Numerade

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Find the measures of the central tendency of the data: (Round the answer to 2 decimal places) 8141369151313 Mode(s): (Enter DNE if there are no modes) Mean: Median:

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An average of 50 customers per hour arrive at a small post office. Interarrival times are exponentially distributed. Each employee can serve a customer in 2.4 minutes on the average. Service times are exponentially distributed. a. Assume that there are 3 employees with a single line in front of them. How long a customer waits in the queue and in the system? What is the number of customers in the queue? What is the utilization in the system? (Use $P(L \ge 3) = 0.45$, 4 performance measures are asked) b. Assume that it costs $25 per hour for each employee, and the post office values the time a customer spends waiting in line (not in the system) at $15 per customer-hour. What is the cost of the system per hour? c. Now assume that the service time is a general distribution with standard deviation of service time=1.5 minute. (Same average service time as the one above). Find the same performance measures you found in a, approximately. d. What is the minimum number of servers for this system to be stable in the long-run?

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A client with obstructive sleep apnea (OSA) ambulates in the hallway with the nurse prior to bedtime and intervention is most important for the nurse to implement before leaving the client? A. Apply the client's positive airway pressure device. B Elevate the head of the bed to a 45 degree angle. C Lift and lock the side rails in place. D Remove dentures or other oral appliance.

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A grade 1 and 2 foot ulcer impacts what layer of skin

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In order to engage up to 70% of motor unit during Resisted Isometric Test, how long should the therapist hold the movement from the client?

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The central tenet of Reagan's approach to foreign policy was the belief that: the Palestine Liberation Organization (PLO) represented a serious threat to the United States. trading arms for hostages was an effective way to quietly negotiate with terrorists. the Soviet Union was a deadly enemy that threatened the United States. the Middle East needed United States intervention to achieve freedom. Israel could not be trusted.

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Question 6: (5+5=10 points) For any vertex $v$ in directed graph $G$, we denote by $v.d$ the time at which DFS on $G$ discovers (i.e., marks as "gray") the vertex $v$. Similarly, denote by $v.f$ the time at which DFS fully explores (i.e., marks as "black") the vertex $v$. Give counterexamples to the following statements: 1. If a directed graph $G$ contains a path from $v$ to $w$, and if $v.d < w.d$ in a depth-first search of $G$, then $w$ is a descendant of $v$ in the depth-first forest produced. 2. If a directed graph $G$ contains a path from $v$ to $w$, then any depth-first search must result in $w.d < v.f$.

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Find the electric flux through the surface defined by the 6 sides of the cube. $\Theta = -2C$ $\Theta = 2C$

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How would the process of environmental reevaluation contribute to moving nurses from contemplation/preparation to contemplation? Article 6: Effect of an ergonomics-based educational intervention based on the transtheoretical model in adopting correct body posture among operating room nurses.

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It is time for Santa to send presents to the well-behaved children! Santa will start his journey from Neverland where there are 30 villages in it. During December, Neverland faces huge snowstorms which slows down the process of delivering gifts. It is your job to help Santa make decisions so that the children can receive their gifts before Christmas. In data.xlsx, you are provided the distance between the villages in kilometers (d). Also, for each road between any two villages, you are given a value between [0,1] which is the probability that the road is out of use due to the snow (p). (a) Santa decides to consider the availability of the roads, because the parents may be stuck in the snow while walking. This time, Santa wants to choose the 4 centers considering that the parents from other villages can walk to a center only if the probability that the road is out of use is less than 0.60. (Again, Santa wants to minimize the longest distance that a parent walks.) Dataset looks like this: 0 0.654708 0.784391 0.540171 0.693454 0.397485 0.161874 0.654708 0 0.846397 0.290533 0.464021 0.502413 0.524501 0.784391 0.846397 0 0.330028 0.217106 0.80363 0.587272 0.540171 0.290533 0.330028 0 0.533494 0.557948 0.335367 0.693454 0.464021 0.217106 0.533494 0 0.266923 0.477766 0.397485 0.502413 0.80363 0.557948 0.266923 0 0.284315 0.161874 0.524501 0.587272 0.335367 0.477766 0.284315 0 Question 1: Formulate the models in each part separately. Question 2: Solve the models using CPLEX or any other solver (Xpress, GAMS etc.)

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ralph r.