You are given two identical balls made of a tough alloy. The hardness test fails if a balldropped from a floor of a 120-storey building is dented upon impact. A ball can bereused in fresh drops only if it has not been dented in a previous drop. Using only thesetwo identical balls, what is the smallest number of ball drops that will determine the high-est floor from which the ball can be dropped without being damaged?

To find the highest floor from which a ball can be dropped without being damaged, we can use a…

Answered: You are given two identical balls made…

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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A soda company sells one of its soft drinks in 12 ounce cans. In order to ensure that every can has at least 12 ounces in it, the machines in the factory are set to fill each can with an average of 12.1 ounces of soda. Every week, a quality-control technician tests 10 cans to make sure that the average amount of soda in the cans is still 12.1 ounces. If the conclusion of the test is that the number of ounces of soda in the cans is different from 12.1, the technician will declare that the process is out of control, and the machine will be stopped and calibrated. From previous tests, the technician found that the standard deviation of the number of ounces of soda in the cans is approximately 0.01. The number of ounces of soda in the 10 cans that were tested this week is given below. Assume that the standard deviation from the technician's previous tests is the population standard deviation. Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether filling process is out of control and…
the probablity that a radio will last more than 4 years is 0.91. from a batch of 300 such radios, what is the probablity that more than 270 and less than 280 radios will last more than 4 years?
Jerry is considering opening a new ice cream store at a certain location on State Street in Madison. Jerry conducts some analysis and determines that a given location is acceptable only if the number of pedestrians passing the potential location averages more than 100 per hour. To check if this location is acceptable, Jerry records the number of pedestrians observed for each of 40 hours. Jerry finds that the average number of pedestrians that pass the potential location during each of the 40 hours he was observing, is 105.7 per hour. Jerry assumes that he knows the population standard deviation to be 16. Can Jerry conclude at the 1% significance level that the potential location for the ice cream store is acceptable? a. What is the correct set of hypotheses? Answer: Ho: u = 100 and H1: u> 100 v b. Determine the p-value Answer: 0.0122 c. Interpret the results Answer: There is not enough evidence d. Jerry is concerned with committing a Type II error. Determine the probability of Type II…
At the auction of the music collection, there is 1 masterpiece sheet music whose composer is unknown. A professor from the College of Music, Universität der Künste Berlin was asked to analyze who the score composer is. You are asked to help analyze statistically. The professor saw there were 2 names who may have been the composer, namely: Johann Strauss II and Tchaikovsky. The the professor also provides general data, namely the average number of tones per bar of each composer. Give the results of your analysis, who is the composer of the sheet music. Calculations are made using a spreadsheet! Note: Take the last 3 digits of your ID (2602296545 ). Use the step below: 1. For example, for example ID 2602296545 → 545 is taken. 2. Replace number 5 with number 1; example: ID 545 → 145 3. Last 3 digits of your new ID == abc; example 145: a = 1, bc = 45.
PLEASE ANSWER THIS USING YOUR OWN ANSWERS. DO NOT COPY ON INTERNET. IF YOU SEE THIS QUESTION AGAIN, DO NOT ANSWER. IF YOU ANSWER THIS IN TYPEWRITTEN, COMPLETE, CORRECT, AND IN ORIGINAL WAY, I WILL UPVOTE. THANK YOU!
A team of researchers working on the development of vaccines conducted a study on two vaccines. Thirty individuals participated in the study and were randomly assigned to two groups and one group received vaccine 1 and the other group vaccine 2. The researchers then measured the amount of antibody in the individuals' blood after ingestion, entered R and calculated some fish sizes that can be seen here below. x̄1 = 494,54, s1 =52,39, x̄2 = 467,93, s2 = 45,20, d = 26,61, sd = 68,69. Blood levels of antibodies can be expected to follow normal distribution. Use α = 0,05. c) What conclusion do you draw from the hypothesis test in point b about the possible difference in the mean amount of antibody after oral administration of the vaccines? d) The researchers also created a 95% confidence interval for the difference between the averages. Will the confidence interval contain the value 0? Justify your answer without calculating the confidence interval.e) Let us now assume that there is in fact…
The 2017 Chapman University Survey of American Fears asked a random sample of 1207 American adults if they believed that aliens had come to Earth in modern times, and 26% responded yes. Complete parts (a) through (d) below.
Two varieties of corn are grown in 4 different locations. Each location provides a value in pounds for each variety.The table below lists the results. Find the standard error for the difference in the production of the two corn varieties to two decimal places. Variety 1 Variety 2 difference location 1 32.1 34.5 -2.4 location 2 30.6 32.6 -2.0 location 3 33.7 34.6 -0.9 location 4 29.7 31.6 -1.3 mean value 31.53 33.18 -1.65 standard deviation 1.76 1.72 0.68 1.23 0.75 0.34 0.98

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