is question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the pped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find two numbers whose difference is 98 and whose product is a minimum. calcPad Operations Step 1 Functions If two numbers have a difference of 98 and we let x represent the smaller of these two numbers, then the larger of these two numbers is given by the following. X Symbols Relations Sets Vectors Trig Submit Skip (you cannot come back) Greek O Help leed Help? Read It ubmit Answer
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- 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…PT. X is an industry engaged in concrete steel with various diameter sizes. The product that is mostly produced is concrete iron with a diameter of 12 mm because it suits the needs of consumers and the current pandemic conditions. During the period from January to December 2019, PT. X is capable of producing as many as 6800 tonnes of units. From the results produced, there is a product defect of 70.4 with the type of product damage, namely overfill (wing), overlap (excessive shape), underfill (kempong) and scratch (beret). In that period, defects were found above the tolerance limit of 2%, namely at week 5 and week 12 of 2.42% and 2.21%. During the production process PT.X has a 2% probability of producing defective products. If you check is 065, then determine:a. P(X=0)b. P(X=1)c. P(X=2)d. P(X≤2)e. P(X≥3)
- 6 A valve manufacturer produces a butterfly valve composed of two semicircular plates on acommon spindle that is used to permit flow in one direction only (seen here:http://en.wikipedia.org/wiki/Butterfly_valve). The semicircular plates are supplied by a vendorwith specifications that the plates be 2.37 millimeters thick and have a tensile strength of fivepounds per millimeter. A random sample of 20 such plates is taken. Electronic calipers are usedto measure the thickness of each plate. A universal testing machine was used to test the tensilestrength. The sample data are found in homework 5.xlsx.a. Find point estimates of the thickness and tensile strength data. Compare with thespecifications.b. Construct a 95% confidence interval for mean thickness. Draw conclusions regarding thespecification relative to the confidence interval.c. Construct a 95% confidence interval for mean tensile strength. Draw conclusionsregarding the specification relative to the confidence interval.d. Construct…Electrical discharge machining (WEDM) is a process used to manufacture conductive components from hard metals. It uses a continuously moving wire that serves as an electrode. The wire electrode coating allows the core of the wire electrode to cool and provides improved cutting performance. The article “High-Performance Wire Electrodes for Wire Electrical-Discharge Machining: A Review” (J. of Engr. Manuf., 2012: 1757-1773) mentions the following observations on the total thickness of the electrode coverage (in µm) of eight electrodes used for WEDM:(need the process can be by hand ,Excel or R.) 21 16 29 35 42 24 24 25 a. Calculate the 99% confidence interval for the mean of the electrode coverage thickness distribution. Assume Normality. b. If previous years the average thickness of the electrode cover was 24 µm. Can it be said, based on the evidence from the sample, that it has already changed significantly? Explain…Veneer is the material of plywood that has higher resistance (psi) depending on wax coat (W1, W2, W3) and temperature (T1, T2, T3). In an experiment, a large thin wood panel sheet will be coated with a wax coat. This will then be divided into three portions where each will be subjected to a drying temperature. After processing, several sheets will then be pasted together, and the resistance will be measured. Two manufacturing companies will participate in the experiment with two runs for each company.
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- calculate chi square test static, chi square critical value and p value.Gram Schmidt process2. A valve manufacturer produces a butterfly valve composed of twosemicircular plates on a common spindle that is used to permit flow inone direction only. The semicircular plates are supplied by a vendor withspecifications that the plates be 2.37 millimeters thick and have a tensilestrength of five pounds per millimeter. A random sample of 20 suchplates is taken. Electronic calipers are used to measure the thickness ofeach plate. A universal testing machine was used to test the tensilestrength. The sample data are found Below. a. Determine, with 95% confidence, if mean tensile strength is less than five pounds permillimeter. Use the critical value approach.b. Are more than half of plates thicker than 2.37? Use the p-value approach with 95%confidence. Thickness Strength 2.4066 4.9175 2.1328 4.8067 2.5937 5.1246 2.1933 4.7555 2.4579 4.7233 2.0665 4.3934 2.1994 4.4609 2.4575 4.7377 2.6724 4.3407 2.2738 4.9487 2.5392 4.4265 2.7956 4.3583 2.1228 4.5608…