Numerade

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The number of reported violent crime in the U.S. between 2006 and 2019 is given in the following table. Year Violent crime 2006 1,435,123 2007 1,422,970 2008 1,394,461 2009 1,325,896 2010 1,251,248 2011 1,206,005 2012 1,217,057 2013 1,168,298 2014 1,153,022 2015 1,199,310 2016 1,250,162 2017 1,247,917 2018 1,209,997 2019 1,203,808 A. Find the average rate of change between 2006 and 2014 (to the nearest integer). B. Find the average rate of change between 2014 and 2019 (to the nearest integer).

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Barbara's fashionable friends always bought the newest, trendiest jeans, and ended up with too many "old" pairs occupying precious closet space. Barbara used her smarts and came up with a cool idea: encourage people to donate their jeans, or sell them to her for a nominal amount, and she would then rework them into snazzy jean jackets. Behold: Snazzy Inc. was born. But while Barbara is blessed with creativity and sewing skills, she needs help organizing and summarizing her business costs. Some transactions that Barbara engaged in this year, in no particular order, are as follows. 1. Purchased a new sewing machine for $2,200, with an estimated life of 5 years, used exclusively for her business. 2. Purchased thread, buttons, and patches for $320—all of which were used up this year. 3. Purchased new jeans for $950 and collected donated jeans from friends. 4. Paid friend $1,700 to help cut and sew the jackets together. 5. Finished making many jackets and sold all but one of them, and its total cost is $80. 6. Started the year with several completed jackets waiting to be sold; the combined cost of these was $370. 7. Paid $410 to ship three batches of jackets across the country as part of the sales transaction. 8. Paid $280 to run a series of ads in online channels. 9. Finished making all jackets she started except for one, which is still attached to the sewing machine, half-finished; it has an estimated cost so far of $40. 10. Began the year with no jackets in the partially completed stage. 11. Counted 40 pairs of jeans still waiting to be transformed at year-end; the cost of these is estimated at $120. 12. At the beginning of the year, had just 10 pairs of jeans sitting on the shelf untouched, with a combined cost of $30.

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Determine all periodic solutions, all limit cycles, and their stability for the following: dr dt = r(r − 1)(r − 3), dθ dt = 1

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The logical view of a database: Question 9Answer a. includes a digital dashboard. b. presents data as they would be perceived by end users. c. enables users to manipulate the logical structure of the database. d. displays the organization and structure of data on the physical storage media. e. allows the creation of supplementary reports.

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In the case of homothetic preferences, the entire change in demand from a price change is due to the substitution effect. true or false

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Why does AlCl3 form a sheet- like layered structure in its solid state, and what kinds of interactions happen in between the layers? An how does this affect its melting point?

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Some researchers suggest that a drug used to treat Alzheimer's disease may also be effective in treating type 2 diabetes mellitus.

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3. (Burnout) In a large factory building, where the fluorescent lights are kept on day and night, the lights burn out according to a Poisson process at a rate of $\lambda = 6$ per day. (Assume that lights are replaced as soon as they burn out for simplicity. Also a day refers to a 24 hour period.) For each part below, be sure to state the random variable and its distribution (if not already stated earlier), do calculations (if any) in a code chunk and report numerical answers in a complete sentence using inline code. (Rounding decimals to four digits is always a good idea) a. Find the probability that there are more than two burnouts between noon and 1 PM tomorrow. b. Find the probability that the next two burnouts will be at least 3 hours apart. c. On a certain day, you count the number of burnouts between 8 AM and 8 PM. Let the random variable X denote the number of burnouts that occur during this 12 hour time period. How many burnouts should you expect? With what standard deviation? (Please give your answer in a complete sentence, don't just write two numbers) d. On a certain day, you count the number of burnouts between 8 AM and 8 PM. Let the random variable X denote the number of burnouts that occur during this 12 hour time period. What does Chebychev's inequality say about $P(1 < X < 5)$? Be sure to show your work. e. Calculate the probability from part d. using the exact distribution of X.

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(15 points) Given that the wave number of the radiation absorbed by HBr(g) molecule is $\bar{\nu_0}$ = 2650 cm$^{-1}$, calculate the force constant (in N/m) of H-Br bond and ground vibrational energy (in kJ/mole). Hint: H: 1,008 g/mol and Br: 79,904 g/mol.

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Use the formula above to determine how long it will take an initial investment of $7,500 to grow to $24,000, if the account earns 11.6% interest per year, compounded annually. Round the solution to two decimal places.

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gloria g.