Discrete Math 108 Question and
answers rated A+ 2026
90 degree clockwise
1. The rotation matrix for 270 degrees in the
rota-tion
counter-clockwise direction is the same one
as the one for a:
2. The turning of a figure or object about a fixed point is Rotation
called a:
3. The shape ABC is located at (1,1), (4,0), and (- (-1,1), (0,4), (1,-1)
1,-1). Using matrices, rotate this shape 90
degrees in the counterclockwise direction.
What are the coordinates for A'B'C'?
4. Which of the following statements is FALSE Only one element of
for the Cartesian product of two sets A and set A relates to an
B? element of set B.
5. Which of the following is NOT true about a bijection? It will be
graphed in the
Cartesian
plane
6. A ball is dropped and begins bouncing. On the 3.43 feet
first bounce, the ball travels 3 feet. Each
consecutive bounce is 1/8 the distance of the Finding the answer to
previous bounce. What is the total distance this problem requires
that the ball travels after it calcu-
first hits the ground? Round to the nearest hundredth. lating the
infinite value of
the series, a1/(1 - r).
Using that formula,
we get: 3 / (1 - (1 /
8)) = 3 /
1/
49
, () = 3 * () = 24 /
7 = 3.43 feet.
7. If 55 and 89 are two sequential terms of the Fibonacci 144
sequence, what term would come next?
Each term in a
Fibonac-ci sequence
is found by
2/
49
, Discrete Math 108
adding the two
previous terms, so in
this case, the next
term is 55 + 89 = 144.
8. What is an experiment that contains a fixed number of Binomial
Experiment
trials that results in only one of two outcomes:
success or failure?
9. Jeanette asks 50 students in her math class if they are Theoretical:
50%
comfortable using technology. Thirty-eight say Actual: 76%
they are comfortable using technology.
Calculate the theo-retical and actual Jeanette knows that there is a
probability of this scenario. 50% probability for
each individual student
on answering either
'yes' or 'no'.
Therefore, theoreti-
cally, 50% of the
class should be
comfortable with
technology.
Since Jeanette will be ask-ing
50 students, her to-
tal number of trials is
50. After conducting
her sur-vey, Jeanette
finds that 38 out of the
50 students feel
comfortable with
technol-ogy. She can
3/
49
,make this number into both a ratio (38:50) and a percentage (76%) for her
actual prob-ability. Therefore, 76% of students are comfortable
4/
49
answers rated A+ 2026
90 degree clockwise
1. The rotation matrix for 270 degrees in the
rota-tion
counter-clockwise direction is the same one
as the one for a:
2. The turning of a figure or object about a fixed point is Rotation
called a:
3. The shape ABC is located at (1,1), (4,0), and (- (-1,1), (0,4), (1,-1)
1,-1). Using matrices, rotate this shape 90
degrees in the counterclockwise direction.
What are the coordinates for A'B'C'?
4. Which of the following statements is FALSE Only one element of
for the Cartesian product of two sets A and set A relates to an
B? element of set B.
5. Which of the following is NOT true about a bijection? It will be
graphed in the
Cartesian
plane
6. A ball is dropped and begins bouncing. On the 3.43 feet
first bounce, the ball travels 3 feet. Each
consecutive bounce is 1/8 the distance of the Finding the answer to
previous bounce. What is the total distance this problem requires
that the ball travels after it calcu-
first hits the ground? Round to the nearest hundredth. lating the
infinite value of
the series, a1/(1 - r).
Using that formula,
we get: 3 / (1 - (1 /
8)) = 3 /
1/
49
, () = 3 * () = 24 /
7 = 3.43 feet.
7. If 55 and 89 are two sequential terms of the Fibonacci 144
sequence, what term would come next?
Each term in a
Fibonac-ci sequence
is found by
2/
49
, Discrete Math 108
adding the two
previous terms, so in
this case, the next
term is 55 + 89 = 144.
8. What is an experiment that contains a fixed number of Binomial
Experiment
trials that results in only one of two outcomes:
success or failure?
9. Jeanette asks 50 students in her math class if they are Theoretical:
50%
comfortable using technology. Thirty-eight say Actual: 76%
they are comfortable using technology.
Calculate the theo-retical and actual Jeanette knows that there is a
probability of this scenario. 50% probability for
each individual student
on answering either
'yes' or 'no'.
Therefore, theoreti-
cally, 50% of the
class should be
comfortable with
technology.
Since Jeanette will be ask-ing
50 students, her to-
tal number of trials is
50. After conducting
her sur-vey, Jeanette
finds that 38 out of the
50 students feel
comfortable with
technol-ogy. She can
3/
49
,make this number into both a ratio (38:50) and a percentage (76%) for her
actual prob-ability. Therefore, 76% of students are comfortable
4/
49
