 # Quantitative Methods Questions

## Transcribed Text

1.1 1) Solve. 3y – 4 = 6y – 19 2) Solve. -3(4 - x) = 5 – (x +1) 3) Solve for m. y = mx + b. 1.2 4) Graph y = 𝑥 2 + 1 5) Find the slope and y intercept of y = 𝑥 5 - 1 2 6) Find the slope of the line passes through the points (2,3) and (-3,7). 2.1 7) given f(x) = 2x – 3. Find f(-6) 8) Given g(x) = x2 + 2x . Find g(3)+g(7). 2.3 9) Given g(x) = x2 – 6x + 5. Find: a)Intercepts b) Vertex c) Maximum or minimum d) Range. 2.5 10) Solve. 5 3x = 54x-2 HW 2 2.6 1. Find x to four decimal places. A) log x = 2.0832 B) log x = -1.1577 C) ln x = 3.1336 D) ln x = -4.3281 2. Solve. 10^ x = 153 3.1 3. Use the formula for simple interest to find each indicated quantities. A) I = \$48; P=\$600; t= 240 days ; r=? B) P = \$4,500; r = 10% ; t = 1quarter ; A =? 3.2 4. If \$2,000 is invested at 7% compounded A) annually B) quarterly C) monthly What is the amount after 5 years? How much interest is earned? 5. How long will it take \$42,000 to grow to \$60,276 if it is invested at 4.25% compounded continuously? 4.1 6. Solve. 2x – 3y = -8 5x + 3y = 1 4.4 7. Perform the indicated operations, if possible. A) [ −3 5 2 0 1 4 ] + [ 2 1 −6 3 0 − 5 ] B)[ −3 2 4 −1] [−2 5 −1 3] 4.5 8. Find the inverse of [ −4 3 −5 4] 4.6 9. Find x and y. [ 𝑥 𝑦 ] = [ −2 1 −1 2] [ 3 −2 ] Hw 3 5.1 #1) Graph the inequality: Y > x + 1 5.2 #2) Graph the solution region: X + 2 y ≥ 8 3 X – 2 y ≤ 0 #3) Solve the system graphically and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner points. 3 x + 4 y ≤ 24 X ≥ 0 Y ≥ 0 5.3 #4) Minimize and Maximize: Z = 8 x + 7 y Subject to: 4 x + 3 y ≥ 24 3 x + 4 y ≥ 8 X , y ≥ 0 7.2 Write the resulting set using the listing method. #5) { -3, -1} ∩ { 1 ,3} #6) { x │ x2 =36 } 7.3 #7) A college offers 2 introductory courses in history, 3 in science, 2 in mathematics, 2 in philosophy, and 1 in English. A) If a freshman takes one course in each area during her first semester, how many course selections are possible? B) If a part-time student can afford to take only one introductory course, how many selections are possible? 8) Use the information to determine the number of elements in each of the four disjoint subsets in the following Venn diagram. n(A) = 45 n(B) = 35 n(A ∩B)=15, n(U) =100 9) A particular new car model is available with 5 choices of color, 3 choices of transmission, 4 types of interior, and 2 types of engine. How many different variations of this model are possible? 7.4 10) How many ways can a 3-person subcommittee be selected from a committee of 7 people? How many ways can a president, vice-president, and secretary be chosen from a committee of 7 people? 11) A catering service offers 8 appetizers, 10 main courses, and 7 desserts. A banquet committee selects 3 appetizers, 4 main courses, and 2 desserts. How many ways can this be done? HW4 8.1 #1) An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Using the sample space and assuming each simple event is as likely as any other, find the probability of the sum of the dots indicated. Sum is not 2, 4, or 6. 8.2 2) In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. Compute the probability that the number drawn is odd or greater than 15. 3) A single card is drawn from a standard 52-card deck. Calculate the probability of and odds for a king or a heart is drawn. 11.2 4) Find the mean, median, and mode for the set 1,1,1,1,2,3,4,5,5,5 11.3 5) Find the standard deviation for the set 1,1,1,1,2,3,4,5,5,5

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