Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Step-by-step explanation:
A relationship is said to have direct variation if ratio of second variable to the ratio of first variable remains constant.
A relationship is direct variation if 
where k is the constant.
Now checking if the given data is having direct variation or not.
x y
3 24
4 32
5 40
6 48
Now finding y/x
if y=24 and x = 3 then y/x = 24/3 = 8
if y=32 and x = 4 then y/x =32/4=8
if y=40 and x = 5 then y/x =40/5 =8
if y=48 and x = 6 then y/x =48/6= 8
Since the ratio of of second variable to the ratio of first variable remains constant i.e y/x =8 so, the linear relationship is direct variation.
Keywords: Direct Variation
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You can solve all together or separate.
so you do
8<4-x. subtract
-4 -4
4<-x divide
-1. -1
4>x
-4>x since you divide by negative the sign flips.
4-x<10
-4. -4
-x<6
-1 -1
x>-6
8<4-x<10
-4 -4. -4 subtract 4 on all 3
4<-x<6 divide -1 to all 3
-4>x>-6 you flip sign since you divide by negative.
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Answer:
4 customers
Step-by-step explanation:
Given that:
Mean Arrival rate (λ) = 4 cars per hour
Service rate (u) = 5 cars per hour
Using the queuing formula :
The average number of cars in the system can be obtained using the relation :
Number of customers in the system (L)
Number of customers in queue = (Lq)
L = Lq + (λ/u)
Lq = λ^2 / u(u - λ)
Hence,
Lq = 4^2 / 5(5 - 4)
Lq = 16/ 5(1)
Lq = 16/ 5
Lq = 3.2
L = 3.2 + (4/5)
L = 3.2 + 0.8
L = 4
We certainly wish him all the best, and caution him to be careful.
Exact form: 1019/57 Decimal form: 17.87... Mixed number form: 17 50/57 Reduce the expression, if possible, by cancelling the common factors
