Theoretical and Experimental Probability Answers

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The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles.

Question illustration
A
motor ⋃ manual
B
motor ⋃ bicycle
C
motor ∩ manual
D
motor ∩ bicycle
2
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The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

Question illustration
A
24
B
27
C
36
D
40
3

Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π square inches. The radius of the smaller cone is 6.4 inches. What is the radius of the larger cone?

A
8 inches
B
10 inches
C
11.52 inches
D
14.4 inches
4

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Question illustration
A
11.1 units3
B
14.8 units3
C
22.2 units3
D
44.4 units3
5

The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°.

Question illustration
A
5 ft3
B
9 ft3
C
14 ft3
D
19 ft3
7

The diameter of the base of the cone measures 8 units. The height measures 6 units.

Question illustration
A
24π cubic units
B
32π cubic units
C
48π cubic units
D
64π cubic units
8

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units.

Question illustration
A
320π cubic units
B
597π cubic units
C
640π cubic units
D
725π cubic units
9

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm.

Question illustration
A
(5.2)h cm3
Option A
B
(5.2)h cm3
Option B
C
(5.2)h cm3
Option C
D
(5.2)h cm3
Option D
10

Consider the sets below.A {x|x is a polygon}B {x|x is a triangle}Which is true?

A
A ⊂ B
B
B ⊂ A
C
Ac = B
D
Bc = A
11

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.What is the radius of the grape? Round to the nearest tenth of a centimeter.

Question illustration
A
1.0 cm
B
1.5 cm
C
1.9 cm
D
2.1 cm
12

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units.

Question illustration
A
units2
Option A
B
units2
Option B
C
units2
Option C
D
units2
Option D
13

Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

A
{x|x ∈ U and is prime}
Option A
B
{x|x ∈ U and 2x is prime}
C
{x|x ∈ U and can be written as a fraction}
Option C
D
{x|x ∈ U and 2x can be written as a fraction}
14

A cylinder has a radius of 2.8 inches and a height of 2.4 inches. Which cylinder is similar?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?

A
The surface areas are the same.
B
The surface area of the larger prism is 2 times the surface area of the smaller prism.
C
The surface area of the larger prism is 4 times the surface area of the smaller prism.
D
The surface area of the larger prism is 8 times the surface area of the smaller prism.
16

An oblique cylinder is shown.

Question illustration
A
120π
B
130π
C
300π
D
325π
17

In the Venn diagram, consider U = {whole numbers 1 – 100}.Let A represent numbers that are perfect squares, B represent numbers that are perfect cubes, and C represent numbers that are perfect fourths, or numbers with a fourth root that is an integer.

Question illustration
A
16, 81
B
1, 16, 81
C
1, 4, 9, 16, 25, 36, 49, 81, 100
D
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
18

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2.

Question illustration
A
12 cm3
Option A
B
16 cm3
Option B
C
24 cm3
Option C
D
32 cm3
Option D
19

A solid right pyramid has a square base with an edge length of x cm and a height of y cm.

Question illustration
A
xy cm3
Option A
B
x2y cm3
Option B
C
xy2 cm3
Option C
D
x2y cm3
Option D
20

In the Venn diagram, consider U = {students in 10th grade at Lee High School}.The diagram shows the electives chosen by the students in the 10th grade.

Question illustration
A
8
B
11
C
14
D
17

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