Mariana runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes. Graphically solve a system of equations in order to determine the number of pounds of bananas sold, x, and the number of pounds of grapes sold, y.

Answers

Answer 1

Answer:

jackson sold 27 pounds of bananas and 12 pounds of grapes :D

Step-by-step explanation:

Answer 2

Taking into account the definition of a system of linear equations, the number of pounds of bananas and grapes sold are 36 and 16 respectively.

System of linear equations

A set of two or more first-degree equations with two or more connected unknowns is referred to as a system of linear equations.

Finding the value of each unknown in order to satisfy all of the system's equations constitutes the process of solving an system of equations. To put it another way, it is necessary to find the values of the unknowns, as they must be replaced with values that, when used to solve the equations, is the process of solving a system of equations

This case

In this case, a system of linear equations must be proposed taking into account that:

"x" is the number of pounds of bananas sold."y" is the number of pounds of grapes sold.

You know:

Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes.

The system of equations to be solved is

x +y= 52

x + 2.25y= 72

There are several methods to solve a system of equations, it is decided to solve it using the graphical method. The system's equations are graphically represented by graphs in the graphical method. The solution of the system is the point of intersection between the graphs, since the coordinates of said point satisfy both equations.

Graphically, it can be seen that the intersection point is (36; 16). That is, the value of x is 36 and the value of y is 16.

Finally, the number of pounds of bananas sold are 36 and the number of pounds of grapes sold are 16.

Learn more about system of equations:

brainly.com/question/14323743

#SPJ3

Mariana Runs A Farm Stand That Sells Bananas And Grapes. Each Pound Of Bananas Sells For $1 And Each

Related Questions

x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is

Answers

The Standard form of the equation of circle is (x+21)² + (y+19)² = 849

What is Standard form of circle?

To transform general form to a standard form, you can use completing the square method or you can convert this equation

x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

Here, Given: x² + y² + 42x + 38y − 47 = 0

Required: Find the values of h, k, and r using this formula

x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

On comparing we get,

-2h = 42

  h = 21

-2k = 38

 k = 19

-47 = h² + k² - r²

-47 = 21² + 19² - r²

   r² = 849

  r = √849

Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849

Learn more about Circle from:

https://brainly.com/question/11833983

#SPJ1

Write the equation of the line in slope intercept form Slope=-4 Point=(2,-4)

Answers

Answer:

y=2x-8

or

f(x)=2x-8

Step-by-step explanation:

To write in slope-intercept form using this information, first use the point slope formula.

y-y1=m(x-x1)

m is slope.

y+4=2(x-2)

Use distributive property on the right side.

y+4=2x-4

Now, subtract 4 from both sides.

y+4-4=2x-4-4

y=2x-8

Written using function notation:

f(x)=2x-8

Hope this helps!

If not, I am sorry.

Y=2x-8 would be your answer

5 kilograms of coffee are going to be shared equally among 44 people.
About how many kilograms of coffee does each person get?
Choose 1 answer:


(Choice A)
A
Between 0 and 1 kilograms

(Choice B)
B
Between 1 and 2 kilograms

(Choice C)
C
Between 2 and 3 kilograms

(Choice D)
D
Between 3 and 4 kilograms

Answers

Answer:

A

Step-by-step explanation:

5/44=0.11kg

Answer:

I think A

Step-by-step explanation:

I think A would be the answer.

Have a nice day !

Please help me answer question 6/11

Answers

The value of a₄₁ mean the expression in 4th row and 1st column will be 2. Then the correct option is B.

The complete question is attached below.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

[tex]\begin{bmatrix} 1&3&8&5&\\ 5&4&6&2\\6&7&1&8\\2&9&3&7&\\\end{bmatrix}[/tex]

Then the value of a₄₁ mean the expression in 4th row and 1st column will be 2.

Then the correct option is B.

More about the matrix link is given below.

https://brainly.com/question/9967572

#SPJ1

help mee please anyone

Answers

Answer:

1.A - B

1.B - D

1.C - [unsure]

Step-by-step explanation:

A basketball team scored a total of 97 points in a basketball game. They made a total of 42 two-point and three-point baskets. How many two-point baskets did they make? How many three-point baskets did they make? Let x= the number of two-point baskets Let y= the number of three-point baskets Equation for total number of baskets _____________________

Answers

Therefore the number of two point baskets = 29 and three point baskets = 13.

What is the system of equations?

A set of equation that have a common factor that satisfies them

It is given in the question that

x = the two point baskets

y = the three point baskets

A basketball team scored a total of 97 points in a basketball game

2x +3 y = 97  

They made a total of 42 two-point and three-point baskets.

x +y = 42

y = 42- x

2x + 3(42-x) = 97

On solving we get x = 29

Two point baskets = 29

and y = 13

Three point baskets = 13

Therefore the solution of the given system of equations are two point baskets = 29 and three point baskets = 13.

To know more about  system of equations

https://brainly.com/question/12895249

#SPJ1

Estimate the value of
0.581 -0.246

Answers

0.335 this should be the answer

The value of expression is,

⇒ 0.335

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ 0.581 - 0.246

Now,

Since, The expression is,

⇒ 0.581 - 0.246

After subtraction we get;

⇒ 0.581 - 0.246

⇒ 0.335

Learn more about the subtraction visit;

brainly.com/question/17301989

#SPJ2

Which value must be added to the expression x2 16x to make it a perfect-square trinomial?

Answers

Answer:

16

Step-by-step explanation:

x^2+16x+16

(x+4)(x+4)

x^2+ 4x+4x+16

Answer:

The answer is C.) 64 on edge.

Monomal by a Dinormal
What is the product of x(x + 1)?
O 2x+x
0x2+2x
022 +1
O x² + x


will give brainliest

Answers

Answer:

a

Step-by-step explanation:

.....................

Part A
? Question
Enter the correct answer in the box.
Recall that the width is x + 15, and the length is 49 less than 2 times the width. Write a simplified expression for the
length of the garage in terms of x.
(101 0² +

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. A simplified expression for the length of the garage in terms of x is 2x-19.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the width is x + 15, and the length is 49 less than 2 times the width. Therefore,  a simplified expression for the length of the garage in terms of x is,

Length = 2(x+15) - 49 = 2x + 30 - 49 = 2x-19

Hence,  a simplified expression for the length of the garage in terms of x is 2x-19.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps. Two times Johan’s collection is eleven less than five times John’s collection, and three times Jonathan’s collection is three less than seven times John’s collection.

Answers

The number of postage stamps in John’s collection is 27.

We have given that,

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps.

What is an elimination method?

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Johan and Jonathan have the same number of stamps.

Let x be the Johan and Jonathan postal stamps.

Let y be the John postal stamps.

Two times Johan’s collection is eleven less than five times John’s collection.

2x = 5y - 11............(1)

Three times Jonathan’s collection is three less than seven times John’s collection.

3x = 7y - 3............(2)

Multiply equation 1 with 3

3(2x = 5y - 11)

⇒ 6x = 15y - 33.........(3)

Multiply equation 2 with 2

2(3x = 7y - 3)

⇒ 6x = 14y - 6.............(4)

Subtract equation 4 from equation 3

⇒ 6x - 6x = 15y - 33 - (14y - 6)

⇒ 0 = y - 27

y = 27

Hence, the number of postage stamps in John’s collection is 27.

Find more information about the elimination method here

brainly.com/question/13877817

#SPJ1

Solve using the factoring method: x2 + 4x - 21 = 0

Answers

Answer:

x² + 4x - 21 = 0

x² + 7x - 3x - 21 = 0

x ( x + 7 ) -3 ( x + 7 ) = 0

( x - 3 ) ( x + 7 ) = 0

∴ x - 3 = 0              or              x + 7 = 0

  x = 0 + 3                               x = 0 - 7

  x = 3                                      x = -7

square root of x plus 8 end root minus 6 equals x

Answers

Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

For more explanation, refer the following link:

https://brainly.com/question/10572241

#SPJ10

What is the simplified form of this expression? (3 − 13x − 7x2) − (5x2 12x − 10)

Answers

Answer:

-12x²-25x+13

Step-by-step explanation:

First open parenthesis.

(3 − 13x − 7x²) − (5x² + 12x − 10)

3 − 13x − 7x² − 5x² - 12x + 10

Now combine like terms.

3 − 13x − 7x² − 5x² - 12x + 10=13-25x-12x²

Now put into standard form, exponents greatest to least.

-12x²-25x+13

Hope this helps!

If not, I am sorry.

Answer:-12x²-25x+13

Step-by-step explanation:

Refer to the attached image​

Answers

Answer:     [tex]\boldsymbol{2(x-2)(5x+7)}[/tex]

========================================================

Work Shown:

[tex](4x^2-16)+3(2x-4)(x+1)\\\\4(x^2-4)+3*2(x-2)(x+1)\\\\4(x-2)(x+2)+3*2(x-2)(x+1) \ \text{ ... difference of squares rule}\\\\2*2(x-2)(x+2)+3*2(x-2)(x+1)\\\\2(x-2)(2(x+2)+3(x+1))\\\\2(x-2)(2x+4+3x+3)\\\\\boldsymbol{2(x-2)(5x+7)}\\\\[/tex]

The answer has been confirmed with WolframAlpha which is basically a calculator app, but does a ton more than any average calculator.

The CAS (computer algebra system) in the app GeoGebra is another tool I use all the time.

Yet another way to confirm the answer is to graph the original expression and the answer as separate functions. You should find they produce the exact same curve. One curve perfectly overlaps the other. This visually verifies the two expressions are the same thing, just written a different way of course.

Let me know if you have any questions about any step. The basic idea I did was to pull out the GCF and then combine like terms.

Ahman has a lawn care business. he charges $25 per lawn to mow the grass. if his monthly expenses are $100, how many lawns must he mow in order to make a profit of at least $250 per month?

Answers

Answer:

14

Step-by-step explanation:

you can write an equation to represent the situation:

let x represent the number of lawns he has to mow

then, the monthly profit would be 25x - 100.

in order to make $250, this equation has to be equal to 250:

[tex]25x-100=250[/tex]

now, solve this:

add 100 to both sides

[tex]25x = 350[/tex]

divide both sides by 25

[tex]x = 14[/tex]

he must mow 14 lawns

two identified lines are graphed below how many solutions are there to the system of equations?

Answers

There can be more than one solution to system of equations.

PLEASE HELP ME WITH THIS

Answers

Answer:

Vertex

Vertex are the end points of parabola where it opens up

locus are the group of points

latus rectum is the line parallel to it .

ILL GIVE 5-STAR RATING, A THANKS, 20 PTS AND BRAINLIEST TO FIRST RIGHT ANSWER!!!

Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?

Quadrilateral CDEF is inscribed in circle A. Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are _________________. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.

central angles; equal to the measure of their intercepted arcs

inscribed angles; equal to the measure of their intercepted arcs

central angles; one half the measure of their intercepted arcs

inscribed angles; one half the measure of their intercepted arcs

Answers

The missing statements with regard to the mathematical proof are:

"inscribed angles; one half the measure of their intercepted arcs" (Option D); and inscribed angles; equal to the measure of their intercepted arcs (Option B).

What are intercepted arcs?

It is to be noted that an intercepted arc is the arc that sits inside the inscribed angle. See the attached image.

Thus, it is correct to state that

The missing statements with regard to the mathematical proof are:

"inscribed angles; one half the measure of their intercepted arcs" (Option D); and inscribed angles; equal to the measure of their intercepted arcs (Option B).

Learn more about mathematical proof at:
https://brainly.com/question/25927269
#SPJ1

Find the variance of the given
data rounded to the nearest
hundredth.
3, 4, 5, 7, 10, 12, 15
Σ (x - mean)²
n


=
=
[?]
Enter

Answers

Answer:

 17.14

Step-by-step explanation:

You have the data values {3, 4, 5, 7, 10, 12, 15}

To find the mean, [tex]\frac{3+4+5+7+10+12+15}{7} =8[/tex], yay a whole number, my favorite.

Then, [tex](3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2=120[/tex].

Since n=7, σ^2≈[tex]17.14[/tex]

Which of the following is a secant on the circle below?
A. SU
B. RT
C. SU
D. UT​

Answers

The secant of circle is SU and RT.

What is Secant of the Circle?

A straight line that intersects a circle in two points is called a secant line.

From the given diagram,

The line which intersects the circle at two points or an extended chord is SU and RT.

Hence, secant is SU and RT.

Learn more about secant here:

https://brainly.com/question/23026602

#SPJ1

How do I graph the inequality?

Answers

Answer:

Graph it the same as = but if the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.

What is the square root of -1

Answers

Answer:

Step-by-step explanation:

Negative numbers don't have real square roots since a square is either positive or 0. so it doesn't exist

Answer:

i

Step-by-step explanation:

the square root of  negative one is not real.

It is classed as an imaginary number denoted by  i , that is

[tex]\sqrt{-1}[/tex] = i

PLS I REALLY NEED HELP I NEED TO PASS THIS ASAP

Answers

The volume of the cylinder is 1692.46dm³.

How to calculate the volume?

It should be noted that the volume of a cylinder is calculated as:

= πr²h

r = radius = 7dm

h = height = 11dm

Volume = πr²h

Volume = 3.14 × 7² × 11

Volume = 3.14 × 49 × 11

Volume = 1692.46dm³

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

What is 5,435,778 expressed in scientific notation? A. 5.435778 x 10 B. 5.435778 x 10 C. 5.435778 x 10 D. 5.435778 x 10

Answers

Answer:

The answer options seem to be missing their exponents for the 10 unit.

Answer is:  5.435778 x [tex]10^{6}[/tex]

Step-by-step explanation:

5,435,778

Move the decimal point to the left until it is between the 5 and 4.  Scientific notation means rewriting the number with only one digit to the left of the decimal point and adding the "x [tex]10^{x}[/tex] after to account for the number of positions the decimal point was moved.  

Count the number of places required for the move.

5,435,778     0

543577.8      1

54357.78      2

5435.778      3

543.5778      4

54.35778      5

5.435778      6

Each move reduces the number by a factor of 10.  This means that the final move to make the number 5.435778 required dividing the original number by 10 a total of 6 times.  By multiplying this last number by 10 a total of 6 times, we obtain the original number.  

We could write this as:    (5.435778)*(10)*(10)*(10)*(10)*(10)*(10)

but that defeats the purpose of scientific notation, which is to simplify the number so that it is 1) easier to read, 2) saves printers paper and ink, and 3) reduces transcription errors.

So scientific notation is the process of writing this as:

5.435778 x [tex]10^{6}[/tex]

You spent 14 of your allowance on Monday. On Tuesday, you spent 13 of what was left. On Wednesday, you spent 12 of what remains. What fraction of your allowance do you have left? Choose the most reasonable answer.

PLEASE HELP ME WITH THIS

Answers

a = allowance
(1/2)a = what have left after Monday
(1/2(1/2)a = what you have after Tuesday
(1/2)(1/2)(1/2)a = what you have after Wednesday.

Doing the multiplication.

(1/8)a = what you have left.

You have 1/8 of what you had at the start.

Brian invests £6600 into his bank
account.
He receives 0.6% per year compound
interest.
How much will Brian have after 6 years?
Give your answer to the nearest penny
where appropriate.
O
→ £ 1

Answers

Answer:

See Below

Step-by-step explanation:

The equation for this scenario would be  ( compounded annually)

6600 ( 1 + .006)^6         = £ 6841.19

Answer:

Brian will have £6841.19 after 6 years.

Step-by-step explanation:

The compound interest formula is:

[tex]A = P( 1 +\frac{r}{100} )^{n}[/tex] ,

where A is the final amount, P is the initial (principal) amount invested (£6600), r is the interest rate (0.6%) and n is the number of years the money is kept for (6 years).

Using the formula:


[tex]A = 6600(1 + \frac{0.6}{100} )^{6}\\\\A = 6841.19[/tex]

Step 3: So, M 12= 60 Degrees
Use the drop-down menus to explain whether or not Stuart is corrrect.

Answers

The reasoning that may be used for finding the measure of m∠12, is the

same side interior angles theorem.

The correct options using the drop-down menu are;

The sum of ∠1, ∠7, and ∠8 is 180°

∠8 and ∠12 are the same side interior angles

The measure of ∠12 must be = 120°

Stuart is not correct

The complete question is given below:-

In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.​

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given parameters;

Line x ║ line y

m∠1 = 65°, m∠7 = 55°

m∠12 = 60°

Stuart states ∠12 = 60°

The reasoning is presented as follows;

Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°

Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles

Step 3: So, m∠12 = 60°

Using the drop-down menu, we have;

The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)

∠8 and ∠12 are same side interior angles (by definition)

Same side interior angles are supplementary, therefore;

∠8 +∠12 = 180°

∠12 = 180°  - ∠8

Which gives;

The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°

The measure of ∠12 must be = 120°

Stuart is not correct

To know more about an angle follow

https://brainly.com/question/25770607

#SPJ1

Which is a sum of cubes?

a3 + 18
a6 + 9
a9 + 16
a12 + 8

Answers

Answer:

a^12+8

Step-by-step explanation:

let's check all the expressions

1. a^3+18

here 18 is not a perfect cube.

2. a^6+9

here 9 is not a perfect cube.

3. a^9+16

here 16 is not a perfect cube.

4. a^16+8

here 8 is a perfect cube, thus we can write above expression by using laws of exponents as

(a^4)^3+2^3

Thus,  is a sum of cubes.

a^12+8

40 POINTS PLS HELP PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS /J IM LAZY NO PLS HELP

Answers

Answer:

y = -0.5x - 3.5

Explanation:

Take two points: (1, -4), (3, -5)

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{-5-(-4)}{3-1} = -\dfrac{1}{2}[/tex]

Equation:

[tex]\sf y- y_1 = m (x - x_1)[/tex]

[tex]\rightarrow \sf y- (-4) = -\dfrac{1}{2} (x -1)[/tex]

[tex]\rightarrow \sf y+ 4 = -\dfrac{1}{2} x + \dfrac{1}{2}[/tex]

[tex]\rightarrow \sf y = -\dfrac{1}{2} x + \dfrac{1}{2} - 4[/tex]

[tex]\rightarrow \sf y = -0.5 x -3.5[/tex]

The formula of a line is:

[tex]f(x) = kx + b[/tex]

k — stands for tg of line angle
b — stands for the y value of a point where the line crosses y axis.


We can see 2 points:
A (1, -4)
B (3, -5)

We can make a system of equations:

[tex]k*1+b=-4\\k*3+b=-5\\[/tex]

From second equation:

[tex]b = -5 - 3k[/tex]

Let's put b in first equation:

[tex]k-5-3k=-4\\-2k=1\\k=- \frac{1}{2}[/tex]

Now we can find b:

[tex]b = -5 -3*- \frac{1}{2}\\b = -5 + 1.5\\b = -3.5[/tex]

The answer is:
-0.5x -3.5

Other Questions
In the 1800s, violent, anti-Chinese riots took placein Chinatowns in several cities.in Chinatowns in rural areas.at railroadcamps in the West.at factories and mills in the East The wave equation says that a wave's speed is equal to its wavelength times its _________________. Do you feel Reconstruction was successful? Why or why not? according to civil war . please explain with historical evidence Find the area of a circle with radius, r = 7.15m.Give your answer rounded to 2 DP. 1. A client taking newly prescribed gabapentin for persistent neuropathic pain reports dizziness. What is the best nursing response Norman plants a garden eachyear. This year, his gardenproduced 40% fewer tomatoesthan it did last year. If Normansgarden produced 30 tomatoesthis year, how many tomatoesdid his garden produce last year? The amendments in the Bill of Rights are organized by. what is the value of the fourth term in a geometric sequence for which a1=10 and r =0.5 San Francisco was a focus for Asian American reformers in the 1960s because it waswhere many Asian immigrants opposed reform efforts.where many Asian immigrants had entered the United States.a location of Japanese American internment during World War II.where the Chinese Exclusion Act had been signed. Which set of equations has 3, 1 as its solution 80 pupils in a sports centre are surveyed. the pupils can only use the swimming pool and the gym. 32 pupils use the swimming pool. 43 pupils use the gym. 19 pupils use neither the swimming pool nor the gym. find the probability to select a pupil that uses the swimming pool but not the gym. Really confused about this one anyone mind to help 100 points What certificates does the common access card or personal identity verification card contain. the internet is controlled by ______ the pressure in a water pipe in the ground floor of a building is 410 Pa and three floors up is 210. What is the difference in height between the ground floor and the third floor? Density of water=110 kgm- Q1I prefer English language_______ mathematicsA thanB toC forD on which of these was not a key difference between northern and southern states at the constututional convention? wanting to protect states I need to use factorial the! When you use the binomial probability formula and I need to show step-by-step for for a through cGiven the number of trials and the probability of success, determine the probability indicated: (Hint use binomial distribution formula use factorials ! in showing your work)n = 15, p = 0.4, find P(4 successes) n = 12, p = 0.2, find P(2 success ) n = 20, p = 0.05, find P(at most 3 successes) (hint for c. P (at most 3 successes) = P(x 3)= P(x= 0) + P(x = 1)+ P(x = 2)+ P(x = 3) 1. Read the cartoon and answer the questions bellow. a. Indentify how many times you can see the 'verb to be: b. Find an interrogative sentence with verb to be: c. Translate the words wondering' and 'understand: e. They f. She AM ALWAYS NONDERING IFI REALLY AM very angry. a teacher. at home. from Brazil. a b C 2. Complete the sentences with the forms of to be in the present simple (am, is, are). a. We in the shopping mall. b. The dog inside the house. . d. You IT IS HARD TO NDERSTAND SIZE heavy, light, big, small, little, tiny, tall, short, fat, thin, skeletal, giant, 3. Choose three sentences from the last exercise and put in the negative and interroga Use the examples to help you. Example: Affirmative: She is beautiful. / Negative: She is not beautiful. / Interrogative: Is she GNIT SHE HAPPY SHAPE round, square, straight, triangular, oval, sleek, blobby, flat, elliptical, www. 4. Describing animals. In the boxes below you will find many adjectives you can use to describe the differ Can you also come up with suggestions of your own for describing the many a COLOUR pink, red, orange, black, yellowish, blue, dark, green, purple, white, S quick, speedin bustlin 1. Read the cartoon and answer the questions bellow . a . Indentify how many times you can see the ' verb to be : b . Find an interrogative sentence with verb to be : c . Translate the words wondering ' and ' understand : e . They f . She AM ALWAYS NONDERING IFI REALLY AM very angry . a teacher . at home . from Brazil . a b C 2. Complete the sentences with the forms of to be in the present simple ( am , is , are ) . a . We in the shopping mall . b . The dog inside the house . . d . You IT IS HARD TO NDERSTAND SIZE heavy , light , big , small , little , tiny , tall , short , fat , thin , skeletal , giant , 3. Choose three sentences from the last exercise and put in the negative and interroga Use the examples to help you . Example : Affirmative : She is beautiful . / Negative : She is not beautiful . / Interrogative : Is she GNIT SHE HAPPY SHAPE round , square , straight , triangular , oval , sleek , blobby , flat , elliptical , www . 4. Describing animals . In the boxes below you will find many adjectives you can use to describe the differ Can you also come up with suggestions of your own for describing the many a COLOUR pink , red , orange , black , yellowish , blue , dark , green , purple , white , S quick , speedin bustlin In the nation of Hamsterville most goods, services, and resources are allocated in markets. However, some goods are provided by the government, such as healthcare and education.What kind of economic system does Hamsterville have