A soft-drink machine can be regulated so that it discharges an average of u ounces per cup. If the ounces of fill are normally distributed with standard deviation 0.2 ounce, give the setting for μ so that 44-ounce cups will overflow only 4% of the time. (Round your answer to three decimal places.) μ = oz

An object is dropped straight down from a helicopter. The object falls faster and faster but its acceleration (rate of change of its velocity) decreases over time because of air resistance. The acceleration is measured in ft/sec² and recorded every second after the drop for 5 sec, as shown. Find the following estimates. to 1 2 3 4 5 a 32.00 19.41 11.77 7.14 4.33 2.63 a. Find an upper estimate for the speed when t = 5. ft/sec b. Find a lower estimate for the speed when t = 5. ft/sec c. Find an upper estimate for the distance fallen when t = 3. ft

Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probability plot of the residuals. c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.

The number of visits to public libraries increased from 1.4 billion in 1999 to 1.7 billion in 2003. Find the average rate of change in the number of public library visits from 1999 to 2003. The average rate of change between 1999 and 2003 was (Simplify your answer. Type an integer or a decimal) e to search E C billion ECER ? Timp Remaining: 01:32:26 71°F Sunny @ dal Next 6:43 AM 10/23/2022 5

A lab technician's volume measurements are consistently 8% too high. What is the correct measurement if this technician records a volume of 172 mL?

a magnificaton is scaled so that 3.5" on it equals .1" in actuality. So a measurement on it of 3/16" is how much actual?

What are two other names for <KML?

3. Given 100 grams of bacteria that decreases at a rate of 2 per year. What would be an appropriate range after 4 years? Osxs5 Osys100 Osxs100 6.25sys100

k. Find the p nding to the data speed 5.9 Mbps. 0.2 0.2 0.2 03 05 E 0.7 0.9 1.5 1.7 2.2 2.4 37 3.9 4.3 5.7 91 94 94 10 5 11.3 12.3 13.7 14 9 15.3 25 8 Percentile of 5.9 =0.2 (Round to the nearest whole number as needed.) LO O 2N O o N 5 O 2N

678.82 volts peak equals ______ volts RMS