CloudRack provides web hosting services on their 5 servers. When a person requests a page from one oftheir hosted websites, the server must find the page and send it to the person's browser. These requestsarrive at the rate of 400 per second. The coefficient of variation of the interarrival times is 1. The processingtime for a server is 0.01 second with a coefficient of variation of 1.(Round your answer to 4 decimal places.)On average, how much time does a request take to be filled (i.e.,include time waiting for a server and the actual processing by theserver)?seconds

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Answered: CloudRack provides web hosting services…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The owner of a radio station wants to determine how much airtime songs take up. The owner collects the song length in seconds of 10 popular songs. The data are reproduced in the table below. Calculate the mode(s) using a TI-83. TI-83 plus, or TI-84 graphing calculator. Length of Songs in Seconds 279 219 298 134 206 293 165 227 230 212
Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy. Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Empathy Score 43 46 35 59 64 66 58 47 44 49 56 68 28 71 27 108 Brain Activity -0.129 0.389 0.019 0.378 0.016 0.419 0.109 0.515 0.149 0.746 0.245 0.57 0.219 0.716 0.364 0.762 Given that the equation for the regression line is y^=0.00709x−0.04187y^=0.00709x−0.04187, what is the residual (or deviation), yi−y^iyi−y^i, for subject 14?ANSWER: Speak
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A car company conducts crash tests of its new airbag system to evaluate its safety. One hundred cars are run into a solid concrete barrier at a speed of 35 miles per hour, and the chest compression of a crash test dummy is measured each time. They hope that the average compression if the test were repeated over and over (which we could think of as the population) would be about 2 inches, corresponding to an injury that would be painful but not fatal. In the hundred tests, the average chest compression in the crash test dummies was 2.1 inches, with an SD of 0.2 inches.(a) State the null and alternative hypotheses in terms of the problem.(b) What kind of box model will we use for this problem? A 0-1 box, or a box with other values on the tickets?(c) State the null and alternative hypotheses in terms of the box model (d) Compute the z test statistic and the p-value, using the sample average as your statistic as you compute z (e) What do you conclude?
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A sample of 150 married women determined that 127 are happy in their marriage. A sample of 150 married men determined that 76% are happy in their marriage. If you plan to test if the percent of married women who are happy in their marriage is greater than the percent of married men who are happy in their marriage. What is the p-value? Write to 4 decimal places.
AJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how many hours he slept each night. On the 4th night after he started the diary, AJ slept 9.4 hours, which was the most sleep he got any night. Gradually, he got less sleep each successive night until, on the 18th night after he started the diary, AJ slept 6.2 hours, which was the least sleep he got any night. After keeping his diary for 6 months, he realized that the number of hours he got each night followed a sinusoidal curve. Let t be the number of nights since he started his diary, and s be how many hours he slept that night. It may be helpful to draw a crude sketch of the sleep time function and label the known t − and s − values on it. POSITIVE or NEGATIVE SIN or COS Maximum s − value = Minimum s − value = ______________ ______________ Middle s − value = ______________ = D Amplitude = ______________ = A ⇒ B = ______________ Given the crude sketch of the height function, the…
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Oliver and Tony work at a dentist office. They had a conversation one day about how much time it took to complete a routine cleaning for each patient. Tony wondered if the time since the last visit to the office was related to the length of a cleaning. Oliver went to the filing cabinet and came up with the following data: x = Months since last visit y = Length of cleaning (mins) 6 20 13 49 6 8 9 15 33 35 42 14 7 11 9 55 36 52 29 E SALETSTRANICZON RUSSAREN Co JINSIEMELLET

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