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- The average percent defective product of a manufacturing plant is 1.20%. On a particular day 50 pieces were rejected out of a total daily production of 2730 pieces. What is the percent increase of defective pieces for the day above the average percent defective? Round the answer to 2 decimal places.ASAP PLZ A man walks from his house to the office. If he leaves at 8:00 and walk at the rate of 2 kph, he will arrive 3 minutes earlier, but if leave at 8:30 and walk at 3 kph, he will arrive 6 minutes late. What time should he arrived in the office.An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned. The data for 8 recent years are shown. Required: Find the coefficient of determination. Only the final answer should be rounded-off to TWO decimal places.
- ☐True ☐FalseThe numerator in a t-ratio reflects the central tendency of the difference between what is being compared and the denominator reflects the variation within the groups.From a table inside a room with current temperature of 33 degrees Celsius , a left over Fried Chicken is removed and placed inside a refrigerator set to a temperature of 4 degrees Celsius. After 9 minutes the temperature of the chicken is 19 degrees Celsius. What is the temperature of the chicken, in degrees Celsius, after 22 minutes? (use 2 decimal places. unit is not needed)8. The number of carbon atoms in a fossil is given by the function y = 5100(0.95)x, where x represents the number of years since being discovered.What is the percent of change each year? Explain how you arrived at your answer.
- The Manuela of Steel Construction states the tolerance for weight variation is plus or minus 2.5%. A 36-foot length of structural tubing is designed to weight 58.5 pounds per foot. Calculate its weight at the heaviest and the lightest it can be inside of the 2.5% tolerance. Round your answers to the nearest hundredth of a pound. Show all work and steps.A statistics professor for STAT 250 wants to investigate how long it takes students to complete Exam 1. The times that it took all 715 STAT 250 students in Spring 2022 were recorded in the data set “Time to Complete Exam 1” found in StatCrunch. The time is recorded in minutes. A student who completed the exam in 50:30 (50 minutes and 30 seconds) would be recorded as 50.5 minutes. Find the proportion of all 50 minutes or more. (X ≥ 50). You can click on the bars of your histogram to help obtain this value. Show the values used for the calculation of the proportion as well as your answer. Round your proportion to four decimal places.The variable z varies jointly as the second power of x and the third power of y. When x=2 and y=2.2, z=20.4. Approximate the constant of variation to the nearest hundredth. What is the constant of variation? ____ (Simplify your answer. Write an integer or decimal rounded to the nearest hundredth as needed.)
- The frequency, or pitch, of a musical note varies inversely with the wavelength. The speed of sound, 340.2 meters per second, is the constant of variation. An “A” note in octave 3, has frequency of 220 Hertz. What is the wave length of the sound made by the turner in meters? Round your answer to the nearest thousandth, if necessary.7)The weight that can be safely supported by a 2- by6-inch support beam varies inversely with its length. A builder finds that a support beam that is 8 feet long will support 1000 pounds. Find the weight that can be safely supported by a beam that is 20 feet long. 8)The amount of time it takes to fill a whirlpool tub is inversely proportional to the square of the radius of the pipe used to fill it. If a pipe of radius 3.5 inches can fill the tub in 6 minutes, how long will it take the tub to fill if a pipe of radius 4.5 inches isused?Consider a setting where subjects have a list of M words to memorize. We wish to mathematically model the memory retention of these words. One simple theory is that the rate of change of the number of words memorized is proportional to how many words there are left to be memorized. To account for the possibility of forgetting words, the theory also suggests that words are forgotten at a rate proportional to the amount of words already memorized. In general, the constants of proportionality are different for memorizing and forgetting. (a) Define the variables and parameters involved and represent each with a letter to be used in the model. (b) Write a differential equation model based on this description and your choices in part 1a. ( c) Find the equilibrium point(s) of the model you came up with in part 1b. (d) Determine the stability of each equilibrium point. (e) What do your results from part 1d tell you about how many words someone will retain in the long run according to this…