Here is a list of Numbers:

8 7 12 7 11 10 7 12

Find:
a) median
b) range
c) mode

Answers

Answer 1

The median, mode and range of the numbers are 9, 5 and 7 respectively.

How to find median, range and mode?

The median is the middle number when the data is arranged in ascending order.

Therefore,

7, 7, 7, 8, 10, 11, 12, 12

median = 8 + 10 / 2 = 18 / 2 = 9

median = 9

The range is the largest number minus the smallest number.

Therefore,

range = 12 - 7 = 5

range = 5

The mode is the number that appears most. Therefore,

mode = 7

learn more on median, range and mode here: https://brainly.com/question/24015195

#SPJ1


Related Questions

Find the value of x.
8:5 = 1/x:1

Answers

Answer:x=61

Step-by-step explanation

 

856−5x3{131}=2

8(x−9)+5(5−18)+1(15−6x)=2

8x−72−65+15−6x=2

2x=122

x=61

sorry if i'm wrong

Find pi using circumference of 78.5 and the radius is 5. Explain how you found pi.

Answers

Answer:

Pi is normally 3.14 but in this case it is 15.7

Step-by-step explanation:

78.5 divided by 5 = 15.7

5 x 3.14 = 15.7

In figure MNL, the value of x is:

Answers

Answer:

x=6

Step-by-step explanation:

Those are scalene triangles, if 9 is the base, then the other two sides will be congruent, so x=6.

A student graphs the functions f(x) = | x+3 | and g(x) = x2-2x+3 on the coordinate plane shown.

Which are the solutions of f(x) =g(x)?

A. -3 and 1

B. -1 and 1

C. 0 and 3

D. 3 and 6

Answers

The solutions are the intersection point of both graphs

The left side graph is y=|x+3|The right side top graph is x²-2x+3(Parabola)

So there mUST be two solutions

The intersections are

(0,3)(3,6)

The x values are solution

They are 0,3

Option C

Answer:

C. 0 and 3

Step-by-step explanation:

The solutions of f(x) = g(x) are the values of the x-coordinates of the points where the two graphed functions intersect.

From inspection of the graph, the points of intersection are:

(0, 3)(3, 6)

Therefore, the solutions are 0 and 3 (since they are the x-values).

Proof

[tex]\implies f(x) = g(x)[/tex]

[tex]\implies |x + 3| = x^2-2x+3[/tex]

We only need to take the positive form of |x+3| since we can see from the graph that g(x) intersects f(x) when |x+3| is positive:

[tex]\implies x + 3 = x^2-2x+3[/tex]

[tex]\implies x^2-3x=0[/tex]

[tex]\implies x(x-3)=0[/tex]

[tex]\implies x=0, 3[/tex]

Thus confirming that the solutions are when x = 0 and 3

Need some help, thanks in advance!

Answers

Answer: = 3 acres per day

Showing Work

This is a fraction equal to

3 acres ÷ 1 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

3 acres ÷ 1

__________

1 days ÷ 1

=

3 acres

_____

1 day

=

3 acres

______

day

= 3 acres per day

Can someone help me to solve this question? Prove that the quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1)is a trapezium.Find the area of trapezium ABCD. Also Can you tell how to find the height of trapezium with vertices without knowing the area? Thank you.

Answers

If the height of the trapezium is 7 units. Then the area of the trapezium will be 31.5 square units.

What is a trapezium?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1).

The lines AB and CD are parallel to the y-axis. Then the quadrilateral ABCD is a trapezium.

The height of the trapezium will be 7 units.

The area of the trapezium will be

Area = 1/2 (2 + 7) x 7

Area = 0.5 x 9 x 7

Area = 31.5 square units.

More about the trapezium link is given below.

https://brainly.com/question/22607187

#SPJ1

Given circle O lies perfectly within square ABCD. If side BC = 6.84, then what is the area of the orange region?

Answers

What we get to know by looking at picture :

There are two figures: 1. square 2. circle inside it touching all square's wall.

As O is center of circle (given) ∴ OP is radius of circle

As the sides are of square , therefore AB = BC = DC = AD

[tex] \\ \\\\ [/tex]

To find :

Area of orange region

[tex] \\ \\ \\ [/tex]

Given:

O is the center of the circle.ABCD is squareLength of BC is equal to 6.84.

[tex] \\ \\ \\ [/tex]

Concept:

So as we can orange doesn't lies inside circle. And the wall of circle touches all four sides of circle. So first we have to find area of circle and then Area of square. And then we will subtract the ares. The result will be Area of orange part.

[tex] \\\\ \\ [/tex]

Solution:

[tex] \\ \\\\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of circle: }}}[/tex]

[tex] \\ [/tex]

To find area of circle we need radius of it i.e Length of OP.

As BC = AB

∴AB = 6.84

As O is the center of square ∴it's center of circle too

Therefore:

AB = 2 OP

6.84 = 2 OP

OP = 6.84/2

OP = 684/2 × 10

OP = 342/10

OP = 3.42

[tex] \\\\ [/tex]

Now Let's find area :

[tex] \\\\ [/tex]

[tex] \star \boxed{ \rm Area~of~circle = \pi {r}^{2} }[/tex]

here :

r is the radius of circle.

[tex] \\ [/tex]

[tex]: \implies\sf Area~of~circle = \pi {r}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times11.7\\\\\\: \implies\sf Area~of~circle = \dfrac{257.4}{7} \\ \\ \\ : \implies \boxed{ \orange{\tt{ Area~of~circle = 36.6 \{approx \}}}} \bf \dag[/tex]

[tex] \\ \\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of square: }}}[/tex]

[tex] \\\\ [/tex]

[tex] \star \boxed{ \rm Area~of~square = {side}^{2} }[/tex]

[tex] \\ \\ [/tex]

[tex]: \implies\sf Area~of~square = {side}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84} \times 6.84 \\ \\ \\ : \implies \boxed{\tt{ \orange{Area~of~square = 46.8 \{aprox \}}}}\bf\dag[/tex]

[tex] \\ \\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of orange \: part: }}}[/tex]

[tex] \\ [/tex]

[tex] \star\sf \boxed{ \rm Area_{(orange \: part)} = Area_{(square)} - Area_{(circle)}}[/tex]

[tex] \\ \\ [/tex]

[tex]: \implies\sf Area_{(orange \: part)} = 46.8 - 36.6 \\ \\ \\ : \implies \boxed{ \blue{\tt{Area_{(orange \: part)} = 10.2}}}\bf\dag[/tex]


3. The FFA had a fundraiser by selling hot dogs for $1.50 and drinks for $2.00. Their total sales were $400.
a) Write an equation to calculate the total of $400 based on the hot dog and drink sales.
b) Graph the relationship between hot dog sales.

Answers

The equation that represents the total of $400 based on the hot dog and drink sales is $400= $1.50H + $2.00D

Using equation for expressions

The amount sold for each hot dog = $1.50

The total number of hot dogs sold = H × $1.50

The amount sold for each drink = $2.00

The total number of drinks sold = D× $2.00

The total sales made was = $400

Therefore the equation that represents the total of $400 based on the hot dog and drink sales is;

$400= $1.50H + $2.00D

The relationship that exists between the hot dog sales is that the cost is the drinks is higher than the cost of the hot dog.

Learn more about total cost here:

https://brainly.com/question/25109150

#SPJ1

HELP HELP HELP PLEASE PLEASE

Answers

Answer:

Fourth one

Step-by-step explanation:

You can find the x coordinate of the vertex (which is the axis of symmetry)

  by calculating    x =    - b/ 2a  

 ( when equation is arranged into   y =   a x^2 + bx + c    form  )

     first one   - -2/4  = 1/2

     second one   -2/ -4  = 1/2

        third one  - -2 / 4    = 1/2

          fourth one   - 2 / 4   = - 1/2   BINGO !

     

find the selling price of a $36 item after a 50% markup

Answers

Answer:

$54

Step-by-step explanation:

36 divided by 2= 18

$36+$18=$54


Part B: Your cell phone and tablet use the same account. The cell phone costs $0.10 for
each minute of use and the tablet costs $0.15 for every minute of use. Each month, you
want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
Now, create a system of inequalities using the above information (use x and y as the
variables).

please help me ill mark you brainliest

Answers

The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.c

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

Let's suppose the total minutes for cell phone is x

and total minutes for tablet is y

Then total minutes will be:

x + y < 5000 (less than 5,000 minutes on both of the devices)

And total cost:

0.10x + 0.15y ≤ $450

Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Yes, I do agree with Tyler because the data displayed shows that the answer is always higher with 5x^2

No he is wrong

If he is referring to table only then correct else wrong

Always 2^x can't have less intercept.

After some while it will cross 5(x)².

You can observe it from graphs

I WILL GIVE BRAINLIEST! Draw the line of reflection that reflects ABC onto ABC prime

Answers

Answer:

put the line on y= -2

Step-by-step explanation:

The figure ABC is reflected along the line y = -2 and the new coordinated will be A(-2, -4), B (3, 0), and C (-2, -7).

What is reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The coordinates of the figure of ABC is given as A(-2, 0), C(-2, 3), and B(3, -4),

The new coordinates of A'B'C' are A(-2, -4), B(3, 0), and C(-2, -7),

If the given figure is reflected as y = -x,

Then, the coordination will change like (-y, -x),

Thus, the new coordinates of ABC will be A(-2, -4), B (3, 0), and C (-2, -7).

To know more about reflection:

https://brainly.com/question/17333802

#SPJ2

find the zeros for 3x2-8=-2x

Answers

Answer:

Here is the answer ..hope it helps:)

What fraction is equivalent to the decimal number 0.90?(theres a line above the 0.90)

A. 10 over 11

B. 9 over 10

C 1 over 9

D 1 over 90

Answers

Answer:

B

Step-by-step explanation:

The number is in the tenths spot so you do 0.90 times 10 which gives you 9/10.

B. 9 over 10

rewrite decimal to fraction

0.90/1

multiply by 10 to remove decimal

0.90/1 x 10/10

0.90 = 9/10


What is the slope of the line shown below?

Answers

1/6

Step-by-step explanation:

Answer:

B. 6

Step-by-step explanation:

(y1 - y2) ÷ (x1 - x2)

(6 - 3) ÷ (12 - (-6))

3 ÷ 18 = 6

hope this helps

have a good day

It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he room than Nikki takes if she works alone. When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation: Which value is a solution of the rational equation that must be discarded because of the context

Answers

Using the together rate, it is found that the value that must be discarded is given by x = -9.

What is the together rate?

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Together: [tex]\frac{1}{40}[/tex].Nikki's: [tex]\frac{1}{x}[/tex].Greg's: [tex]\frac{1}{x + 18}[/tex].

Hence:

[tex]\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}[/tex]

[tex]\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}[/tex]

[tex]x^2 + 18x = 80x + 720[/tex]

[tex]x^2 - 72x - 720 = 0[/tex]

Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:

[tex]\Delta = (-72)^2 - 4(1)(-720) = 8064[/tex]

[tex]x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9[/tex]

[tex]x_2 = \frac{72 - \sqrt{8064}}{2} = -9[/tex]

They cannot have a negative rate, hence the value that must be discarded is given by x = -9.

More can be learned about the together rate at https://brainly.com/question/25159431

#SPJ1

Answer:

X = -10

Step-by-step explanation:

PLATO

Does anybody understand this? Been struggling with it for awhile. Use the rectangle to find the measure of the following angles. BAC=25

Answers

Answer:

  ∠CBA =90°; ∠CAD =65°; ∠ACD =25°; ∠CBD = 65°

  ∠BWA = 130°; ∠AWD = 50°

Step-by-step explanation:

The diagonals of a rectangle divide the figure into two pairs of congruent isosceles triangles. The figure is symmetrical about both the vertical and horizontal centerlines. Each corner angle of the rectangle is 90°. Of course, the sum of angles in any of the triangles is 180°.

__

The above descriptions tell you ...

  ∠ABD =∠ACD =∠BAC =∠BDC = 25°

  ∠CBA =∠BCD =∠CDA =∠DAB = 90°

  ∠CAD =∠CBD =∠ACB =∠ADB = 90° -25° = 65°

  ∠BWA =∠CWD = 180° -25° -25° = 130°

  ∠AWD = ∠BWC = 180° -65° -65° = 50°

5. M's class is having a give-away
here 3 of her lucky students will
ceive 500 classroom credits. She
ll pull names out of a hat and select
winners. Once a student wins, they
e not eligible to win again. There
e 75 total students in the class,
cluding you and your 2 best friends.

Answers

The probability that both I and my best friend get the 100 classroom credits is 0.06%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Since Mr Q's class is having a give-away where his students can receive 100 classroom credits, he will pull names out of a hat and select two winners, and once a student wins, they are not eligible to win a second time, if there are 40 total people in the class, including me and my best friend, to determine what is the probability that both I and my best friend get the 100 classroom credits, the following calculation must be performed:

I = 1/40 = 0.025

my best friend = 1/39 = 0.02564

0.02564 x 0.025 = X

0.0006410 = X

X x 100 = 0.064

Therefore, the probability that both I and my best friends get the 100 classroom credits is 0.06%.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ1

A triangle has sides with lengths of 17 feet, 31 feet, and 36 feet. Is it a right triangle?
yes
no

Answers

no!
the triangle inequality theorem states that any two sides of a triangle added should be smaller than the biggest side, 17 + 31 > 36

What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
ft
B
29
27 ft
C

Answers

Answer:

  23.6 ft

Step-by-step explanation:

In the right triangle, an acute angle, the hypotenuse, and an adjacent side are marked. We went to know the length of the adjacent side. The trig relation involved is ...

  Cos = Adjacent/Hypotenuse

__

Filling in the given information, this relation tells us ...

  cos(29°) = x/(27 ft)

Solving for x, we get ...

  x = (27 ft)cos(29°) ≈ 23.614 ft

The value of x is about 23.6 ft.

Please awnser my other question

Answers

Answer:

S = (-6, -1)

T = (-7, 4)

U = (-6, 9)

V = (-4, 4)

PLEASE HELP
The volume of a right rectangular prism can be found by using the product 6(4)(18). Which expression could also be used to determine the volume of this prism?
6 + 4 + 18
2(6 + 4 + 18)
32(18)
4(6)(18)

Answers

Answer:

The last one is 4(6)(18).

Please give Brainliest

Answer:

4(6)(18)

Step-by-step explanation:

the last option is your right answer

help with practice problem

Answers

Answer:

i think the answer is r=0.5 or r=−3/2−x^2

Step-by-step explanation:

-4r^2-4r=6

step 1. -4r(-4r)= 16r

16r-4r=6

step 2. 16r-4r=12r

12r=6      

step 3. /12 on both sides

r= 0.5

Q5. the population of an island has decreased by 40% over 50 years.
the population in 2018 was 360
what was the population in 1968?

Answers

Answer:

The population was 600 in 1968

Step-by-step explanation:

The population of an island decreased by 40% over 50 years, so the population in 1968 will be equal to 600.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided by the question,

The current population in 2018 = is 360

which is 40% less than the population in 1968.

So, 60% of the total population will be equal to 360.
Let the total population is x.

60% × x = 360

x = (360 × 100)/60

x = 600

Therefore, the population at that time was 600.

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

I have 25% off coupon. The items in my cart come to a total of $178.99. What will be my bill after my discount?

Answers

It would be around $134.24

If the coordinates of point Q are (−12,√32), then what is the value of tan(m) ?

Answers

Vector components are expressed in the form (x, y). The measure of tan m given the coordinate Q is -√32/12

Direction of a vector

Vector components are expressed in the form (x, y). Given the  coordinates of point Q are (−12,√32), the measure of the angle is expressed as;

m = arctan(y/x)

m = arctan (-√32/12)

Take the tan of both sides

tan m = tan arctan(-√32/12)

tan m = -√32/12

Hence the measure of tan m given the coordinate Q is -√32/12

Learn more on trig function here; https://brainly.com/question/1143565

#SPJ1

Taking successive discounts of 15% off and then 25% off is the same as taking a one time discount of 40%. true or false

Answers

Answer:

False

Step-by-step explanation

Let's take the example starting number as 100

15% off of 100 gives us 85.

25% off of 85 is 63.45

40% off of 100 would be 60.

Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.
take a screenshot and insert them into your student companion.
1. circle a, with a diameter of
6 cm.
2. circle c, with a radius that is
equal to circle a's diameter.
3. circle b, with a radius of 5
cm.
4. circle d, with a diameter
that is equal to circle b's
radius.

Answers

Answer:

9

Step-by-step explanation:

Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.

take a screenshot and insert them into your student companion.

1. circle a, with a diameter of

6 cm.

2. circle c, with a radius that is

equal to circle a's diameter.

3. circle b, with a radius of 5

cm.

4. circle d, with a diameter

that is equal to circle b's

radius.

About 2% of the students at a college with a population of 9,000 students have significant vision impairments. A polling organization took a random sample of 800 of these students. is the 10% conditon met?
Yes, 10(800) = 8,000, which is less than the total population
Yes, 10% of 800 = 80, which is less than the total population
No, 10(9,000) = 90,000, which is more than the sample
No, 10% of 9000 = 900, which is more than the sample

Answers

Answer:

total population: 9,000

10% of 9,000= 900 students

they only surveyed 800 students so Yes the 10(800)=8,000 which is less then 9,000 or Option A

Other Questions
Which is an example of stratified random sampling created from each given population? A. Deciding who should be the president of the senior class by tossing a coin to choose between two candidates. B. C. Surveying members of a political party by calling people listed in the telephone directory whose last names begin with the letter A. D. Surveying subscribers to a magazine by separating the list of subscribers into four age groups and choosing a sample from each group proportional to its size in the population. QUICK ANSWER PLEASE!!If M(1; -1) is the midpoint of the line segment AB, where A(-4;y)and B(x; -5), calculate the value of x and y. effect of human rights violations on the government hhhhhhhhhhhhhhhhhhhhhhhhhhhh What is the term for the general flattening of land (usually with a small defined slope), in order to place a structure on it What is foreign policy and why is it important? Choose the verb that best completes the sentence.1. Nosotros no ______ venir a la fiesta maana.A. podemosB. cuestan C. duermoD. recuerdasE. llueve Write a story that ends."This is why our friendship broke up" 7.03 Join the Resistance!Now that you have learned about the cotton gin, Underground Railroad, and important individuals inthe anti-slavery movement, answer the following three questions. Please remember that each questionmust be a paragraph of 4-6 sentences in length. You want to mention specific events, people, andterms from the lesson to support your thoughts.1. How did the invention of the cotton gin affect slavery in the United States?Insert paragraph of 4-6 sentences here2. What was the Underground Railroad? Your response needs to include and explain the termsconductor, lines, station, and freight.Insert paragraph of 4-6 sentences here3. How did William Lloyd Garrison, Reverend Lovejoy, and Frederick Douglass participate in theabolitionist movement? (HINT- make sure to discuss each individually)Insert paragraph of 4-6 sentences here Find the area of a rectangle with a length of 3 feet and a width of 2 7/8 feet solutia ecuatiei 4x+12= 0 este x = There are 34 students and five teachers going on a trip if each ticket costs $9.50 how much money do they need to raise Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent: A nickel has a diameter of 21.21 millimeters. What is the area of the face of a nickel? Use 3.14 for . Round to the nearest hundredth if necessary. what attracts businesses to florida?? There are 6 swimmers in a race. In how many ways can they finish in first and second place?-12-30-120-360 What information can a scientist learn directly from a single fossil?OA. How the organism is related to organisms on Earth todayB. How many offspring the organismproducedC. What the organism looked likeD. How long the organism livedSUSAAMINEKORT THING SPIRING HARUPFOUNDlevePROTEILE SEmais rondSARDEsang big Match the following. 1 . Conclusion A statement formed by combining two statements with the word and. 2 . Contrapositive A statement formed by interchanging the hypothesis and the conclusion in a conditional statement. 3 . Converse The process of making a conclusion about a specific statement by supporting with general rules and principles. 4 . Deductive reasoning The then clause in a conditional statement. 5 . Disjunction A statement formed from two statements by connecting them in the form if ______ , then ______ . 6 . Conjunction A statement formed by combining two statements with the word or. 7 . Conditional A statement formed by exchanging the hypothesis and conclusion and negating both of them. Question 16.67 ptsWhat is a government?Group of answer choicesA. A small group of people that exercise executive authority in an effort to improve the lives of the citizens within a state or communityB. An institution by which public policies are implemented.C. A system to protect peoples inalienable rights to life, liberty, property, and the pursuit of happinessD. An extensive group of states or countries under a single supreme authorityFlag question: Question 2Question 26.67 ptsOne of the government models embraced by the politically inventive Greek city-states was the tyranny. A tyranny was a government run by a single ruler who didn't have constitutional authority to rule. It wasn't something evil or bad, it was just a different way of running the government.---Excerpt from Study.comWhich theory on the origin of the state does this excerpt best support?Group of answer choicesA. divine right theoryB. evolutionary theoryC. force theoryD. social contract theoryFlag question: Question 3Question 36.67 ptsA small group of people rule in the country of Fakelandia. Which kind of government do they most likely have?Group of answer choicesA. parliamentaryB. unitaryC. oligarchyD. confederationFlag question: Question 4Question 46.67 ptsA government in which one person is in control is known as ____.Group of answer choicesA. autocracyB. oligarchyC. unitaryD. direct democracyFlag question: Question 5Question 56.67 ptsPower divided between local and central branches of government is a definition of what term?Group of answer choicesA. Legislative oversightB. Checks and balancesC. BicameralismD. FederalismFlag question: Question 6Question 66.67 ptsA government in which sovereign states come together on certain issues best describes which form of government.Group of answer choicesA. confederalB. unitaryC. parliamentaryD. indirect democracyFlag question: Question 7Question 76.67 ptsRights that naturally belong to people.Group of answer choicesA. consent of the governedB. natural rightsC. Bill of RightsD. rights of the commonFlag question: Question 8Question 86.67 ptsThe idea that no person is above the law.Group of answer choicesA. rule of lawB. representative governmentC. separation of powersD. consent of the governedFlag question: Question 9Question 96.66 ptsCountrytopia is a small island country. Every six years they hold elections for representatives to serve in their legislature. The legislature then chooses the Minister that leads the country. Local governments exist purely by the will of the legislature and only help carry out functions not practical for the national government to do.Which of the following governments structures can be found in Countrytopia. (choose 3)Group of answer choicesA. parliamentaryB. presidentialC. unitaryD. confederalE. direct democracyF. representative democracyFlag question: Question 10Question 106.67 ptsWhich philosopher first wrote about the idea of a social contract theory under the power of an absolute ruler?Group of answer choicesA. Charles MontesquieuB. John LockeC. Thomas HobbesD. Jean Jacques RousseauFlag question: Question 11Question 116.67 ptsWhich nation provided the foundation for the concept of limited government that is embodied in the U.S. Constitution?Group of answer choicesA. EnglandB. FranceC. GreeceD. SpainFlag question: Question 12Question 126.66 ptsThe phrase in the Declaration of Independence stating "that governments are instituted among Men, deriving their just powers from the consent of the governed" illustrates the principle ofGroup of answer choicesA. federalism.B. judicial review.C. equality before the law.D. the Social Contract theory.Flag question: Question 13Question 136.66 ptsThe Articles of Confederation represented the Americans' distrust ofGroup of answer choicesA. the British.B. states rights.C. any governing authority.D. a strong central government.Flag question: Question 14Question 146.66 ptsThe first government of the United States was theGroup of answer choicesA. Constitution.B. Mayflower Compact.C. Articles of Confederation.D. Declaration of Independence.Flag question: Question 15Question 156.66 ptsHow did Shays' Rebellion contribute to the writing of the Constitution?Group of answer choicesA. It proved the Constitution was working, but needed the Bill of Rights added.B. It proved the Bill of Rights was needed, which then secured ratification of the Constitution.C. The people rioted and protested until the Constitution was written.D. It proved the Articles of Confederation were too weak and a stronger government was needed. What is the solution to the system of equations? x-2y = 19x + 3y = 14(1.-17) (17.-1)(-17, 1)(-1.17)