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A: Volume of sphere is V = 43πr3 In given question r = 3
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A: radius= 71 meter Volume of sphere= 43πr3
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A: If the radius is rThen, the volume of the sphere is given by:Volume of Sphere, V = (4/3)πr3
Q: 9) 12 m
A: The answer is found in step-2.
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Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.The collection of the ages of all the U.S. first ladies when they married is a A. population B. Parameter C. statistics D. SampleQuestion content area Part 1 Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are Bottle Sample 1 2 3 4 1 0.576 0.593 0.618 0.580 2 0.580 0.583 0.602 0.586 3 0.571 0.599 0.612 0.578 4 0.570 0.601 0.603 0.594 5 0.596 0.618 0.589 0.571 6 0.610 0.609 0.578 0.605 LOADING... Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Part 2 Suppose that the specification for the bottle neck diameter is 0.600±0.050 in. and the population standard deviation is 0.014 in. a. What is the process capability index? The Cpk is enter your response here. (Enter…
- Subject: Engineering Data Analysis For ungroup data: Kurtosis Skewness CVPricing Refrigerators. Best Buy, a nationwide retailer of electronics, computers, and appliances, sells several brands of refrigerators. A random sample of models of full size refrigerators prices sold by Best Buy and the corresponding cubic feet (cu.ft.) and list price follow (Best Buy website). Model Thru-the-Door Ice and Water? Cubic Feet List Price Frigidaire Gallery Custom-Flex Top-Freezer Refrigerator No 18.3 $899.99 GE French Door Refrigerator No 24.8 $1,599.99 GE Frost-Free Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.4 $1,599.99 Whirlpool Top-Freezer Refrigerator No 19.3 $749.99 GE Frost-Free Top-Freezer No 17.5 $599.99 Whirlpool French Door Refrigerator with Thru-the-Door Ice and Water Yes 19.6 $1,619.99 Samsung French Door Refrigerator No 25.0 $999.99 Samsung Side-by-Side Refrigerator No 24.5 $1,299.99 Whirlpool Side-by-Side Refrigerator with Thru-the-Door Ice and Water Yes 25.4 $1,299.99 Frigidaire Gallery Frost-Free…The more corn a farmer plants per acre, the greater is the yield the farmer can expect, but only up to a point. Too many plants per acre can cause overcrowding and decrease yields. The data give crop yields per acre for various densities of corn plantings, as found by researchers at a university test farm. Density(plants/acre) 15,000 20,000 25,000 30,000 35,000 40,000 45,000 50,000 Crop yield(bushels/acre) 42 97 117 139 141 121 92 66 (a) Find the quadratic polynomial that best fits the data. (Let y be the crop yield in bushels/acre and x the density in thousands of plants/acre. Round all numerical values to three decimal places.) y = (b) Draw a graph of the polynomial from part (a) together with a scatter plot of the data. (c) Use your result from part (b) to estimate the yield for 39,000 plants per acre. (Round your answer to the nearest integer.) bushels/acre
- A dealer in recycled paper places empty trailers at various sites. The trailers are gradually filled by individuals who bring in old newspapers and magazines and are picked up on several schedules. One such schedule involves pickup every second week. This schedule is desirable if the average amount of recycled paper is more than 1,600 cubic feet per 2-week period. The dealer’s records for 18 2-week periods show the following volumes (in cubic feet) at a particular site: 1,660 1,820 1,590 1,440 1,730 1,680 1,750 1,720 1,900 1,570 1,700 1,900 1,800 1,770 2,010 1,580 1,620 1,690 ȳ = 1,718.3 and s = 137 .8 Assuming the 18 2-week periods are fairly typical of the volumes throughout the year, is there significant evidence that the average volume m is greater than 1,600 cubic feet? Place a 95% confidence interval on m. Compute the p-value for the test statistic. Is there strong evidence that m is greater than 1,600?The Coruro’s Burrow. The subterranean coruro (Spalacopus cyanus) is a social rodent that lives in large colonies in underground burrows that can reach lengths of up to 600 meters. Zoologists S. Begall and M. Gallardo studied the characteristics of the burrow systems of the subterranean coruro in central Chile and published their findings in the paper “Spalacopus cyanus (Rodentia: Octodontidae): An Extremist in Tunnel Constructing and Food Storing among Subterranean Mammals” (Journal of Zoology, Vol. 251, pp. 53–60). A sample of 51 burrows had the depths, in centimeters (cm), presented on the WeissStats site. Use the technology of your choice to do the following. a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data. b. Based on your results from part (a), can you reasonably apply the t-interval procedure to the data? Explain your reasoning. c. Find and interpret a 90% confidence interval for the mean depth of all subterranean coruro burrows.Athlete Knee Valgus Max During OH Squat Glute Med MVIC During SL Hop Stop Hop Distance (cm) Strength Deadlift Speed (Post-season) Speed Pre-season BW (kg) L R L R L R Squat (lbs) Postseason Preseason Trial 1 Trial 2 Trial 3 Best time Athlete #1 G 83 6.2 3.5 41% 55% 189 191 260 280 290 1.01 0.99 0.98 0.98 Athlete #2 G 89 6.4 6 39% 44% 186 199 280 305 315 0.99 0.99 0.98 0.97 Athlete #3 G 82.5 6.4 5.5 44% 47% 179 180 275 260 290 1.14 1.12 1.16 1.13 Athlete #4 C 130 5.7 2.2 48% 81% 195 196 350 325 345 1.03 1.09 1.11 1.08 Athlete #5 F 100 6.3 4.7 42% 70% 191 184 300 240 250 1.1 1 1.05 1.02 Athlete #6 F 100 5.8 3.5 44% 74% 194 197 300 315 320 0.96 0.95 0.94 0.92 Athlete #7 G 82.5 6.3 5.5 38% 48% 210 206 310 350 365 0.99 1 1.03 1.02 Athlete #8 F 94.5 6.2 5.1 38% 50% 182 190 295 300 360 1.1 1.12 1.05 1.04 Athlete #9 F 90 5.4 4.8 47% 63% 185 185 235 300 350 1.08 1.07 1.05 1.05 Athlete #10 F 92 7.5 6.1 29% 39% 205 203 345 335 365 1.07 1.09 1.11 1.08 Athlete #11…
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