AnswersGeometryN/A

N/A — Exam Answers

50 verified answers1 views
21
Free Preview

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors. If order does not matter, in how many ways can she pick four colors if green must be one of them?

A
10
B
15
C
4
D
6
22
Free Preview

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8. Why are the events not mutually exclusive?

A
The product of cap p times cap A and cap p times cap b is not equal to cap p times open paren cap A or cap b close paren .
B
The product of cap p times cap A and cap p times cap b is less than cap p times open paren cap A or cap b close paren .
C
The sum of cap p times cap A and cap p times cap b is less than cap p times open paren cap A or cap b close paren .
D
The sum of cap p times cap A and cap p times cap b is not equal to cap p times open paren cap A or cap b close paren .
23

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds?

A
1 percent
B
44 percent
C
11 percent
D
4 percent
24

The sum of the measures of the interior angles of a polygon is 2880 degrees How many sides does the polygon have?

A
14
B
18
C
16
D
20
25

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles. What type of triangle is created by the three cities?

A
an acute triangle, because 22 squared plus 54 squared is greater than 51 squared
B
an obtuse triangle, because 22 squared plus 54 squared is greater than 51 squared
C
an obtuse triangle, because 22 squared plus 51 squared is greater than 54 squared
D
an acute triangle, because 22 squared plus 51 squared is greater than 54 squared
26

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race. Which subset, cap A , of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A
cap A is equal to OPMN comma OMPN
B
cap A is equal to MOPN comma PMON
C
cap A is equal to MOPN comma MPON comma OPMN comma POMN
D
cap A is equal to MOPN comma MPON comma PMON comma POMN
27

A parabola can be represented by the equation y2=12⁢x. Which equation represents the directrix?

A
x is equal to 3
B
y is equal to negative 3
C
y is equal to 3
D
x is equal to negative 3
28

The volume of a cone is 3⁢π⁢x3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units?

A
3 x
B
9 pi x squared
C
3 pi x squared
D
6 x
29

What is the length of line segment EB ?

A
65 units
B
73 units
C
50 units
D
42 units
30

What is the height of the triangle?

A
17 units
B
68 units
C
34 units
D
51 units
31

In the given diagram, tangent theta is equal to square root of 3 What is the value of m ?

A
the fraction with numerator square root of 3 and denominator 2
B
square root of 3
C
2 square root of 3
D
the fraction with numerator square root of 3 and denominator 3
32

What are the measures of angles PQR and PSR ?

A
m angle PQR is equal to 90 degrees and m angle PSR is equal to 90 degrees
B
m angle PQR is equal to 54 degrees and m angle PSR is equal to 54 degrees
C
m angle PQR is equal to 96 degrees and m angle PSR is equal to 84 degrees
D
m angle PQR is equal to 84 degrees and m angle PSR is equal to 96 degrees
33

What is true about triangle ABC ? Choose three correct answers.

A
The triangle is an equilateral triangle.
B
line segment AB perpendicular to line segment AC
C
The triangle is an isosceles triangle.
D
The triangle is a right triangle.
E
line segment BC is parallel to line segment AC
34

What is the length of line segment GH ?

A
16 units
B
5 units
C
7 units
D
24 units
35

Which solution finds the value of x in the triangle?

A
secant 60 degrees is equal to 8 over x 1 half is equal to 8 over x x is equal to 16
B
cosecant 60 degrees is equal to 8 over x the fraction with numerator 2 square root of 3 and denominator 3 is equal to 8 over x x times 2 square root of 3 is equal to 24 x is equal to the fraction with numerator 24 and denominator 2 square root of 3 x is equal to the fraction with numerator 12 and denominator square root of 3 times the fraction with numerator square root of 3 and denominator square root of 3 x is equal to the fraction with numerator 12 square root of 3 and denominator 3 x is equal to 4 square root of 3
C
secant 60 degrees is equal to 8 over x 2 is equal to 8 over x 2 x is equal to 8 x is equal to 4
D
cosecant 60 degrees is equal to 8 over x the fraction with numerator square root of 3 and denominator 2 is equal to 8 over x x times square root of 3 is equal to 16 x is equal to the fraction with numerator 16 and denominator square root of 3 x is equal to the fraction with numerator 16 and denominator square root of 3 times the fraction with numerator square root of 3 and denominator square root of 3 x is equal to the fraction with numerator 16 square root of 3 and denominator 3
36

What is the measure, in radians, of central angle POQ ?

A
2 pi over 3 radians
B
4 pi over 3 radians
C
3 pi over 4 centimeters
D
3 pi over 2 radians
37

What is the probability that a randomly selected car with no 4 -wheel drive has third-row seats?

A
0 point 7
B
0 point 3
C
0 point 8
D
0 point 4
38

The measure of central angle QRS is 8⁢π9 radians. What is the area of the shaded sector?

A
36 pi units squared
B
144 pi units squared
C
324 pi units squared
D
72 pi units squared
39

Kite WXYZ is graphed on a coordinate plane. What is the area of the kite?

A
12 square units
B
7 square units
C
8 square units
D
16 square units
40

What is the value of secant theta given the diagram?

A
the fraction with numerator square root of 5 and denominator 2
B
negative the fraction with numerator square root of 5 and denominator 2
C
negative square root of 5
D
square root of 5

Did you find these answers helpful?

More from this Course

Quiz
49 verified answers

Exam

practice exam
36 verified answers

Practice Exam

practice exam
43 verified answers

Practice Exam