SET 1 (p. 3) Flashcards
- A bag contains 3 white balls and 5 red balls. If 2 balls are drawn together, find the probability that all are the same color.
13/28 (p. 7)
- A bicycle tire has a diameter of 24 inches. From rest it accelerates at a constant rate of 2ft/sec². What is the angular velocity when it has traveled 1 mile?
145.33 rad/sec
9: A water container has a square base 2 ft by 2 ft. A metal sphere is placed fully submerged inside the container causing water to rise 0.16 ft. What is the radius of the metal sphere?
0.53 ft
- Find the perimeter of a regular hexagon whose apothem is 15 cm.
103.92 cm (p. 9)
- The ellipse has its center at ( 0, 0 ), one end of minor axis at ( 5, 0 ) and distance between foci 6.633. Find the equation of the ellipse.
36x² + 25y² = 900 (p. 9)
- A hollow metal pipe is 30 cm long. The cross-section has an inner diameter of 2.5 cm and outer diameter of 3.2 cm. Find the volume of metal needed to make the pipe.
94 cm³ (p. 9)
- Find the equation of the circle with center at ( -3, 6 ) and touches the x-axis.
x^2 + y^2 + 6x -12y + 9 = 0
23: A line was measured by a 20 m long tape. There are 2 tallies and 3 pins, and the distance of the last pin to the end of the line is 5.74 m. Find the length of the line.
465.74 m
- Assume that any distance of 100 ft can be taped with an error ±0.025 ft if certain techniques are employed. Determine the error in taping 4,000 ft using this skill.
±0.158 ft
- Find the equation of the line with x-intercept 5 and y-intercept of -3.
3x - 5y = 15
26: The line with y = mx + 3 passes through (2, 1). Find the slope m.
-1
- Find the distance between the parallel lines 3x - 4y + 4 = 0 and 3x - 4y - 16 = 0.
4
29: The total surface area of a cube is 34.56 cm². Find the volume of the cube.
13.824 cm³
- Given a triangular lot ABC with the following data:
(p. 11)
What is the measure of distance BC?
234.76 m (p. 11, 12)
- Which of the following statements is true about stemplots?
A. Whether or not to provide a key depends on the relative importance of the data.
B. Stemplots are useful both for quantitative and for categorical data sets.
C. Stems should be skipped only if there is no data value for a particular stem.
D. Stemplots can show symmetry, gaps, clusters, and outliers.
D