(d) There are two alternatives: (i) Winning $1 if the sum of the 200 numbers drawn is between –5 and +5 6 Winning $1 if the average of the 200 numbers drawn is between –0.025 and +0.025. Which is better, or are they the same? The number of draws is n=200 (a) average=sum/n = (30/200) = 0.15 (b) average=sum/n = (-20/200) = -0.1 (c) Average = sum/200 (d) (i) and (ii) are the same. –0.025 = (-5/200) and 0.025=(5/200). So if –5 happens, -0.025 is happening, too, and if 5
Multiply each term by the common ratio to find the next three terms. 25 × 0.5 = 12.5 12.5 × 0.5 = 6.25 6.25 × 0.5 = 3.125 The next three terms of the sequence are 12.5, 6.25, and 3.125. 7. 4, −1, ,… SOLUTION: Calculate the common ratio. The common ratio is × × × = = = .
The SD for N=36: | 0.575 | 7c. Twelve-sided dice. The mean for N=100: | 6.5 | 7d. Twelve-sided dice. The SD for N=100: | 0.345 | 8a.
Determining the mass of the two unknown weights (unknown weight #1 and #2) was determined using only the centigram balance using the weighing by difference method. Unknown weight # 1 had a mass of 24.82 g while unknown weight #2 had a mass of 25.17 g. The average mass experiment was conducted by individually weighing five different copper slugs on an electronic balance, then
Number – 19g average mass 1.7g 4) If a 4th isotope of beanium, D (green), were added to the pool, how would the average atomic mass change? Mixture of an element and a compound, changing the subscript changes of the compound. 5) Compare your average atomic mass to that group next to you. Why is the number slightly different? Would the difference be larger or smaller sizes were used?
a. 2x2+5x –3 b. 3x2–2x –5 c. 6x2–17x+12 d. 8x2+33x+4 e. 9x2+5x –4 f. 15x2–19x+6 3. Factor a difference of squares trinomial. Pick any three problems and find the difference.
Assignment 3 (2014) QA026 1. A die is biased so that, when it is rolled, the probability of obtaining a score of 6 is ¼. The probabilities of obtaining each of the five scores 1, 2, 3, 4, 5 are equal. Calculate the probability of obtaining a score of five with this biased die. a.
The coordinates for 0 radians would be (5,0). The coordinates for /4 radians would be [(square root of 2)/2, (square root of 2)/2]. The coordinates for /2 radians would be (0,5). 5) Consider the two points in Quadrant I on Circle B. What is the special relationship between them?
For this assignment we will be working on problem #68 from page #539 (Dugopolski, 2012). An 18-wheeler can carry a maximum of 330 TVs and no refrigerators, or no TVs and a maximum of 110 refrigerators. The diagram we were given shows the TVs on the y-axis and the refrigerators on the x-axis. In order to figure the
Adding the two cases above, we arrive at the answer: un = un−1 + un−2 . (c): Use either (a) or (b) to determine the number of bit strings of length 7 that do not contain two consecutive zeros. SOLUTION: We note directly that u1 = 2 and u2 = 3. Then u3 = 2 + 3 = 5, u4 = 3 + 5 = 8, u5 = 5 + 8 = 13, u6 = 8 + 13 = 21, and u7 = 13 + 21 = 34. Problem 3.