Answer:
60%
Step-by-step explanation:
6 ÷ 10 = 0.6
Then, 0.6 can be made into a percentage by multiplying the decimal by 100 and then adding %.
0.6 x 100 = 60%
~Hope this helps!~
Answer:
a =
, r = 
Step-by-step explanation:
The sum to infinity of a geometric progression is
; | r | < 1
Thus for first progression
= 6 ( multiply both sides by (1 - r) )
a = 6(1 - r) → (1)
Second progression
= 7 ← multiply both sides by (1 - r² )
2a = 7(1 - r² ) = 7(1 - r)(1 + r) ← difference of squares
2a = 7(1 - r)(1 + r) → (2)
Substitute a = 6(1 - r) into (2)
2(6(1 - r) = 7(1 - r)(1 + r)
12(1 - r) = 7(1 - r)(1 + r) ← divide both sides by (1 - r)
12 = 7(1 + r) = 7 + 7r ( subtract 7 from both sides )
5 = 7r ( divide both sides by 7 )
r = 
Substitute this value into (1)
a = 6(1 -
) = 6 ×
= 
Answer:
Option b that is 1.33 is the right choice.
Step-by-step explanation:
Given:
Mean rate of arrival
= 8 planes/hr
Service time =
minute/plane
Mean service rate
=
=
planes/hr
Applying the concept Poisson-distributed arrival and service rates (exponential inter-arrival and service times)(M/M/1) process:
We have to find mean number of planes waiting to land that is mean number of customers in the queue .
Mean number of customers in queue
.
⇒
Considering,
,
is also mean number of customers in service.
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒
So,
Mean number of planes in holding and waiting to land = 1.33
Yes you would be able to determine the other measures of the triangle.