PROBLEM 2: In general chemistry laboratory class, the volume of a sphere is determined experimentally. Using a vernier caliper, the diameter of the sphere is measured to be 0.1 m with a possible error of 1 mm. Compute for the propagated error in the volume of the sphere.
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- In Problems 39 and 40, use the information given in the diagram to find A to the nearest degree.2.21 The manufacturing company in Problem 2.20 also produces electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators, destructive testing in high-powered labs is carried out to determine how much force is required to break the insulators. Force is mea- sured by observing how many pounds must be applied to the insu- lator before it breaks. The force measurements, collected from a sample of 30 insulators and stored in Force , are:1,870 1,728 1,656 1,610 1,634 1,784 1,592 1,662 1,866 1,764 1,734 1,662 1,550 1,756 1,762 1,866 1,820 1,744 1,810 1,752 1,680 1,810 1,652 1,7361,522 1,696 1,734 1,774 1,788 1,688a. Constructafrequencydistributionandapercentagedistribution. b. Construct a cumulative percentage distribution. c. What can you conclude about the strength of the insulators ifthe company requires a force measurement of at least 1,500 pounds before the insulator breaks?Problem 4 A circular swimming pool has a diameter of 18 meters, the sides are 4 meters high, and the depth of the water is 2.5 meters. The acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 kg/m^3. How much work is required to:(a) pump all of the water over the side? _________________ (b) pump all of the water out of an outlet 2 m over the side?______________ Note: The answers are neither 556875pi J and 961875pi J nor 1748588 J and 222547 J.
- Problem 15 The "spring-flex" exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 34 cm. If a 150 Newton force is required to keep the spring stretched to a length of 52 cm, how much work is required to stretch it from 46 cm to 71 cm?Question 4 A simple random sample of 900 students from a college with student population 10,000 is taken to estimate the percentage of commuters. The result is 378 students commute. Thus, we can infer that about [A]% of the student population commute. This is inferential statistics where we infer some parameter of the population from the statistics of the population. Using the bootstrap method, the SD of the box is estimated to be 0.5 by using the short-cut formula. The SE for percentage is 1.7%. Double check this number to make sure you know how to calculateQuestion d using gauss seidel