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3 years ago

Find x such that 2x^2 +2x=12

Mathematics

1 answer:

solmaris [256]3 years ago

4 0

Answer:

2 and -3

Step-by-step explanation:

2x^2=4x

4x+2x=12

6x=12

how many times does 6 go into 12?

right, 2 times!

x=2

---

2x^2+2x-12=0

x^2+x-6=0

(x+3)(x-2)=0

X=-3 and 2

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nata0808 [166]

Answer:

11%

Step-by-step explanation:

The full circle graph represents 100% of the given population. All populations are given except for "three or more." Adding all percentages of each population should add up to 100%.

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Two absences: 21%

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Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inqui

Temka [501]

Answer:

It takes on average 3 minutes to service each student.

Step-by-step explanation:

In queueing problem, an M/M/1 queue model is an arrangement with a single queue, where arrivals at the queue are approximated by a Poisson distribution with mean λ and the service times follows an exponential distribution with mean μ.

The mean number of arrivals in this system is given by:

$\text{Avearge}=\frac{\rho}{1-\rho}$

Here the variable ρ is defined as:

$\rho=\frac{\lambda}{\mu}$

From the average number of arrivals in the system, we can calculate the average number of arrivals in the queue by subtracting the average number of arrivals in service.

That is,

$\text{Average arrivals in queue}=\frac{\rho}{1-\rho}-\rho=\frac{\rho^{2}}{1-\rho}$

The information provided is:

The average number of arrivals of customers is, λ = 12 students/hour.

The average service rate of a single server is, μ = 20 students/hour.

The average of an exponential distribution is:

$E(X)=\frac{1}{\mu}$

Compute the average time it takes to service one student as follows:

$E(X)=\frac{1}{\mu}$

$=\frac{1}{20}\\\\=0.05\ \text{hour}\\\\=3\ \text{minutes}$

Thus, it takes on average 3 minutes to service each student.

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