In Exercises 1-18, write
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- A box contains 14 large marbles and 10 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 4 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express as a fraction or a decimal number rounded to four decimal places.arrow_forwardCan I get help with this step please? At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.33. After the student shoots 28 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.25. Does this evidence support the student's claim that the gun's sight is off? Use a 0.025 level of significance. Assume that the…arrow_forwardThe National Academy of Science reported that 38% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 38%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 279 recent articles published by reputable mathematics research journals and finds that 123 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 38 % ? Use a 0.02 level of significance. Compute the value of the test statistic. Round to two decimal places.arrow_forward
- Was wanting to check if my calculations were correct Suppose 52% of the population has a college degree. If a random sample of size 808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54%? Round to four decimal places. after following the formula I got 0.8724arrow_forwardA marketing research company desires to know the mean consumption of milk per week among males over age 32. They believe that the milk consumption has a mean of 4 liters, and want to construct a 98% confidence interval with a maximum error of 0.07 liters. Assuming a variance of 0.64 liters, what is the minimum number of males over age 32 they must include in their sample? Round up to the next integer.arrow_forwardWrite down the nth derivative of the function 1/z, and hence find the Taylor series of this function about the point 2 = 2. State the radius of convergence of the power series.arrow_forward
- Suppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 118. A university plans to recruit students whose scores are in the top 4 % . What is the minimum score required for recruitment? Round to the nearest whole number, if necessaryarrow_forwardNeed help with my homework thank you random sample of 6 fields of durum wheat has a mean yield of 45.5 bushels per acre and standard deviation of 7.43 bushels per acre. Determine the 80 % confidence interval for the true mean yield. Assume the population is approximately normal. Step 1: Find the critical value that should be used in constructing the confidence interval. Round to three decimal places. Step 2 of 2: Construct the 80% confidence interval. Round to one decimal place. I got 1.476 as my critical value and 41.0 and 49.9 as my confidence intervalarrow_forwardExample(1): (Adiabatic humidification and cooling of air). Air has to be humidified and cooled adiabatically in a honzontal spray chamber with recirculated water. The active part of the chamber is Im #2m #15 m long. Under the operating conditions, the coefficient of heat transfer is expected to be 1300 kcal/(hr)(m2)(°C). 200 m3/min of air at 60 °C and 1 atm pressure with a humidity of 0.018 kg water/kg dry air is to be blown through the spray chamber. Calculate the following (a) the temperature and hunudity of the exit air (b) make-up water to be supplied, windage and blow down are neglected (c) the expected gas-phase mass transfer coefficient, kya (d) the temperature and humidity of the exit air if an identical spray chamber is added in series with the existing one Oarrow_forward
- The Laplace transform problem is on page 129. Compute the Laplace transform of the given function and find its inverse. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg1t2q15dbpVLCS/view? usp=sharing] Present all calculations in detail and verify the result.arrow_forwardCan someone check my work? If you draw a card with a value of four or less from a standard deck of cards, I will pay you $14. If not, you pay me $8. (Aces are considered the highest card in the deck.) Step 1 of 2: Find the expected value of the proposition. Round to two decimal places. Losses must be expressed as negative values. PT 2: If you played this game 718 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values. for part 1 I got -2.92 pt 2 -2097.56arrow_forwardThe statistics problem is on page 95. Compute the mean (average) of the given dataset. Link: [https://drive.google.com/file/d/1RQ2OZK-LSxpRyejKEMg 1t2q15dbpVLCS/view? usp=sharing] Show your calculations clearly.arrow_forward
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