AnswersConcepts in Probability and Statistics AConditional Probability

Conditional Probability — Cumulative exam Answers

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Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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Circle O has a circumference of approximately 28.3 cm.

Question illustration
A
4.5 cm
B
9.0 cm
C
14.2 cm
D
28.3 cm
3

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. Two angles within each triangle are always congruent.
B
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
C
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
D
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
4

Triangle ABC will be dilated according to the rule(x,y), where point F is the center of dilation.

Question illustration
A
(-8,-4)
B
(-2,-1)
C
(0, 0)
D
(1, 0)
5

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

Question illustration
A
StartFraction 11 Over 64 EndFraction
Option A
B
StartFraction 11 Over 53 EndFraction
Option B
C
StartFraction 53 Over 64 EndFraction
Option C
D
StartFraction 53 Over 57 EndFraction
Option D
6

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle.

Question illustration
A
ΔJKM
B
ΔMKL
C
ΔKML
D
ΔLJK
7

Which polygon is a convex heptagon?

A
A polygon has 7 sides. No angles go inside of the shape.
Option A
B
A polygon has 8 sides. No angles go inside of the shape.
Option B
C
A polygon has 8 sides. One angle goes inside of the shape.
Option C
D
A polygon has 7 sides. One angle goes inside of the shape.
Option D
8

The chords intersect at point U.

Question illustration
A
2
B
4
C
6
D
8
9

Circle H is shown. Line segments G H and J H are radii. The length of G H is 20. Angle G H J is 162 degrees.

Question illustration
A
20
Option A
B
40
Option B
C
180
Option C
D
400
Option D
10

What is the sum of the interior angles of a quadrilateral?

A
90
Option A
B
180
Option B
C
270
Option C
D
360
Option D
11

Which statements about the clock are accurate? Select three options.

A
The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
B
The circumference of the clock is approximately 62.8 inches.
C
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
D
The length of the major arc between 3 and 10 is approximately 31.4 inches.
E
The length of the minor arc between 6 and 7 is approximately 5.2 inches.
12

Line segment BD passes through the center of circle C, BH = a, and HD = 8.

Question illustration
A
4.5 units
B
8 units
C
12 units
D
12.5 units
13

The equation can be used to find the length of .

Question illustration
A
3.0 cm.
B
9.8 cm.
C
10.5 cm.
D
12.8 cm.
14

The spinner is equally likely to land on any of the five sections.

Question illustration
A
One-fifth
Option A
B
Two-fifths
Option B
C
Three-fifths
Option C
D
Four-fifths
Option D
15

A solid right pyramid has a square base with an edge length of s units and a height of h units.

Question illustration
A
s2h units3
Option A
B
s2h units3
Option B
C
s2h units3
D
3s2h units3
16

Which explains whether or not a parallelogram can be classified as a rectangle?

A
A parallelogram is also a rectangle. Both quadrilaterals have four right angles.
B
A parallelogram is also a rectangle. Both quadrilaterals have opposite sides that are congruent, opposite sides that are parallel, and four congruent angles.
C
A parallelogram is not a rectangle. A rectangle has opposite sides that are congruent, and a parallelogram does not.
D
A parallelogram is not a rectangle. A rectangle must have four right angles, and a parallelogram must only have opposite angles congruent.
17

A composite figure is comprise of a semicircle, a hexagon, and a rectangle.

Question illustration
A
as a circle, two trapezoids, and a rectangle
B
as a semicircle, a pentagon, and two triangles
C
as a semicircle, a hexagon, and a rectangle
D
as a circle, six triangles, and a rectangle
18

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
A
(-2,-4)
B
(-2,-6)
C
(Negative nine-halves, negative 4)
Option C
D
(Negative nine-halves, negative 9)
Option D
19

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

Question illustration
A
2 ft3
B
4 ft3
C
6 ft3
D
8 ft3
20

An oblique cone has a radius of 5 units and a height of 9 units.

Question illustration
A
117.8 cubic units
B
141.3 cubic units
C
235.5 cubic units
D
282.6 cubic units

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