Math – 213 Problem Set Solve each of the following problems. 1. A coin is tossed four times. What is the probability that at least 2 heads will occur? 2. A pair of dice is rolled. What is the probability that the sum is equal to the following? a. 5 b. 10 c. at most 9 d. at least 8 3. A chip is drawn at random from a jar containing 8 red‚ 2 blue‚ 3 green‚ 4 yellow‚ and 3 white chips. Determine the probability that it is: a. Red b. Yellow or red c. Not orange 4. In a graduating class of 300 students
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Energy 1. A man climbs on to a wall that is 5 m high and gains 2200 J of potential energy. What is the mass of the man? Given: Formula: h = 5 m m = PE/gh PE = 2200 J Solution: m = 2200 J / (9.8 m/s2 x 5 m) m = 49 kg 2. Calculate the kinetic energy of a 500 kg car travelling at 50 m/s. Given: Formula: m = 500 kg KE = mv2/2 v = 50 m/s Solution: KE = 500 kg x (50 m/s)2 / 2 KE = 625 000 J Power 3. Riley climbs a flight of stairs in 3 minutes. If he
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Me1 Problem Set #2 The US College Enrollment and the “Third Law of Demand” A theorem proposed by Professors Alchian and Allen in their text‚ University Economics (1964) has had several rebirths of interest in the literature. The so-called “third law of demand‚” or “relative price theorem‚” holds that a fixed cost added to a good of varying quality causes the consumer to prefer the category considered of higher quality to the lower. Recently a number of studies‚ keeping this theorem in mind have
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1. EP Enterprises has the following income statement. How much net operating profit after taxes (NOPAT) does the firm have? Sales $1‚800.00 Costs 1‚400.00 Depreciation 250.00 EBIT $ 150.00 Interest expense 70.00 EBT $ 80.00 Taxes (40%) 32.00 Net income $ 48.00 a. $81.23 b. $85.50 c. $90.00 EBIT $150.00
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ECE 302 Problem Set 9 Fall 2013 The following problems have been selected from the course text. 4.78 In a large collection of wires‚ the length of a wire is X‚ an exponential random variable with mean 5π cm. Each wire is cut to make rings of diameter 1 cm. Find the probability mass function for the number of complete rings produced by each length of wire. 4.85 The exam grades in a certain class have a Gaussian pdf with mean m and standard deviation σ. Find the constants a and b so that
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GENERAL BIOCHEMISTRY Problem Set No. 1 Answered by: Andrea Rose A. Fajardo of BSFT 2-1N 1. Calculate the pH of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pKa=4.76) of: a. 2:1 pH = 4.76 + log[2]/[1] = 4.76 + 0.3010 = 5.06 b. 1:4 pH = 4.76 + log[1]/[4] = 4.76 + (-0.6021) = 4.16 c. 6:5 pH = 4.76 + log[6]/[5] = 4.76 + 0.0792
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Concepts and Problems in Macroeconomics Gross Domestic Product The statistic used to measure the United States economy is called the Gross Domestic Product (GDP). The GDP is defined as the “total market value of final goods and services produced within an economy in a given year” (O’Sullivan‚ Sheffrin‚ & Perez‚ 2008‚ pg. 102). There is the measurement of the nominal GDP‚ which is the value of the GDP in current dollars‚ and there is the real GDB‚ “which is a measure of GDP that controls for changes
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Principles of Macroeconomics‚ 9e - TB1 (Case/Fair/Oster) Chapter 14 The Labor Market in the Macroeconomy 14.1 The Labor Market: Basic Concepts 1 Multiple Choice 1) The functioning of the labor market primarily affects the shape of the A) aggregate demand curve. B) money demand curve. C) aggregate supply curve. D) planned investment curve. Answer: C Diff: 1 Topic: The Labor Market: Basic Concepts Skill: Conceptual AACSB:
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BE 13.8 Vertical analysis (common-size) percentages for Vallejo Company’s sales‚ cost of goods sold‚ and expenses are listed below: VERTICAL ANALYSIS 2012 2011 2010 Sales 100.0% 100.0% 100.0% Cost of goods sold 60.5 62.9 64.8 Expenses 26.0 26.6 27.5 Net Income 13.5 10.5 7.7 Did Vallejo’s net income as a percent of sales increase‚ decrease‚ or remain unchanged over the 3 year period. Provide numerical support for your answer. Sales – Cost of Goods Sold – Expenses = Net Income 100 – 64.8
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A common problem faced by incoming and returning students alike‚ is the task of selecting unfamiliar professors. Obviously‚ all students hope to select a good professor‚ but it is often a shot in the dark when selecting classes for the upcoming year. To combat this‚ I sat in on two different sections of the general education course. The course I chose was ECO 155 Principles of Macroeconomics. One section is taught by Dr. Julie Gallaway‚ and another section is taught by Dr. Mahua Mitra. My goal was
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