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C6 Q1 V1: A tire company makes tires that have a normal distribution with a mean of 65,000 miles with a standard deviation of 3000 miles prior to needing replacement. Find the probability that a tire lasts no more than 62,000 miles. CARRY ALL DECIMALS IN YOUR WORK BUT ROUND THE FINAL ANSWER TO 3 DECIMALS.

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Presented below is an aging schedule for Concord Company at December 31, 2021. At december 31,2021 the unadjusted balance in allowance for doubtful accounts is a credit of $13000. Journalize and post the adjusting entry for uncollectibles at dec 31 2021 Presented below is an aging schedule for Concord Company at December 31, 2021. Number of Days Past Due Not Yet Due Over 90 Customer Total 1-30 31-60 61-90 Anders $24,900 $11,200 $13,700 Blake 38,600 $38,600 Coulson 58,500 16,800 5,800 $35,900 Deleon 33,300 $33,300 Others 131,200 97,100 15,200 13,300 5,600 $286,500 $152,500 $32,200 $27,000 $35,900 $38,900 Estimated Percentage Uncollectible 3% 5% 12% 27% SUPPORT $9,693 Total Estimated Bad Debts $35,845 $4,575 $1,610 $ 3,240

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2019 2022 Product Quantity Price Quantity Price Movie 20 $6.00 30 $7.00 Burgers 100 2.00 90 2.50 Bikes 3 1,000.00 6 1,100.00 A very simple economy produces three goods: movies, burgers, and bikes. The quantities produced and their corresponding prices for 2019 and 2022 are shown in the table above.

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Book Problem 5 Use part I of the Fundamental Theorem of Calculus to find the derivative of $f(x) = \int_{0}^{x} \sqrt{8 + 2t^3} dt$ f'(x) = [NOTE: Enter a function as your answer.]

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A patient develops a blood infection with a capsule-producing strain of E. coli. Phagocytosis by macrophages will be essential to destroy the bacteria and resolve the infection. Which of the following will be directly required to allow opsonization of the encapsulated E. coli: Group of answer choices A. adsorption to host cell receptors B. release of TNF-alpha, IL-1, IL-6, and IL-8 C. toll-like receptor (TLR) binding of PAMPs D. binding of C5a to the C5a receptor (C5aR) E. release of alpha interferon F. none of the above apply

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1. (12 points) Every week you buy a ticket in a lottery that offers one chance in a million of winning. If you play every week for twenty-five years, what is the chance that you will never win? (Note: there are 25 times 52 weeks in twenty-five years = 1300 weeks.)

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A coin is tossed 26 times. Let X be the number of heads minus the number of tails. What is the highest possible value of X? What is the lowest possible value of X?

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Waiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the mean and median for each of the two samples, then compare the two sets of results. Single Line Individual Lines 6.3 4.1 6.5 5.2 6.6 5.7 6.7 6.2 6.9 6.6 7.3 7.6 7.4 7.6 7.6 8.5 7.6 9.2 7.6 9.8 The mean waiting time for customers in a single line is minutes. The median waiting time for customers in a single line is minutes. The mean waiting time for customers in individual lines is minutes. The median waiting time for customers in individual lines is minutes. Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it? A. The times for customers in a single line are much more varied than the times for customers in individual lines.

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This is where you may further apply the economic doctrines behind each school of thought: Think of the following: • What lasting contribution did your chosen school of thought bring?

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Water is flowing from a higher reservoir to a lower reservoir (Fig. 4), elevation difference 30 m. The total length of the galvanized iron pipeline is 80 m. The pipeline contains three fully open globe valves and two 90° standard elbow. Reservoirs are open to the atmospheric pressure. Determine the smallest standard pipe size that can be used to deliver water at 2.65 m³/min. Loss coefficients for entrance =0.5, each elbow=0.3, each globe valve=6, exit =1. Assume density of water is 1000 kg/m³ and viscosity of water is $10^{-3}$ Pa.s.

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