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- If we have stabdard deviations for x and y data and we have mean values for x and y, how can we evaluate the standard deviation of (1-x/y).m ? (m is a constant value).Question 6 5 p A standardized exam is known to be normally distributed with a mean score of 82 and a standard deviation of 6.58 in the examination. (Hint: so this means you can convert individual exam scores to z-scores and calculate percentile rank). One student named Amy has an exam score of 78. For Amy's score, compute the corresponding z score. Make sure to round the z-score to the nearest hundredth place (Hint if the z-score is 0.3615, then you round it to 0.36).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!
- Find the average, variance and the standard deviation for the following: 1.23, 1.24, 1.18, 1.19, 1.26, 1.21, 1.22, 1.25, 1.20, 1.27, 1.28A 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…A*B!/3 and ' Find the relative error in Z, if Z = CD3/2 the percentage error in the measurements of A, B, C and D are 4%, 2%, 3% and 1%, respectively.
- What is the volume and its approximate uncertainty of a sphere of radius 1.96 +- 0.0m?What is “Random and Systematic Error”? Give an example for each one. What is “Standard deviation” and its formula? What data percent of XAverage ± σ, or XAverage ± 2σ, or XAverage ± 3σ might be the most reliable one?2.) A single reading taken with a meter stick for the length of a cylinder is 5.5 cm. What is the prsable percent error in the reading? 3.) The following readings were taken with a meter stick for the length of a cylinder: 5.5 cm, 5.3 cm, 5.4 cm, 5.5 cm and 5.6 cm. Calculate the standard deviation of the mean, the stand error and the probable percent error. 4.) How many significant figures should be given in reporting the length of the cylinder in question 3? 5.) If the radius of the cylinder in question 2 is 2.4 ± 0.2 cm and its mass is 32.6 ± 0.5 gm, what will be the probable percent error in the density of the cylinder? What will be the probable error in density? How many significant figures should be given in reporting the density? Conclusions?? 02 6) (figure3) 6a)Befer to Figure 3. Given a track length of 90 cm and a height difference of 18 cm, what is sin 6 02 01 Fig. 2 Z)(figure 2) plane (see Figure 2). Attach the diagram in question#8 below. What would be the acceleration given…
- So we take a pile of paper, we count the number of sheets, and obtain 226. Then, we measure how tall the pile is with a ruler: 24.0 mm. As discussed in section 1, we could have a long argument about how much exactly should the uncertainty of this measurement be. Let’s settle to ± 0.5 mmAn equation predicts the relation between x and y as T2 = k. L The measurement between T and L are given as 3 2.6 5 7.2 8 18.0 Find the slope k of the best fitted line of a plot between T2 and L from the following data. All numbers have no units. Answer to two decimal places. Note that the fitted line should pass through the origin,.If the number of significant figures is 6, what is the value of the pre-specified Error(?s) Select one: O a 0.000005% O b. 0.0005% O c. 0.005% ০ d 0.00005%