Highlight correct answer
Question 1
Determine which of the following paradoxes might result when using Jefferson’s apportionment method.
Group of answer choices
The Alabama paradox
The New States paradox
The Population paradox
None of the above
The probability that an event A occurs given that event B has occurred is given by ____.
Group of answer choices
P ( A ) P ( B )
P ( A a n d B ) P ( B )
P ( B ) P ( A )
P ( A a n d B ) P ( A )
If the probability of A and B occurring simultaneously is zero, then A and B are ____.
Group of answer choices
mutually exclusive events
dependent events
independent events
not mutually exclusive events
Which of the following algorithms can you use to find an optimal Hamiltonian circuit in a complete graph?
Group of answer choices
Nearest Neighbor Algorithm
Repeated Nearest Neighbor Algorithm
Brute Force Algorithm
Sorted Edges Algorithm
Find the expected number of boys for a two-child family assuming boys and girls are equally likely.
Group of answer choices
1
0
2
3
Question 6
If the probability of an event is 3/4, what is the probability of the complement of this event?
Group of answer choices
1/4
1/2
3/4
1/3
There are 15 students in a classroom, nine girls and six boys. What is the probability of randomly selecting two girls?
Group of answer choices
5/13
12/35
3/4
2/9
Question 8
Which fairness criterion is violated in an election in which the choice that is preferred in every one-to-one comparison with the other choices, is not the winner?
Group of answer choices
Condorcet criterion
Monotonicity criterion
Majority criterion
Independence of Irrelevant Alternatives criterion
Question 9
Find the simple interest rate if you borrowed $5,500 and agreed to pay $5,678.75 after one year? Round to two decimal places.
Group of answer choices
3.25%
4.50%
3.45%
4.05%
The odds of raining tomorrow are 3 to 7. What is the probability that it will rain tomorrow?
Group of answer choices
7/10
3/7
7/3
3/10
Evaluate the permutation P(4,2).
Group of answer choices
32
24
6
12
Given the following scatter plot, determine which of the statements is true.
Group of answer choices
These variables have perfect positive correlation.
There is a strong negative correlation between these variables.
There is no correlation between these variables.
There is a weak negative correlation between these variables.
Find the mode of the following data: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Group of answer choices
0
5
9
There is no mode
Question 14
The IQ scores of 30 students enrolled in a math class are as follows: 102, 86, 111, 97, 93, 104, 114, 116, 97, 108, 100, 111, 96, 100, 114, 118, 99, 95, 110, 113, 111, 112, 107, 97, 116, 105, 108, 95, 100, 111. Create a pie chart to represent this data.
Group of answer choices
The following graph is a ____.
Group of answer choices
line graph
frequency chart
histogram
pie chart
Determine which region or regions in the Venn diagram below represent A’ ∩ B.
Group of answer choices
I and IV
III
I
III and IV
The set of all consonants in the English alphabet and the set C = {x | x is a consonant in the English alphabet} are ____.
Group of answer choices
not equivalent
similar
not equal
equal
Determine which of the following statements is true about standard deviation.
Group of answer choices
It cannot be zero.
It is negative if all the data values are equal.
Has the same unit as the original data.
It is not influenced by outliers.
To determine the number of four-digit pins with no repeated digits you need to use ____.
Group of answer choices
a combination
neither a permutation nor a combination
a permutation
a two-part task
Ann earned a score of 1,700 on her SAT with a corresponding Z-score of 0.85. She would like to know what percentile she falls in among all SAT test-takers.
Group of answer choices
85%
75%
80%
70%
A ____ is an arrangement in which no repetitions are allowed and the order matters.
Group of answer choices
permutation
one-part task
combination
multi-part task
Determine which of the following statements about the following graph are true. Check all that apply.
Group of answer choices
There is a Euler circuit.
There is a Euler path.
There is no Euler circuit.
There is no Euler path.
Question 23
A set of data values is normally distributed with a mean of 50 and standard deviation of 10. Determine the Z-score of 55.
Group of answer choices
0.75
0.5
-0.75
-0.5
Determine which of the following statements about the graph below is true.
Group of answer choices
Vertices A and E are adjacent.
Vertex E has degree 2.
Edge BE is not a bridge.
This is a disconnected graph.
ACT scores closely follow the normal model with mean 20 and standard deviation 5. Use the 68-95-99.7 Rule to determine the percentage of test takers who will score between 10 and 30.
Group of answer choices
68%
99.7%
47.5%
95%
Question 26
Calculate the mean of the following data: 2, 6, 3, 8, 5.
Group of answer choices
5.0
4.7
5.1
4.8
Evaluate the combination C(6, 3).
Group of answer choices
20
120
35
720
Question 28
How many five-digit numbers exist if a number starting with zero is not considered a five-digit number?
Group of answer choices
25,847
100,000
27,216
90,000
If two events A and B are independent, then P(A and B) = _____.
Group of answer choices
P(A) – P(B)
P(A) + P(B)
P(A)/P(B)
P(A)*P(B)
Determine which of the following statements is true about the normal distribution.
Group of answer choices
68% of the data is within one standard deviation of the mean.
95% of the data is within three standard deviations of the mean.
99.7% of the data is within two standard deviations of the mean.
75% of the data is within one standard deviation of the mean.
The regression line that best fits the following data is Y = -0.65X + 7.68. Use the regression line to predict the value of Y when X = 3.
| X | Y |
| 2 | 7 |
| 1 | 8 |
| 6 | 5 |
| 3 | 4 |
| 4 | 4 |
Group of answer choices
4.00
2.43
4.55
5.73
Use a tree diagram to determine how many different outfits a person with five t-shirts and two pairs of jeans can wear.
Group of answer choices
8
10
7
9
The downtown business association is electing a new chairperson. There are four candidates: Brian, Natalia, Nick, and Rose. The preference schedule for the election is found below. Find the winner under the plurality method.
| 2 votes | 2 votes | 6 votes | 3 votes | 4 votes | |
| 1st Choice | Natalia | Natalia | Brian | Nick | Rose |
| 2nd Choice | Nick | Rose | Rose | Brian | Nick |
| 3rd Choice | Brian | Brian | Nick | Natalia | Brian |
| 4th Choice | Rose | Nick | Natalia | Rose | Natalia |
Group of answer choices
Brian
Natalia
Nick
Rose
Question 34
Determine which of the following statement is false about Pearson correlation.
Group of answer choices
A value of -1 indicates a weak negative correlation.
A value of 0 indicates no linear relationship between the variables.
A value of 1 indicates a perfect positive correlation.
It ranges between -1 and 1.
A combination is an arrangement in which repetitions are ____ and the order ____.
Group of answer choices
allowed; matters
not allowed; does not matter
allowed; does not matter
not allowed; matters
Determine which of the following form the Five-Number summary.
Group of answer choices
First quartile, second quartile, mean, third quartile, fourth quartile
Minimum, first quartile, median, third quartile, maximum
Minimum, first quartile, mode, third quartile, maximum
Minimum, first quartile, mean, third quartile, maximum
You can afford $250 per month as a car payment. If you can get an auto loan at 3% interest for 60 months, how expensive of a car can you afford? Round to the nearest dollar.
Group of answer choices
$14,247
$14,382
$13,956
$13,913
Represent in set-builder notation the set containing all vowels.
Group of answer choices
The set of all vowels
{vowels}
{x | x is a vowel}
{a, e, i, o, u}
You deposit $500 each month into a savings account earning 6% compounded monthly. How much will you have in the account in ten years? Round to the nearest dollar.
Group of answer choices
$80,375
$79,669
$81,940
$82,745
Calculate the range of the following data: 4, 12, 3, 6, 17, 2, 19, 16, 13.
Group of answer choices
17
9
14
15
