Answer:
x = 8
Step-by-step explanation:
let x = a number
6x - 7 = 41
<u> +7 +7</u>
6x = 48
divide by 6
x = 8
<em><u>Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!</u></em>
<em><u>-Lil G</u></em>
Answer:
(a) Average number of cars in the system is 1
(b) Average time a car waits is 12 minutes
(c) Average time a car spends in the system is 2 minutes
(d) Probability that an arrival has to wait for service is 0.08.
Step-by-step explanation:
We are given the following
Arrival Rate, A = 2.5
Service Rate B = 5
(a) Average Number of Cars in the System is determined by dividing the Arrival Rate A by the difference between the Service Rate B, and Arrival Rate A.
Average number of cars = A/(B - A)
= 2.5/(5 - 2.5)
= 2.5/2.5 = 1
There is an average of 1 car.
(b) Average time a car waits = A/B(B - A)
= 2.5/5(5 - 2.5)
= 2.5/(5 × 2.5)
= 2.5/12.5
= 1/5
= 0.20 hours
Which is 12 minutes
(c) Average time a car spends in the system is the ratio of the average time a car waits to the service rate.
Average time = 0.2/5
= 0.04 hours
= 2.4 minutes
Which is approximately 2 minutes.
(d) Probability that an arrival has to wait for service is the ratio of the average time a car waits to rate of arrivals.
Probability = 0.2/2.5
= 0.08
Answer:
3h+7/h
Step-by-step explanation:
the parenthesis in g(4+h) is saying that is x. plug in 4+h in the x and evaluate.
so you would get 3(4+h)-5. distribute the 3 and get 12+3h-5. combine like terms to get 3h+7!
then it's just over h because you can't simplify anymore. so the real answer is 3h+7/h!!
Answer:
P=90
q=122
Step-by-step explanation:
<span>"ratio of princesses to celebrities is 3:1"
The are 3 more times princesses as celebrities.
</span>"<span>The ratio of superheros to princesses is 5:4"
For each 4 princesses, there are 5 superheroes.
For 1 celebrity, there are 3 pincesses.
For 4 celebrities, there are 12 princesses.
For 12 princesses, there are 15 superheroes.
The ratio of celebrities to princesses to superheroes is
4:12:15 or 4x:12x:15x
Add them: 4x + 12x + 15x = 31x
31x = 93
x = 93/31 = 3
Celebrities: 4x = 4(3) = 12
Princesses: 12x = 12(3) = 36
Superheroes: 15x = 15(3) = 45
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