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Reil [10]
2 years ago
13

a) Students returning to a secondary school have to pass through a check point at the rate of 50 per though. The average time fo

r checking is 35 seconds. The arrival rate and service rate follow a Poisson distribution. There is a delay and the principal is willing to include another check point to reduce the average time of checking to 28 seconds if the idle time is less than 10% and the average queue length is more than 10 students, check whether the introduction of an extra check point is justifiable
Mathematics
1 answer:
Annette [7]2 years ago
6 0

Answer:

175

Step-by-step explanation:

Average queue length = (arrival rate * service time) / (1 - arrival rate * service time)

For the given problem, the average queue length is:

Average queue length = (50 * 35) / (1 - 50 * 35)

= 175

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Write a 2 column proof showing segment ML is congruent to Segment OL.
Allisa [31]

The statements and Reasons correspond to each other by the numbers listed.

Let C = congruent in place of the congruent symbol. I don't have it on my keyboard.

Statements

1. Side MN C Side ON.

2. LN is C to LN.

3. Angle LNM is C to angle ONL

4. Angle NML is C to angle NOL

5. ML is C to OL

Reasons

1. Given

2. Reflexive Property

3. Definition of angle bisector

4. SAS Postulate

5. Side NL cuts MO in half

6 0
2 years ago
n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
Olenka [21]

Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \mu_ 1  = \$239,000

    The sample mean for Ascension parish  is \= x_2  = \$246,000

   The  p-value  is  p-value  =  0.045

     The level of significance is  \alpha = 0.01

The null hypothesis is  H_o : \mu_2  = \mu_1

The  alternative hypothesis is  H_a  :  \mu_2 > \mu_1

Here \mu_2 is the population mean for Ascension parish

   From the data given values we see that  

          p-value  >  \alpha

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0
3 years ago
I need help simplifying 8^3
Dafna1 [17]
8^3 = 512
8^3 also eqauls 8 x 8 x 8. 
I hope I helped!
6 0
3 years ago
Read 2 more answers
It takes 1/2 cup of flour to bake 2 dozen cookies how many cups of flour are needed to bake enough cookies for 36 people to have
Olegator [25]

Answer:

72

Step-by-step explanation:

36 x 2 = 72

To check your answer:

72 / 2 = 36

5 0
3 years ago
What is the solution of x+4/2x-1<0
Vikentia [17]

Answer:

\large\boxed{ -4

Step-by-step explanation:

Domain:\ 2x-1\neq0\to x\neq\dfrac{1}{2}

\dfrac{x+4}{2x-1}

(x+4)(2x-1)=(x)(2x)+....=2x^2+...\to 2>0\\\\\text{therefore the parabola is op}\text{en up}

\text{Look at the picture.}

\dfrac{x+4}{2x-1}

3 0
3 years ago
Read 2 more answers
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