Cumulative Exam — Cumulative exam Answers

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What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

A
A data point is 1.3 units above the line of best fit.
B
A data point is 1.3 units below the line of best fit.
C
The line of best fit has a slope of –1.3
D
The line of best fit has a slope of 1.3.
2
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The value of a computer depreciates with age, as shown in the table.Value of a Computer

Question illustration
A
f(t) = 1,600 – 226.16t
B
f(t) = 1,600 – 320t
C
f(t) = 1,600(0.2)t
D
f(t) = 1,600(0.8)t
3

Analyze the diagram below and answer the question that follows. Can you prove that ? Justify your answer.

Question illustration
A
Yes, the triangles are congruent by SAS.
B
Yes, the triangles are congruent by SSS.
C
Yes, the triangles are congruent by SSA.
D
No, not enough information is given.
6

If bisects and , prove . Statements Reasons 1) 1) 2) 2) 3) 3) 4) 4)

Question illustration
A
1) Reflexive property of 2) Definition of an angle bisector 3) Definition of an angle bisector 4) AAS
B
1) Definition of an angle bisector 2) Reflexive property of 3) Definition of an angle bisector 4) SSA
C
1) Reflexive property of 2) Definition of an angle bisector 3) Definition of an angle bisector 4) ASA
D
There is not enough information to prove the triangles congruent.
7

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

Question illustration
A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
8

Which relationships could have a negative correlation? Select three options.number of hours worked and free timespeed of a car and minimum stopping distancethe speed of a train and the length of time to reach the destinationadult’s head circumference and agea tadpole’s age and the length of it’s tail

A
number of hours worked and free time
B
speed of a car and minimum stopping distance
C
the speed of a train and the length of time to reach the destination
D
adult’s head circumference and age
E
a tadpole’s age and the length of it’s tail
9

Which sample fairly represents the population? Select two options.using a yearbook to determine the most popular names for girls in the United Statesasking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercisescalling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral racesending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfactiontaking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City

A
using a yearbook to determine the most popular names for girls in the United States
B
asking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercises
C
calling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral race
D
sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction
E
taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City
10

Determine the length and midpoint of the segment whose endpoints are (–15, 9) and (–4, 11).

A
length = 11.18, midpoint = (–5.5, 1)
B
length = 11.18, midpoint = (–9.5, 10)
C
length = 26.17, midpoint = (–5.5, 1)
D
length = 26.17, midpoint = (–9.5, 10)
11

The data set represents the number of rings each person in a room is wearing.0, 2, 4, 0, 2, 3, 2, 8, 6What is the interquartile range of the data?

A
2
B
3
C
4
D
6
12

Mr. Walker is looking at the fundraiser totals for the last five years.

Question illustration
A
The median is $1.60 greater than the mean.
B
The mean is $1.60 greater than the median.
C
The median is $2.82 greater than the mean.
D
The mean is $2.82 greater than the median.
13

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

Question illustration
A
–6.72
B
–0.58
C
0.58
D
6.72
17

Analyze the diagram below and answer the question that follows. Is it possible to show that is congruent to ?

Question illustration
A
Yes; by the angle addition postulate, and by the symmetric property of congruence, so by SAS. Therefore, by CPCTC.
B
Yes; by the segment addition postulate, and by the reflexive property of congruence, so by SAS. Therefore, by CPCTC.
C
No; we cannot prove that , so we cannot use CPCTC to show that .
D
No; , but is not a corresponding angle to , so they cannot be proven congruent by CPCTC.
18

Quadrilateral has vertices , , and . Determine if quadrilateral is a parallelogram.

Question illustration
A
No, quadrilateral is not a parallelogram. The opposite sides are not parallel.
B
Yes, quadrilateral is a parallelogram because there are two pairs of perpendicular lines.
C
Yes, quadrilateral is a parallelogram because both pairs of opposites sides are parallel.
D
There is not enough information to determine.
20

Analyze the diagram below and complete the instructions that follow. Given: The diagram above; , , and all bisect each other at Prove: . Statements Reasons 1) ; , , and all bisect each other at ; and are right angles 1) 2) , , and 2) 3) 3) 4) and are right triangles 4) 5) 5)

Question illustration
A
1) Given 2) Definition of bisector 3) Transitive property of congruence 4) Definition of a right triangle 5) HL theorem
B
1) Given 2) Given 3) Transitive property of congruence 4) Definition of a right triangle 5) HL theorem
C
1) Given 2) Definition of bisector 3) Reflexive property of congruence 4) Definition of a right triangle 5) HL theorem
D
There is not enough information to prove the triangles congruent.

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