Answer:
Probability = 0.58
Step-by-step explanation:
This problem is solve by using Baye's Probability.
Let P(A) = Probability that operator attended training course = 50% = 0.5
P(B) = Probability that operator not attended training course = 50% = 0.5
Also P(Q) = Probability that operator meet their production quotas
Then, P(Q|A) = 90% = 0.9
P(Q|B) = 65% = 0.65
P(A|Q) = ?
Then by Baye's Theorem,

⇒ 
⇒ P(A|Q) = 0.58
which is required probability.
35-3m
35- 3×4
35-12
=23
1+x/5
1+80/5
1+16
=17
1. Factor out the greatest common factor (GCF). (There will not always be one).
2. Count the number of terms.
3. Check to be sure each factor is prime, if not, repeat 1-3.
4. Check by multiplying the factors out to see if you get the original polynomial.
Answer: Because of gaps between the vertex of Pentagons and hexagon.
Step-by-step explanation:
The Pentagon has 5 sides and 5 vertex angles. While hexagon has 6 sides and six vertex angles
The sum of the angle of polygon is equal to ( n - 2 )180
Sum of the angle of a Pentagon will be: (5 - 2)×180 = 540
Each vertex angle of a Pentagon = 540/5 = 108
Sum of the angle of hexagon will be: (6 - 2)×180 = 720
Each vertex angle of a hexagon =
720/6 = 120
To interlock Pentagon and hexagon, the sum of the combination of vertex angles of both must be equal to 360 ( sum of the angles at a point = 360)
Since there is no number of combinations that can be equal to 360, there will surely be a gap.