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lubasha [3.4K]
3 years ago
5

Observe the following graph: What is the exact value of cos0

Mathematics
1 answer:
ANEK [815]3 years ago
7 0

Answer:

(Sqrt)2/2

Step-by-step explanation:

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Assume a warehouse operates 24 hours a day. Truck arrivals follow Poisson distribution with a mean rate of 36 per day and servic
kirill [66]

The expected waiting time in system for typical truck is 2 hours.

Step-by-step explanation:

Data Given are as follows.

Truck arrival rate is given by,   α  = 36 / day

Truck operation departure rate is given,   β= 48 / day

A constructed queuing model is such that so that queue lengths and waiting time can be predicted.

In queuing theory, we have to achieve economic balance between number of customers arriving into system and that of leaving the system whether referring to people or things, in correlating such variables as how customers arrive, how service meets their requirements, average service time and extent of variations, and idle time.

This problem is solved by using concept of Single Channel Arrival with exponential service infinite populate model.

Waiting time in system is given by,

w_{s} = \frac{1}{\alpha - \beta  }

        where w_s is waiting time in system

                   \alpha is arrival rate described Poission distribution

                   \beta is service rate described by Exponential distribution

w_{s} = \frac{1}{\alpha - \beta  }

w_{s} = \frac{1}{48 - 36 }

w_{s} = \frac{1}{12 } day

w_{s} = \frac{1}{12 }  \times 24  hour        ...it is due to 1 day = 24 hours

w_{s} = 2 hours

Therefore, time required for waiting in system is 2 hours.

           

                   

5 0
3 years ago
The universal set in this diagram is the set of integers from 1 to 15. place the integers in the correct place in the venn diagr
neonofarm [45]

Answer:


Step-by-step explanation:

Given :  universal set in this diagram is the set of integers from 1 to 15.

Solution :

The intersection of odd integer,multiples of 3 and Factors of 15 are 3,15

The intersection of odd integer and Factors of 15 are 1,5

The intersection of odd integer,multiples of 3 is 9

The remaining multiples of 3 are 6,12

The remaining odd integers are 7,11,13

Now the remaining integers are 2,4,8,10,14 and these integers must be placed in the boxes outside the circles Since they does not belong any intersection or odd integer or factor of 15 .

Refer the attached figure for the answer.

3 0
3 years ago
Read 2 more answers
In a group of 25 factory workers, 20 are low-risk and five are high-risk. two of the 25 factory workers are randomly selected wi
Aleks04 [339]
Let
L=event that a selected worker has low risk
H=event that a selected worker has high risk

We need to find
P(HL)+P(LH)
=5*20/(25*24)+20*5/(25*24)
=1/6+1/6
=1/3
6 0
3 years ago
FACTOR. THEOREM is x-3 a factor?!
Oduvanchick [21]

Answer:

Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)

Step-by-step explanation:

Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor.  The coefficients of the polynomial p(x) are {2  -5  -4  0  9}.

Setting up synthetic division:

3   /   2    -5    -4    0    9

                6     3    -3   -9

    -------------------------------

          2     1     -1     -3    0

Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.

3 0
3 years ago
At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50.
Viefleur [7K]

Answer:

A=3rd one

B=Yes, Its a straight line through the origin

C=1 cookie costs $0.75

Step-by-step explanation:

The reason why C is $0.75 is because of ratios.

2:$1.5

2 divided by 2=1

2 divided by $1.50=$0.75

$0.75 per cookie

4 0
2 years ago
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