Assuming the rain falling vertically, express the catch of a gauge inclined 15° from the vertical as a percentage of the catch of a gauge installed vertically.

(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?

State how many significant figures are proper in the results of the following calculations: (a) (106.7)(98.2)/(46.210)(1.01) (b) (18.7)2 (c) (1.601019)(3712)

Check Your Understanding Figure 1.4 says the mass of the atmosphere is 1019kg . Assuming the density of the atmosphere is 1kg/m3 , estimate the height of Earth’s atmosphere. Do you think your answer is an underestimate or an overestimate? Explain why. How many piano tuners are there in New York City? How many leaves are on that tree? If you are studying photosynthesis or thinking of writing a smartphone app tot piano tuners, then the answers to these questions might be of great interest to you. Otherwise, you probably couldn’t care less what the answers are. However, these are exactly the soils of estimation problems that people in various tech industries have been asking potential employees to evaluate their quantitative reasoning skills. If building physical intuition and evaluating quantitative claims do not seem like sufficient reasons tot you to practice estimation problems, how about the fact that being good at them just might land you a high-paying job? For practice estimating relative lengths, areas, and volumes, check out this PhET (https://openstaxcollege.org/l/21lengthgame) simulation, titled “Estimation.”

(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 61 675-750 19 (i) Calculate the ideal measures of dispersion.(ii) Make comments from your findings.

Physics An average family of four uses roughly 1200 L (about 300 gallons) of water per day ( 1 L = 1000 cm³). How much depth would a lake lose per year if it uniformly covered an area of 20 km² and supplied a local town with a population of 50000 people? Consider only population uses, and neglect evaporation and so on. Express your answer using one significant figure. d= 195| ΑΣΦ ? cm/y

The atmospheric pressure P decreases exponentially with elevation h as follows, P(h) = P,e-gh/A ,where Po ([Pa]) is the atmospheric pressure at sea level, g ([m/s²1) is the acceleration due to gravity, and A is some dimensional constant. Determine the SI unit of the constant A and argue your key assumption. %3D B.

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2.03 ) Diameter of a coin is measured ast.cm and its height (thickness) is measured as 0.024 cm and weight 5.3 grams. Calculate density of the coin and compare it with the density of copper 8.96 gr/cm3. Could your coin be pure copper? What is the precision in length (delta h) and precision in mass (delta m) based on the measurements given above.

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