Prove the following: If f: A → B is a bijection, then f¯¹: B → A is also a bijection.
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- Please assist and answer on questions D, E, F, G, H, and I on this problem. Thank you.The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 6 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. ..... (a) Determine the null and alternative hypotheses that the magazine will test. Но: 6.Based on the definition of exploratory data analysis, which of the following is not a part of EDA? a) Summarizing data b) Anomaly Detection c) Statistical Analysis d) Hyperparameter Tuning
- Harold is going to California over the Easter weekend and takes part in the Rock Festival of the people. He is an optimistic man and intends to sleep in a tent. He is worried about leaks in the tent, but to his great satisfaction, he came across an advertisement for material that the manufacturers claim reduces leakage in tents by spraying it on the outer layer of the tent. He was not convinced but found a study where the material was examined. In the study, leakage in five tents was measured. First, it was measured how much it leaked without the material too much and then how much it leaked after the material was sprayed on the outer layer in each tent. High numbers mean high leakage and low numbers low leakage. It can be assumed that measured leaks follow a normal distribution. The results can be seen below: Harold is also a big fan of R and he performed the following calculations in R: > x<-c(8.6,9.2,7.8,7.2,8.9) > y<-c(6.2,7.2,7.6,8.2,6.1) > mean(x)[1] 8.34 >…II. Illustration: Illustrate the following scenario given. Use a separate sheet of paper. 1. Let say you are in your home to do one certain chore for a specific time frame (e.g. washing dishes, cooking rice, wash clothes, watering a garden, etc.). Draw a technical drawing on the floor layout of your kitchen sink performing the method and create a hand motion analysis with the following criteria: a. All the hand motions identified of such chosen method of chore. b. Corresponding therblig (name & symbol) of each identified motion. c. Description of each hand motion identified. 2. On the current events of the Covid vaccination (Resbakuna) process in 1t dose, 2nd dose, and/or booster, draw the current flow process chart you experienced, identify at least two (2) descriptions for each IE waste on Work Study from the facility where you took your shots, and what are your suggestion for methods improvement per IE waste identified. Suggestions for Improved Methods IE Waste DescriptionA company manufacturing CDs is working on a new technology. A random sample of 646 Internet users were asked: "As you may know, some CDs are being manufactured so that you can only make one copy of the CD after you purchase it. Would you buy a CD with this technology, or would you refuse to buy it even if it was one you would normally buy?" Of these users, 59% responded that they would buy the CD. Complete parts a and b below. a) Create a 99% confidence interval for this percentage. ( 54.008 %, 63.993 %) (Round to three decimal places as needed. Use ascending order.) b) If the company wants to cut the margin of error by two thirds, how many users must they survey? The company must survey a total of (Type a whole number.) users
- It is given that AC = AD and ¿CAB = ¿DAB A C B Show that ¿CBA = ¿DBA? Explain your reasoning in a complete sentence.Need help with these problem: D) Suppose there are about 163,000,000 Americans who have not been fully vaccinated for COVID. Data showthat the rate of death from COVID for people who have not been vaccinated is about 1 death for every 509 unvaccinated people. If this is correct, how many of these unvaccinated Americans would be expected to die from COVID? E) Use your answers from part c) and d) to answer the following question: What percentage of people who die from COVID are unvaccinated?In a recent year, a research organization found that 487 of 806 surveyed male Internet users use social networking. By contrast 619 of 919 female Internet users use social networking. Let any difference refer to subtracting male values from female values. Complete parts a through V below. Assume that any necessary assumptions and conditions are satisfied. Find the proportions of male and female Internet users who said they use social networking. A. What is the difference in proportions? B. What is the standard error of the difference? C. Find a 95% confidence interval for the difference between these proportions.