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- A type of casting iron has Hall-Petch parameters: σ0 = 36.3 MPa and K = 6.5 MPa ∙ mm^−0.5. For a given sample, the grain size distribution is shown in the diagram below. Each bar represents the percentage of grains in particular size. First, estimate the average grain size based on concept of “weighted mean” (in case you do not know, search for this term). Then, apply Hall-Petch Equation to calculate the yield stress. (Note: 1 μm = 0.001 mm)What is the total float of activity B ?The Deepwater Horizon oil spill in the Gulf of Mexico on April 20, 2010 was "an environmental disaster of unprecedented proportions" and was a "devastating blow to the resource-dependent economy of the region" [1]. According to the Washington Post, it is estimated that 9857 9857 cubic meters of oil per day spilled into the Gulf of Mexico on August 2, 2010 Assume that an average of 9857 m^3/day of oil spilled into the Gulf of Mexico everyday and that it formed a hemispherical dome of radius r on the ocean floor. D) find the rate of change of the radius with respect to time when the volume of the oil spill is 50,000m^3. E) Since only the oil that is in contact with seawater can mix with seawater, it is important to know how much of the surface area of the oil spill is in contact with seawater. Find the rate of change of the hemisphere's surface area with respect to time when the volume of the oil spill is 50,000 m3. Include units in your answer. You should assume that only the top…
- The Deepwater Horizon oil spill in the Gulf of Mexico on April 20, 2010 was "an environmental disaster of unprecedented proportions" and was a "devastating blow to the resource-dependent economy of the region" [1]. According to the Washington Post, it is estimated that 9857 9857 cubic meters of oil per day spilled into the Gulf of Mexico on August 2, 2010 Assume that an average of 9857 m^3/day of oil spilled into the Gulf of Mexico everyday and that it formed a hemispherical dome of radius r on the ocean floor. A) find a formula for the volume of oil spilled in cubic meters, t days after the start of the oil spill. Include units in answer B) find the derivative of volume formula with respect to time. Include units in answer. C) when the volume of the oil spill is 50,000m^3, what is the radius of the hemisphere of oil? Include units in your answer. Give your answer accurate to 3 decimal places. D) find the rate of change of the radius with respect to time when the volume of…The "spring-like effect" in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow: Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871 Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476 Test the hypothesis that both brands of ball have equal mean overall distance. Use α = 0.05 and assume equal variances. Question: Reject H0 if t0 < ___ or if t0 > ___.refer picture - integration volume
- The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.The bottom of a cylindrical container has an area of 10 cm2. The container is filled to a height whose mean is 6.00 cm, and whose standard deviation is 0.300 cm. Let V denote the volume of fluid in the container. 1) Find μV . 2) Find σV .Accumulation of mercury (Hg) in fish is hypothesized to correlate with the fish size. Barbonymus schwanenfeldii is a species commonly found in a dam in Sarawak. Table 1 shows data of Hg concentration (mg/kg) present in three sizes of fish caught in the dam in triplicates.
- A factory produces furniture as the main product. One of the major components of the furniture product is a steel bar with the specification of the length at 1,250 mm with +/- 10% tolerance. Based on historical records, the average demand for steel bars is 1,000 units per month. The factory receives two quotation prices from two independent suppliers along with the quality control records from their production process of the steel bars as below: (refer to table image) Anticipating that a portion of the steel bars delivered will fall outside the specification limits, the factory is prepared to cut steel bars that are too long, while those that are too short will have to be discarded. Based on the above information, answer the following questions: a. Provide your assessment on the capabilities (based on their capabilities index) of the two suppliers as well as their estimated percentage of defective products against the factory’s specification of the steel bars. b. Which of the two…A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the resistance layer. The quality control inspector randomly selects five boards each half-hour, measures the thickness, and records the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow. Thickness (millimeters) Time 1 2 3 4 5 8:00 87.1 87.5 88.1 87.2 87.0 8:30 86.9 88.5 87.6 87.5 87.4 9:00 87.7 88.4 86.9 87.6 88.1 9:30 86.0 88.0 87.2 87.6 87.1 10:00 86.9 87.0 87.2 87.0 86.9 10:30 88.0 86.2 87.5 87.2 87.9 Click here for the Excel Data Filea. Determine the control limits for the mean and the range. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) c-1. Are any means out of control?multiple choice 1…A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the resistance layer. The quality control inspector randomly selects five boards each half-hour, measures the thickness, and records the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow. Thickness (millimeters) Time 1 2 3 4 5 8:00 87.2 87.3 87.9 87.0 87.0 8:30 86.9 88.5 87.6 87.5 87.4 9:00 87.8 88.6 86.8 87.7 88.2 9:30 86.0 88.0 87.2 87.6 87.1 10:00 86.8 87.0 86.9 87.3 87.3 10:30 88.0 86.2 87.4 87.1 87.9 a. Determine the control limits for the mean and the range. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Mean of the sample means = LCL = UCL = Mean of the sample ranges = LCL = UCL =
