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- The characteristics of four shops for 5000 trips per day are given as: Floor Space (in thousands of m2) Distance Shop travelled (km) 1 21 2 10 14 3 9. 28 4 15 63 Determine the number of trips to each shop if the coefficient for distance is -0.284 and for space is 0.172.If cos 22.5° = VA+ vB, then, by using a half-angle formula, findWhat does ∆2xk equal?
- How wellmaterials conduct heat matters when designing houses, forexample. Conductivity is measured in terms of watts of heatpower transmitted per square meter of surface per degree Celsius of temperature difference on the two sides of the material.The National Institute of Standards and Technology (NIST)provides data on properties of materials. Here are 9 NISTmeasurements of the heat conductivity of a particular type offibrous-glass board: 0.0339 0.0337 0.0334 0.0334 0.03330.0333 0.0333 0.0332 0.0330 (a) We can consider this an SRS of all specimens of fibrousglass board of this type. Make a stemplot. Is there any sign ofmajor deviation from Normality? (b) Give a 95% confidence interval for the mean conductivity. (c) Is there significant evidence at the 5% level that themean conductivity of this type of fibrous-glass board is not0.0330?4. Two persons travel by car to separate cities in the same amount of time. The first person travels 310 kms at an average speed that is three kms per hour faster than the second person. The second person travels 215 kms. What is the average speed of the slower car?10. A student is given a cube of metal that is known to have a mass of 125.0 grams. She measures the mass of the metal three different times with the following results: 125.1g, 124.8g, 125.3g. a) Calculate the range, error and percent error for her three results. b) Discuss her data with respect to the accuracy and precision.
- 4.- The department of the environment carried out a study in one of the towns, on the amount of daily rain and the amount of pollution eliminated from the air due to the effects of rain, obtaining the following data: Cantidad de partículas eliminadas, y (ug/m3) Cantidad de lluvia diaria, x (0.01 cm) 4.3 126 4.5 121 5.9 116 5.6 118 6.1 114 5.2 118 3.8 132 2.1 141 7.5 108 a) Calculate the equation of the regression line to predict the particulates removed from the daily precipitation amount. b) Estimate the amount of particles removed if the daily precipitation (amount of rain) is 4.1 units. c) Evaluate the error sum of squares. d) Evaluate the mean square error. e) Construct a 90% confidence interval for B0. f) Construct a 90% confidence interval for B1.2. Are the strengths of Alloy A more consistent than Alloy B?please be specific
- 18. If the number of healthy fish f varies as the amount a of food available, how many fish would be present when 6 Ibs. of food are available? (Assume that 120 fish corresponds to 8 Ibs. of food.)Scatterplots 19 MO ME 0.2 0.4 0.6 0.8 1 Scatterplot 4 o 1 O U A 14- 13- 12- 11- 10- Ó -1- -2- -3 0 0.2 0.4 0.6 0.8 1 X Print Scatterplot 5 3 O Q Q Done s 6- 2- 15 0- 0 0.2 0.4 0.6 X - 4 XWhat is ag?
