a) What is the coefficient of variation (CV)? Why do you study such variations? Explain using a real-life example. (b) Among the different measures of dispersion which one do you think is better and why? The following table gives the distribution of gas bills (GB’s) of some households (hhs) in a city- GB’s ($.’0) No. of hhs 375-450 41 450-525 95 525-600 31 600-675 61

a) What is the coefficient of variation (CV)? Why do you study such variations? Explain using a real-life example. (b) Among the different measures of dispersion which one do you think is better and why? The following table gives the distribution of gas bills (GB’s) of some households (hhs) in a city- GB’s ($.’0) No. of hhs 375-450 41 450-525 95 525-600 31 600-675 61

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 73P: (a) How many significant figures are in the numbers 99 and 100.? (b) If the uncertainty in each...

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(a) A person's blood pressure is measured to be 1202 mm Hg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?
(a) How many significant figures are in the numbers 99 and 100.? (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (c) Which is a more meaningful way to express the accuracy of these two numbers: significant figures or percent uncertainties?
The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)
The SARS-CoV-2 (COVID-19) virus can be described as approximately spherical having a diameter of about 120 nm. If the density is about the same as water, 1 000 kg/m*, determine the mass of one COVID-19 virus. Express your answer in picograms. Clearly show your calculations and unit conversions using the chain method.
dV An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. To estimate the rate (in cubic feet per minute) at which the oil is leaking from the tanker, it was found that the radius of the slick was increasing at 0.31 foot dt dR dV per minute (- = 0.31) when the radius R was 400 feet. Find using T 3.14. dt dt Tanker A=TR? V=0.1A R dV ft3 /min dt (Type an integer or a decimal. Round to the nearest whole number as needed.)
A 11-inch candle is lit and burns at a constant rate of 1.3 inches per hour. Let t represent the number of hours since the candle was lit, and suppose R is a function such that R(t) represents the remaining length of the candle (in inches) t hours after it was lit. a. Write a function formula for R in terms of t. R(t)=11-1.3t Preview b. What is the domain of R relative to this context? Enter your answer as an interval. [0,8.46] Preview c. What is the range of R relative to this context? Enter your answer as an interval. Preview no answer given d. What is the domain of R¯ relative to this context? Enter your answer as an interval. |其 Preview e. What is the range of R1 relative to this context? Enter your answer as an interval. Preview f. Solve R(t) = 6.2 for t. t = 3.69 Preview g. What does your solution in part (f) represent in this context? Select all that apply. How many hours since the candle was lit when it is 6.2 inches long. * The length of the candle (in inches) 6.2 hours after…
Ctrl (a) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 2 to each of the following. (1) 2 to 3 A Tab (ii) 2 to 2.5 (iii) 2 to 2.1 Need Help? (b) Find the instantaneous rate of change when r = 2. A'(2) = 11 Submit Answer 1 Esc Shift Caps Lock X 1 X Type here to search Q X Read It A X F2 2 Watch It F3 # 3 O F4 Alt View Previous Question Question 4 of 6 View Next Question S D $ 4 WE R E Z X C F5 D F % 5 F6 T ( 6 G 0 & 7 H FB U * 8 FO F10 9 70°F Clear A V B N M J1 K 2 L 0 Alt Activa Go to Se P F12
Determine the absolute uncertainty for the calculated value in the following scenarios. Express as (computed result) ± (absolute uncertainty) (units). You measure the volume of a stainless steel sphere by placing it into a100 mL graduated cylinder with an uncertainty of 1 mL, with 20 mL ofwater initially. After the sphere settles, the graduated cylinder now reads22 mL. What is the volume with uncertainty? Please use the formula I posted ! Thank you!
S Can 6 PAR к Торс K Unit K In x K Moti = Cop K Unit S Spee S Topo S Math Micr eb.kamihq.com/web/viewer.html?source-filepicker&document_identifier=137VZR5BZOVSAIMOA55WU555_CvJ9NacO + 100 P e Interpreting Graphs Answer the questions following the graphs on each side Dietance va. Time 2 7 10 11 12 13 14 Time in soconds 1. From 1 second to 2 seconds, how fast is the object traveling. (Take the difference in distance and divide it by the time in between the 2 distances) 2. Is the object going as fast between 9 and 12 seconds as it is between 1 and 4 seconds? How can you tell? 3. What is the motion of the object between 4 and 6 seconds? acer
Below is the solution. For the (b)question, Would you like to explain why the slope at the wall is sinh alpha0x = 1/tantheta? Thanks.
Problems A12 1-1. (a) List the SI units of length, mass, time, electric cur- rent, temperature, and amount of substance. Write the abbre- viation for each. Jund juod (b) Write the units and symbols for frequency, force, pres- and power. sure, energy, 1-2. Write the name and number represented by each abbre- viation. For example, for kW you should write kW = kilowatt = 10³ watts. (a) mW (b) pm (c) ΚΩ (d) μC (e) TJ (f) ns (g) fg (h) dpa 163. Express the following quantities with abbreviations for units and prefixes from Tables 1-1 through 1-3: (a) 10-¹3 joules0 + (1)0,HE (b) 4.317 28 x 10-8 coulombs (d) 10-10 meters (e) 2.1 x 10¹3 watts (f) 48.3 x 10-20 moles (c) 2.997 9 x 10¹4 hertz bns M2.01 1-4. Table 1-4 states that 1 horsepower = 745.700 watts. Consider a 100.0-horsepower engine. Express its power output in (a) watts; (b) joules per second; (c) calories per second; (d) calories per hour. 1-5 (a) Refer to Table 1-4 and calculate how many meters are in 1 inch. How many inches are in 1…
A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.