Assignment:
Part I :
Q1. 17 weekly low temperatures, in degrees Fahrenheit, were recorded during the months of February, March, April and May for a certain city. Using the Table function of Microsoft® Word, make a stem and leaf plot of the following data.
Temperatures: 15, 20, 27, 22, 28, 24, 30, 35, 38, 36, 44, 47, 42, 49, 53, 50, 48
Q2. A wildlife biologist tracks the number of wolves in a particular region. Data for 15 months is shown. Use Microsoft® Excel and the data to make a frequency table with intervals and a histogram.
15, 19, 24, 28, 26, 29, 17, 16, 17, 14, 22, 20, 18, 27, 27
Q3. In which year(s) is the number of employees in company A the same number of employees in company B? Use the graph to find the answer.
Use Microsoft® Excel and the following data to create a line graph.
|
Number of Employees at Two Companies
|
|
Year
|
Company A
|
Company B
|
|
1995
|
30
|
45
|
|
1996
|
50
|
50
|
|
1997
|
150
|
100
|
|
1998
|
150
|
100
|
|
1999
|
100
|
100
|
|
2000
|
60
|
100
|
|
2001
|
50
|
60
|
|
2002
|
50
|
65
|
|
2003
|
70
|
70
|
|
2004
|
110
|
80
|
Q4. A university offers a variety of history courses. The number of students enrolled in each course is outlined in the table. Use Microsoft® Excel and the data to create a pie chart.
|
History Students
|
|
Course
|
# enrolled
|
|
African-American History
|
20
|
|
Art History
|
32
|
|
American History
|
45
|
|
World History
|
60
|
|
European History
|
14
|
Part II:
Q1. Solve 196x2 + 9 = 0 by using square roots.
Solve r2 - 4r -= 12 by completing the square.
Solve n2 + 12n = 13 by completing the square.
Solve x2 - 26x = -25 by completing the square.
Solve 2x2 + 12x = -10 by completing the square.
Q2. A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, and it should be 12 feet longer than it is wide. What dimensions should she use for the vegetable garden? Round to the nearest hundredth of a foot.
Solve 8x = x2 - 9 by using the Quadratic Formula.
Solve 3x2 - 6x + 1 = 0 by using the Quadratic Formula. If necessary, round to the nearest hundredth.
Solve 3x2 + 5x - 1 = 0 by using the Quadratic Formula. If necessary, round to the nearest hundredth.
Find the number of solutions of the equation 6x2 + 4x + 4 = 0 by using the discriminant.
Find the number of solutions of the equation x2 + 7z + 2 = 0 by using the discriminant.
Q3. Solve c2 + 10c + 16 = 0.
Solve a2 + 14a + 40 = 0.
Q4. Workers preparing for the city's Fourth of July celebration shoot an object straight up with an initial velocity of 210 ft/s2 from a height of 3 feet above the ground. Will the object reach a height of 670 feet 0, 1, or 2 times? Use the equation h = -16 t2 + vt + c where v is the initial velocity in feet per second and c is the initial height in feet of the object above the ground. Use the discriminant to explain your answer.
Provide complete and step by step solution for the question and show calculations and use formulas.