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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Calculate the minimum value of n. (4) (Total 6 marks) 3. (a) Consider the geometric sequence −3‚ 6‚ −12‚ 24‚ …. (i) (ii) Write down the common ratio. Find the 15th term. (3) Consider the sequence x − 3‚ x +1‚ 2x + 8‚ …. IB Questionbank Maths SL 1 (b) When x = 5‚ the sequence is geometric. (i) (ii) Write down the first three terms. Find the common ratio. (2) (c) Find the other value of x for which the sequence is geometric. (4) (d) For this value of x‚ find (i) (ii)
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Chapter 9 Practice Problems S9-2. Asset Market Value Percentage of Total Value × Total Purchase Price = Assigned Cost of Each Asset Land $ 80‚000 $80‚000 / $160‚000 = 50% × $150‚000 = $ 75‚000 Building 60‚000 $60‚000 / $160‚000 = 38% × $150‚000 = 57‚000 Equipment 20‚000 $20‚000 / $160‚000 = 12% × $150‚000 = 18‚000 Total $ 160‚000 100% $ 150‚000 Date Accounts and Explanation Debit Credit Land 75‚000 Building 57‚000 Equipment 18‚000 Notes Payable 150‚000 To record
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Biology Laboratory Report 4 Practical 7 Osmosis Name: Diana Baktybayeva Tutorial Group: D Lab Partner: Nurlan Mukazhanov Day: Monday afternoon Date: 17.11.14 Title: Osmosis Introduction. Osmosis is a particular type of passive transport involving the movement of water molecules from the region of low solute concentration to the region of high solute concentration through semi permeable membrane‚ which allows movement of solvent molecules‚ but not solute. The main principle
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Summary: Chapter 7 of Macionis and Plummer (2013) focuses on the idea of human societies through interactions of everyday life through the term ‘micro-society’. Building our social world is an important part where individuals participate in the interaction with others to form a ‘social construction of reality’‚ consequently‚ relying on social experiences to learn from their adopting behaviours of their cultures. John. B. Watson believed that our behaviour is shaped by our responses to the
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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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heat is produced in one minute? ( Nichrome = 100 x 10-8 Ω-m) Given: A = .05 mm2 = (.05)(10-3)2 = .05 x 10-6 m2 ‚ and L = 50 cm = .5 m . Formula: R = ρL/A Solution: R = (100 x 10-8)(.5)/(5 x 10-8) R = 10 ohms 7. A nine volt battery supplies power to a cordless curling iron with a resistance of 18 ohms. How much current is flowing through the curling iron? Given: R = 18 ohms Formula: V = 9 volts I = V/R Solution: I = 9 volts / 18
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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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