
The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:

The probability that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.
THEOREM:
- <u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
- x² = 12² + 9²
- x² = 144 + 81
- x² = 225
- x = √225
- x = 15 units.
So, <u>Correct choice</u> - [C] 15 units.
the measurement for 18.9 m is 0.05
Answer:
7.
I) must be true
II) 1 - 1 < 2 - 4 --> false
III) (-10)*(-10) < 1*1 --> false
IV) 1/2 < 2/10 --> false
So (B) 1 must be true
8.
x!·(x + 1)!/2 = (x + 1)!^2 / (2·(x + 1)) = (17 + 1)!^2 / (2·(17 + 1)) = 18!^2 / 6^2
(D)
9.
2·√3·6 = √((2·√3)^2 + 6^2)·h --> h = 3 --> (C)