Answer:
christmas
Step-by-step explanation:
Answer:
0.000298 = 0.0298% probability that the system will collapse
Step-by-step explanation:
Number of possible ways the system can fail:
2 lines from a set of 3 fail, or all three fail.
Two from a set of 3:
Can be A and B, A and C, or B and C. Three possible outcomes then.
The probability of each is:
0.01*0.01*0.99
Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.
All three:
Each with 0.01 probability.
a) What is the probability that the system will collapse
Both cases, so

0.000298 = 0.0298% probability that the system will collapse
Assuming you need to find the solution, it's x=3 and y=6
I used elimination
Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.
Answer: x=32
Step-by-step explanation:
Because a triangle is 180°, the missing angle in the triangle would be 60°.
Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.