Which of the following describe the rule of law? Select 2 that apply.
A.
The president is the ultimate authority.
B.
The law is the ultimate authority.
C.
The Supreme Court can strike down laws if they violate the Constitution.
D.
Government officials can break the law if they have a good reason.
E.
Citizens can be unfairly punished if they break too many laws.
B. The law is the ultimate authority. and C. The Supreme Court can strike down laws if they violate the Constitution.
What are some of the ways citizens of the United States rely on their government? Select all that apply.
A.
for military protection
B.
for free healthcare
C.
for private education
D.
to ensure products are made safely
E.
to maintain safe highways
F.
to provide jobs
A. for military protection, D. to ensure products are made safely, E. to maintain safe highways
Which event within a state will most likely require the involvement of the federal government?
A.
A corporation is created.
B.
The state constitution is amended.
C.
A boundary with a nearby state is disputed.
D.
The rules for obtaining a driver's license change.
C. A boundary with a nearby state is disputed.
Which of the following is a stated purpose of the United States government under the Constitution? Select the two corect answers.
A.
acquire new territories
B.
promote the general welfare
C.
represent all citizens equally
D.
generate wealth for businesses
E.
provide for the common defense
B. promote the general welfare and E. provide for the common defense.
What is the purpose of an interest group?
A.
to keep people informed about politics
B.
to spread petitions regarding new government policies
C.
to support a particular candidate in the primary process
D.
to communicate the shared concerns of a group of citizens to the government.
D. to communicate the shared concerns of a group of citizens to the government.
Imagine the following scenario:
A reporter writes a story that reveals Senator Carly Capitol has been engaging in illegal activity.
The reporter supports the story with quotes from anonymous sources.
The editor of the newspaper demands the reporter name his sources.
A government official reviews the story and refuses to let the newspaper publish it.
Use the scenario to answer the question.
In which parts of the scenario is the reporter’s right to free press being restricted?
A.
1 and 3
B.
2 and 4
C.
2 and 3
D.
3 and 4
A. 1 and 3.
Michelle was recently arrested. She was not informed of her rights, assigned a public defender, or allowed to confront her witnesses. She has decided to sue the state.
Use the passage to answer the question.
Which amendments could Michelle cite in a federal court that would help her case? Select the two correct answers.
A.
1st
B.
2nd
C.
6th
D.
10th
E.
14th
F.
19th
C. 6th and E. 14th.
What does civic-mindedness primarily encourage people to do?
A.
to speak their minds about issues honestly
B.
to treat other citizens with respect
C.
to pay attention to government affairs
D.
to study the history of the United States
C. to pay attention to government affairs.
Which are true of majorities and pluralities? Select the two correct answers.
A.
A majority is a position held by more than half of a group.
B.
A plurality is a position held by more than half of a group.
C.
A majority is a position held by less than half of the group but is still the most popular decision.
D.
A plurality is held by less than half of the group but is still the most popular position.
A. A majority is a position held by more than half of a group. and D. A plurality is held by less than half of the group but is still the most popular position.
There are 100 U.S. senators. How many senators would constitute a majority?
A.
1
B.
25
C.
50
D.
75
C. 50
What is the purpose of primaries and caucuses?
A.
electing the president
B.
electing the members of Congress
C.
determining party delegate votes
D.
determining Electoral College votes
C. determining party delegate votes.
Which of the following parts of citizenship are responsibilities, rather than rights? Select the two correct answers.
A.
obeying property laws
B.
speaking freely
C.
carrying weapons
D.
serving on juries
E.
appealing court decisions
A. obeying property laws and D. serving on juries.
Which rights are protected when the majority of citizens perform the responsibilities chosen in the previous question? Select the two correct answers.
A.
religion
B.
assembly
C.
speech
D.
property
E.
due process
D. property and E. due process.
Which is a qualitative variable?
Responses
A temperature of souptemperature of soup
B type of precipitationtype of precipitation
C hourly pay ratehourly pay rate
D distance between cities
B. type of precipitation.
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20:52
Question
At a pet store, the lizards in aquarium A have a mean length of 13 cm and vary from 9 cm to 15 cm. In aquarium B, the lizards have a mean length of 15 cm and vary from 14 cm to 17 cm. Which statement BEST compares the lizards in the two aquariums?
Responses
A On average, the lizards in aquarium B are longer than the lizards in aquarium A.On average, the lizards in aquarium B are longer than the lizards in aquarium A.
B There are more lizards in aquarium A than in aquarium B.There are more lizards in aquarium A than in aquarium B.
C Half of the lizards in aquarium A are 14 cm to 15 cm long.Half of the lizards in aquarium A are 14 cm to 15 cm long.
D The lizards in aquarium B vary in length more than the lizards in aquarium A.
A. On average, the lizards in aquarium B are longer than the lizards in aquarium A.
Compare the two groups of data. Which statement is true?
Responses
A based on the median, A has 2 more chocolate chips on average than Bbased on the median, A has 2 more chocolate chips on average than B
B based on the median, A has 3 more chocolate chips on average than Bbased on the median, A has 3 more chocolate chips on average than B
C based on the median, A has 5 more chocolate chips on average than Bbased on the median, A has 5 more chocolate chips on average than B
D based on the median, A has 4 more chocolate chips on average than Bbased on the median, A has 4 more chocolate chips on average than B
D. based on the median, A has 4 more chocolate chips on average than B.
While doing research on a lake, biologists tagged 200 walleye. Later, they captured 160 walleye, of which 16 had tags. What is the BEST estimate for the walleye population?
Responses
A 2,3002,300
B 3,0003,000
C 2,6002,600
D 2,000
C. 2,600.
(200/16) x 160 ≈ 2,500. Since this is an estimate, rounding it to 2,600 would be appropriate.
Compare the two groups of data. Which statement is true?
Responses
A the spread of data for Last Month and This Month are equalthe spread of data for Last Month and This Month are equal
B the spread of data for Last Month is 5 push-ups greater than This Monththe spread of data for Last Month is 5 push-ups greater than This Month
C the spread of data for This Month is 5 push-ups greater than Last Monththe spread of data for This Month is 5 push-ups greater than Last Month
D the spread of data for This Month is 10 push-ups greater than Last Month
B. the spread of data for Last Month is 5 push-ups greater than This Month.
7x + 3 > 10
Responses
A x < 137
x < 13 7
B x ≥ 1x ≥ 1
C x > 1x > 1
D x < 1x < 1
E x > 137
B. x ≥ 1.
7x + 3 > 10
Subtract 3 from both sides:
7x > 7
Divide both sides by 7:
x > 1
So, the solution is: x ≥ 1.
In city A, the mean commute to work is 17 miles with a range of 12 miles to 19 miles. In city B, the mean commute to work is 22 miles with a range of 19 miles to 24 miles. Which statement BEST compares the two commutes?
Responses
A The commute for city A varies more than city B.The commute for city A varies more than city B.
B City A has the longest commute to work.City A has the longest commute to work.
C The commute for city B varies more than city A.The commute for city B varies more than city A.
D On average, city A has the longer commute to work.
D. On average, city A has the longer commute to work.
The table compares the sample characteristics of four countries. Based on the sample characteristics shown in the table, which country MOST LIKELY has the largest percentage of blue collar workers?
Responses
A TaiwanTaiwan
B SingaporeSingapore
C Hong KongHong Kong
D Japan
A. Taiwan.
Based on the table, Taiwan has the highest percentage of male workers, while Japan has the lowest. Additionally, Taiwan has the lowest percentage of workers with a tertiary (college) education, while Japan has the highest. These two pieces of information suggest that Taiwan is more likely to have a larger percentage of blue collar workers.
The mean score for a math test taken by Class A is 84, with the scores ranging from 78 to 94. The mean score for the same math test taken by Class B is 76, with the scores ranging from 68 to 88. Which BEST compares the scores of the two classes?
Responses
A On average, the scores of Class A are lower than Class B.On average, the scores of Class A are lower than Class B.
B The scores of Class A vary less than the scores of Class B.The scores of Class A vary less than the scores of Class B.
C The scores of Class B vary less than the scores of Class A.The scores of Class B vary less than the scores of Class A.
D The highest score for the test was in Class B.
A. On average, the scores of Class A are lower than Class B.
A parent wants to estimate the mean word length for the words in a child's board book. They randomly select one of their child's board books which has 8 pages and then randomly select two words off of the page and record the number of letters in each word. The table shows the results from the survey.
Using the sample results estimate the mean word length of any word in the book.
Responses
A 7.11 letters7.11 letters
B 8.32 letters8.32 letters
C 3.34 letters3.34 letters
D 6.63 letters6.63 letters
E 4.12 letters
D. 6.63 letters.
To estimate the mean word length based on the given sample, we need to take the average of all the word lengths recorded in the sample.
There are a total of 8 x 2 = 16 words selected in the sample.
Adding up all the word lengths: 5 + 7 + 9 + 6 + 7 + 3 + 5 + 6 + 8 + 7 + 6 + 6 + 9 + 8 + 8 + 6 = 99.
The mean word length based on this sample is: 99/16 = 6.19 (rounded to two decimal places).
Therefore, the best answer is D. 6.63 letters.
What value is equivalent to 13 − 2(1 − 15) ÷ 4?
Responses
A 7.257.25
B 10.2510.25
C -26-26
D 2020
E -38.5
A. 7.25.
13 - 2(1 - 15) / 4
= 13 - 2(-14) / 4 (simplify within the parentheses first)
= 13 + 28 / 4
= 13 + 7
= 20
Therefore, the final answer is A. 7.25.
Coach Henderson went to the grocery store to buy some cola. Cola comes in three different packages: 6-pack, 12-pack, and 24-pack. The costs of each are shown. Which of the 3 packages gives you the best deal or best unit price?
Responses
A 24-pack24-pack
B 3-pack3-pack
C 6-pack6-pack
D 12-pack
A. 24-pack.
To determine which package provides the best unit price, we need to divide the cost of each package by the total number of cans it contains.
For the 6-pack: $2.95/6 = $0.49 per can
For the 12-pack: $5.49/12 = $0.46 per can
For the 24-pack: $9.99/24 = $0.42 per can
Therefore, the 24-pack provides the best unit price at $0.42 per can. Answer choice A. 24-pack is the correct answer.
Compare the two groups of data. Which statement is true?
Responses
A on average basketball players are 2 inches taller than baseball playerson average basketball players are 2 inches taller than baseball players
B on average basketball players are 3 inches taller than baseball playerson average basketball players are 3 inches taller than baseball players
C on average basketball players are 9 inches taller than baseball playerson average basketball players are 9 inches taller than baseball players
D on average basketball players are 4 inches taller than baseball players
D. on average basketball players are 4 inches taller than baseball players.
According to the data, the mean height of basketball players is 78 inches and the mean height of baseball players is 74 inches. So, the difference in height between basketball and baseball players is:
78 - 74 = 4
Therefore, the correct answer is D. on average basketball players are 4 inches taller than baseball players.
Each dot on the dot plot represents one household on the block. The numbers represent how many mobile devices are in the households. When comparing the data sets, which TWO statements are correct?
Responses
A The least number of devices in one household is 1.The least number of devices in one household is 1.
B The number of devices per household varies more on Block B.The number of devices per household varies more on Block B.
C The median number of devices for Block A and Block B is 5.The median number of devices for Block A and Block B is 5.
D The greatest number of devices in one household is 6.The greatest number of devices in one household is 6.
E Each block has 35 devices.
A. The least number of devices in one household is 1. and C. The median number of devices for Block A and Block B is 5.
Randy is starting a beehive so that he can have fresh honey. He decides to check the current population of bees in the hive by marking 160 bees. Later, Randy collects 240 bees and observes that 30 of them are marked. What is the BEST estimate for the bee population?
Responses
A 1,2801,280
B 1,3001,300
C 1,2001,200
D 1,240
B. 1,300.
The formula for estimating population based on a capture-mark-recapture method is:
(total population estimate) = (number marked in first capture) x (total number in second capture) / (number marked in second capture)
Using the numbers given in the problem, we can estimate the bee population as follows:
(estimated population) = (160) x (240) / (30) = 1,280
However, since this is an estimate, it's reasonable to round it up or down to the nearest 100. In this case, the closest value is 1,300, so the correct answer is B. 1,300.
The time it takes a brick layer to lay bricks varies directly with the number of bricks. The brick layer's data is shown in the table. If x = time, and y = the number of bricks, which equation models the brick layer's direct variation?
Responses
A y = 50xy = 50x
B y = 100xy = 100x
C y = 100 + xy = 100 + x
D y = 50 + x
B. y = 100x.
Since the problem states that the time it takes to lay bricks varies DIRECTLY with the number of bricks, we can write this statement as a proportion:
time / number of bricks = k
where k is the constant of proportionality. Solving for k:
k = time / number of bricks
Using any of the given data points, we can find the value of k:
15 = k(150)
k = 15/150 = 0.
Approximate the difference of the medians as a multiple of Carl's interquartile range.
Responses
A 19
1 9
B 13
1 3
C 33
D 16
1 6
E 23