70. Harmonic Mean The harmonic mean of two numbers is the reciprocal of the average of the reciprocals of the two numbers. Find the harmonic mean of 3 and 5.
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- A coniidence interval estimate 1S desired for the gain in a circuit on a semiconductor device. Assume that the gain is normally distributed with o = 400. a) Construct ad 95% CI when n = 15 and x = 10,000 b) Was the interval accurate if the true mean of the gain is 9,700? c) Construct a 90% CI when n = 30 and x = 10,000.North End Coffee Roasters roast 300 bags of coffee per day in three shifts at an average rate of 62 bags/hour. During the first shift, 100 bags of coffee are roasted at 67 bags/hour and the next 100 bags are roasted at 80 bags/hour in the second shift. a) At what rate should North End roast their coffee in the third shift to meet the target average rate? (ans in exact fraction or rounded to at least 4 decimal place) Ans: ------- bags/hour b) After roasting each bag of coffee is sealed and labelled at the packaging stage at a rate of 91 bags/hour. What is the average rate of production for the entire process of roasting and packaging coffee beans at North End? (ans in exact fraction or rounded to at least 4 decimal place) Ans: ------- bags/hourThe geometric mean of two positive numbers a and b is the number sqrt(ab). Show that the value of c in the conclusion of the Mean Value Theorem for ƒ(x) = 1/x on an interval of positive numbers [a, b] is c = sqrt(ab).
- #9a using Descartes's rule of sign2nd ODE: ay" + by' + cy = g(t), for the function g(t), list 5 functions you must use variation of parameters to solve (can not use method of undetermined coefficients) .For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 20out of 860fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish. (a) Let prepresent the proportion of all pike and trout that die (i.e., pis the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit
- Pls help on question 5 show work pls im on a test thxThe average student enrolled in the 20-week Court Reporting I course at the American Institute of Court Reporting progresses according to the rule N ′ (t) = 6e −0.05t where N′ (t) measures the rate of change in the number of words per minute of dictation the student takes in machine shorthand after t weeks in the course. Assuming that the average student enrolled in this course begins with a dictation speed of 60 words/min, find an expression N(t) that gives the dictation speed of the student after t weeks in the course.33. Newton’s Method What will be the values offuture guesses for x if your initial guess is a zero of f ?Explain
- q(x)=−3(x+3)^2 The function above satisfies the conditions for the Mean Value Theorem on the interval [4,8]. Find the value of c that is guaranteed by the theorem. Give your answer as an exact fraction or radical if necessary. Do not include "c=" in your answer.Frequency of first interval 10.5 to 18.5 is _______.Draw a line segment 8 cm long. Subdivide it according to the golden ratio. Verify your work by computing the ratio of the whole segment length to the long segment length and the ratio of the long segment length to the short segment length. Show your complete solution on the following problems.Consider A = {x|x is the first 5 fibonacci number} and B = {2,4}. Determine the following:a. A x B b. A relation S from A to B such that (x, y) ∈ S means that x ≤ 3 and y > 2 and determine if S is afunction or not. Defend your answer by stating a definition.