Point F is on circle C.
2 answers:
Answer
Find out the length of line segment GF .
To prove
In Δ GEF is a right triangle .
As shown in the diagram
GE = 10 units
EC = 7.5 units
By using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
GC² = GE² + EC²
= 10² + 7.5²
= 100 + 56.25
= 156 .25
GC = 12 .5 units
As shown in the diagram
CF is the radius of a circle .
CF = 7.5 units (As in the figure EC = 7.5 units)
GF = GC + CF
= 12 .5 units + 7.5 units
= 20 units
Therefore option (d) is correct .
Hence proved
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Answer:
a) 0.3125 per hour
b) 2.225 hours
c) 8.9 hours
d) 12.1 hours
e) 80%
Step-by-step explanation:
Given that:
mean time = 3.2 hours, standard deviation (σ) = 2 hours
The mean service rate in jobs per hour (λ) = 2 jobs/ 8 hour = 0.25 job/hour
a) The average number of jobs waiting for service (μ)= 1/ mean time = 1/ 3.2 = 0.3125 per hour
b) The average time a job waits before the welder can begin working on it (L) is given by:
c) The average number of hours between when a job is received and when it is completed (Wq) is given as:
d) The average number of hours between when a job is received and when it is completed (W) is given as:
e) Percentage of the time is Gubser's welder busy (P) is given as: