Calculate the average and standard deviations. Use Equation (6).
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Calculate the average and standard deviations. Use Equation (6).
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- 12 Approximate versus Exact Arearefer picture - integration volumePT. 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)
- 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…A large tank initially filled with 150 gal of fluid contains 10 lb of dissolved solute. Another solution containing 0.5 lb of solute per gallon is driven into the tank at 5 gpm where they are mixed well. The solution is then released at a rate of 4 gpm. Find the number of kilograms of the solute after 1/2 hour. Assume that the tank is very large that it is not affected by the rate of accumulation up to 1 hour.
- The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing at a rate of 4 meters per minute. When the length is 14 meters and the width is 23 meters, then how fast is the AREA changing?? (Enter answer as an integar)A lawn has an area of 200 square feet, and an infiltration capacity of 4 inches per hour. There are 12 inches in 1 foot. 6 inches of rain fall in one hour. I suggest making a sketch of the system to help visualize. 1. What is the volume of water, in feet cubed, that will run off the lawn from this event? 2. What is the volume of water, in feet cubed, that infiltrates from this event? Set up all calculations neatly; explain as you go. Be sure to use proper units and conversions. Circle final answers.how much bacteria is present after 20 minutes? show working out
- The Port of Charleston is considering an expansion of theircontainer terminal. The port has experienced the followingcontainer throughput during the past 12 years, expressed as TEUs (i.e., 20 feet equivalent units, a standard unit of mea-sure for containers). % %Year Applicants Offers Offers Acceptances Acceptances1 13,876 11,200 80.7 4112 36.72 14,993 11,622 77.8 4354 37.33 14,842 11,579 78.0 4755 41.14 16,285 13,207 81.1 5068 38.05 16,922 11,382 73.2 4532 39.86 16,109 11,937 74.1 4655 39.07 15,883 11,616 73.1 4659 40.18 18,407 11,539 62.7 4620 40.09 18,838 13,138 69.7 5054 38.510 17,756 11,952 67.3 4822 40.3 Year TEUs (1,000s)1 526.12 549.43 606.04 627.05 695.76 734.97 761.18 845.49 1,021.110 1,137.111 1,173.612 1,233.4 Develop a linear trend line forecast for these data andforecast the number of TEUs for the next year.b. How strong is the linear relationship for these data?A 131 L mixing tank initially contains 65 L of brine solution with a concentration of 7 g/L. Brine solution with a concentration of 9 g/L flows into the tank at a rate of 7 L/min. The solution inside the tank is kept well-stirred and is discharged at the rate of 3 L/min. Determine the amount of salt, in grams, inside the tank at the moment before it overflows.An endocrinologist studying genetic and environmental effects on insulin production of pancreatic tissue, raised five litters of experimental mice. At age 2 months he sacrificed the mice, dissected out the pancreatic tissue and treated the tissue specimens with a glucose solution. The amount of insulin released from these specimens was recorded in pg/ml. Complete a Turkey's post HOC test to determine which one is different.