geometry b - FINAL EXAM

given a(-3, 6) and b(0, 6), what are the coordinates of point p that lies on segment ab, such that ap:pb = 2:1?

(-1, 6)

point (4, 2) belongs to the circle with the center at (-1, 1). which statement verifies that the point (-5, -3) is not on the circle?

(4 + 1)^2 + (2 - 1)^2 =\ (-5 + 1)^2 + (-3 - 1)^2

if p(a) = 0.4, p(a and b) = 0.2, and p(a or b) = 0.5, what is p(b)?

0.3

given that p(a) = 0.8 and p(a and b) = 0.6, if a and b are independent events, what is the probability of event b?

0.75

don has 12 white winter socks, 12 black winter socks, 4 black summer socks, and 12 white summer socks. if one sock is drawn at random, what is the probability that it is black, given that it is one of the summer socks?

1/4

given the probabilities below, for what p(b) are events a and b independent?

1/4

stephanie is going to form a clay model of the moon. the model will have a diameter of 2 feet, and the clay she will use comes in containers as described below. what is the least number of containers stephanie will need in order to complete the model?

11

a survey asked students whether they preferred to read on paper (p) or using electronic devices (e). based on the survey, if a junior or senior is selected at random, what is the probability that the student prefers to read using an electronic device?

11/24

if ac = 5 and cb = 13, what is the measure of ab?

12

what is the volume of a circular cone with a diameter of 6 cm and slant height of 5 cm?

12pi

the points (0, 1), (7, 1), and (2, -3) represent the vertices of a triangle. what is the area, in square units, of the triangle?

14

which corresponds to the perimeter of triangle abc?

15 + √125 units

what is the area of the shaded sector, given circle q has a diameter of 10?

18 3/4pi

what is m<b in the diagram below?

28

what is the volume of the rectangular pyramid?

320 cubic inches

a solid ball has a density of 2 grams per cubic centimeter. what is the volume, in cm3, of the ball if its mass is 8 grams?

4

what is the value of x?

42.5

if m<c = 55, then what is m<d?

55

the probability of some event is 40%. what is the probability of its complementary event?

60%

which reason justifies statements 2 through 5 in the proof below?

slope formula

which of the following would prove that abcd is a parallelogram?

slope of ad = slope of bc; length of ad = length of bc

what is the shaded area?

the complement of the circle in the square

which of these equations represents the circle below?

x^2 + (y - 2)^2 = 49

what is the equation of the line that is parallel to the given line and passes through the given point?

y = -2x + 8

what is the equation of the line that passes through the given point and is perpendicular to the given line?

y = 2/3x + 1

the results of a survey of students about whether they saw the latest movie are shown in the table. what is the best estimate of the probability that a randomly selected boy did not see the movie?

XXX 1/13

pressing a circular cookie cutter over a tray of 1 inch x 1 inch x 1 inch fudge cubes creates a cylinder. if the cylinder consists of approximately 12.6 fudge cubes, what is the approximate area of the cylinder's base?

XXX 4.0 square inches

circle o is first subject to a dilation with the center o such that it becomes the same size as circle o1. which subsequent transformation(s) will superimpose circle o onto circle o1?

XXX a reflection across line t only

which geometric solid is formed by rotating the rectangle about line m?

XXX rectangular prism

select the two-dimensional cross-sections that are rectangles.

XXXX cross-section of a right rectangular prism perpendicular to the base cross-section of a rectangle-based pyramid parallel to the base

what is the arc length of ab?

ab = 7.36 inches

aimed directly at a wall, joni's flashlight illuminates a circular region that is 10 inches in diameter. joni wants to know how large the circle would be if she doubled her distance from the wall. in order to solve this problem, which geometric shape should she use to represent the flashlight's beam?

cone

which information about the coordinates of m will prove that gm is a median of fgh?

m(1.5, 2)

if students can major either in humanities or sciences, which fact establishes that the observation "a student is male" is independent from the observation "a student is a Science major"?

males contribute the same fraction of students majoring in humanities as in sciences.