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Julie has a juice stand where she sells apple juice, orange juice, and carrot juice. She sells her cups of juice in two sizes: large and small. Draw a tree diagram showing the sample space of possible juice orders.

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Julie has a juice stand where she sells apple juice, orange juice, and carrot juice. She sells her cups of juice in two sizes: large and small. Draw a tree diagram showing the sample space of possible juice orders.

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Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary. It can either be two-column or paragraph.

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Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary. It can either be two-column or paragraph.

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What is a method of revealing information about a character by showing the characters words and actions

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Answer:

A method of revealing information about a character by showing the characters’ words and actions is called Indirect characterization.

Explanation:

There are two kinds of characterization direct and indirect. When a writer uses direct characterization they describe the character to the readers adding the adjectives that can describe them in the narrative. Indirect characterization uses different elements like Speech, Thought, Effect on others, Actions and Looks.

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During the Industrial Revolution, artists began concerning themselves with: A. Depicting humans' inner life B. developing museum collections C. improving artistic standards D. showing the struggles of working people (apex)

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During the Industrial Revolution, artists began concerning themselves with: A. Depicting humans’ inner life B. developing museum collections C. improving artistic standards D. showing the struggles of working people (apex)

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Sixteen-year-old reynelda has known since she was 4 years old that she will become a teacher. her grandmother was a teacher, and her mother and two aunts are teachers. she's never really even thought about any other occupation. reynelda can best be described as showing:

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Sixteen-year-old reynelda has known since she was 4 years old that she will become a teacher. her grandmother was a teacher, and her mother and two aunts are teachers. she’s never really even thought about any other occupation. reynelda can best be described as showing:

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Which statement holds true for a skewed histogram showing a distribution of the weights of students in a class? The number of weights on the right side of the mode is equal to the number of weights on the left. The number of weights on the left side of the mean is equal to the number of weights on the right. The mean weight and the median weight will be the same for the distribution. The nature of the skew can be verified by the position of the mean with respect to the median. The nature of the skew can be verified by the position of the mean with respect to the mode.

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127=7 (mod n) means when 127 is divided by n, the division leaves a remainder of 7.

The statement is equivalent to
120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:
n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.
You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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Which would add the most emotional impact to a news story? A.map showing the location of a recent natural disaster. B.a statement from the mayor about a disasters financial cost. C.a timeline detailing a disaster’s main events. D.a video showing people stranded on the roof of their flooded home.

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Answer:

Henri Rousseau’s Portrait of a Woman

Explanation:

Magical Realism finds precedent in eighteenth-century Gothic novels, but also connects with sixteenth-century Baroque or Surrealism, almost contemporary in the early twentieth century.

Among the most striking features of this movement, we find the blend of realism with pure unreality that is observed as normal, with the integration of magical elements without seeming extraordinary.

These works do not explain the supernatural elements and are narrated as something natural, with characters unaware of their transcendent dimension. In addition, death has paramount value in the relativistic discourse of truth, with a metaphysical focus on space and time and an intimate atmosphere that blends characters with myths, legends, and natural cultures.

Henri Rousseau’s Portrait of a Woman is considered one of the first magical realistic stories.

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Plz answer with showing work. #19

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Which rhetorical appeal does Mark Antony use in the above excerpt? Mark Antony uses an appeal to ethos by first recalling the memory of Caesar’s military success and then showing his body stabbed by the conspirators. Mark Antony uses an appeal to pathos by first recalling the memory of Caesar’s military success and then showing his body stabbed by the conspirators. Mark Antony uses an appeal to logos by first recalling the memory of Caesar’s military success and then showing his body stabbed by the conspirators. Mark Antony uses an appeal to symbolism by first recalling the memory of Caesar’s military success and then showing his body stabbed by the conspirators.

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Hey there!

Correct answer is D. Comma or Period Inside Rule

A. Question mark or exclamation point inside: those are not really necessary.

B. Colon or semicolon: not, a semicolon would divide the whole sentence and it would be shorten; a colon would work but after requested, when there is already a comma.

C. Question mark or Exclamation Point Outside Rule: would not work, becase it is an very polite and affirmative sentence.

D: A comma or period inside rule: actually, just a comma would work. Please, Cooper’s dad requested, go… Cooper’s dad requested must be in between commas as it is a vocative.

Hope this helps

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The odds against a spinner showing an even number are 3:8. What is the probability of the spinner showing an even number?

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Answer:

Number of copy machines must be made to minimize the unit cost=160.

Step-by-step explanation:

We are given that the unit cost function C ( the cost in dollars to make each copy machine)

If machines are made =x

Then the unit cost function is given by

C(x)=0.8x^2-256x+25939

We have to find the number of copy machines for  minimize the unit  cost

C(x)=0.8x^2-256x+25939

Differentiate with respect to x

Then we get

frac{mathrm{d}C}{mathrm{d}x}=1.6x-256 ……(equation I)

To find the value of x then we susbtitute frac{mathrm{d}C}{mathrm{d}x} is equal to zero

frac{mathrm{d}C}{mathrm{d}x}=0

1.6x-256=0

1.6x=256

x=frac{256}{1.6}

By using division property of equality

x= 160

Again differentiate the equation I with respect to x then we get

frac{mathrm{d}^2 C}{mathrm{d}^2 x}=1.6 >0

Hence, the unit cost is minimize for x=160

Therefore, the number of copy machines must be made to minimize the unit cost =160

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The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle.. . . . Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle of radius 80 feet?. A) 125.6ft B) 502.4ft C) 83.73ft D) 62.8ft

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You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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The political cartoon shows a meeting of the Senate in the late 1800s: cartoon showing very large men that look like money bags overlooking the Senate. They have the word trust printed on their chest. Above them a sign reads: This is a Senate, of the monopolists, by the monopolists, for the monopolists. © Bridgeman Art Library/Image Quest 2012 What does the sign above the Senate represent? government’s movement to remove outside influences from law-making bodies senators’ confidence in their ability to represent the common citizen undemocratic policies and practices of the government citizens’ apathy toward involvement in government processes

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Here are the following effects of loose money and tight
money policies on the actions being listed.

A. A loose money policy
is usually implemented as an effort to encourage economic growth.
This can lead to inflation when uncontrolled. The effects are:

1. Borrowing becomes easy

2. Consumer buys more

3. Since more people are willing to buy,
businesses expand

4. Employment rate increases due to
expansion of businesses

5. Since more people are employed, thus
production also increases

 

B. A tight money policy is a course of action to restrict spending
in an economy that is growing too quickly or to hold back inflation when it is
rising too fast. This can lead to recession when uncontrolled. The
effects are:

1. Borrowing becomes difficult

2. Consumer buys less

3. Since people don’t have a lot of
money, business don’t expand

4. Unemployment rate increases due to businesses
slowing down

5. Production decreases

 

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Pictures and drawings give information by showing details of an object that is very small or very big. t or f

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There are two systems in the human body that are responsible for the coordination between the functions of different systems to achieve the unity of the living organism’s body. These two systems are the nervous system and the endocrine system. The action of the nervous system is fast and takes a short time, while the action of the endocrine system is slow and takes a long time.

The functional unit of the nervous system is the nerve cell or the neuron. The neuron consists of a cell body and the axon. The cell body starts with the dendrites that receive the messages or the impulses from other neurons or from different sense organs or receptors. These impulses are then transmitted through the cell body. The cell body contains a nucleus and different organelles which help the nerve cell to perform its functions. The nerve impulse is then transmitted to the axon.

The axon is an extension from the cell body. There are some cells called Schwan cells that secrete a myelin sheath to insulate the axon from the surrounding medium. The insulated axons have more ability to conduct the impulses than non-insulated axons. The axon ends with the terminal arborizations. The terminal arborizations of a nerve cell connect to the dendrites of the next cell or to the afferent organ. The gaps between the dendrites and the terminal arborizations are called the synapses.

The nerve impulse is an electrochemical phenomenon i.e. an electrical phenomenon with a chemical nature. The membrane of the axon acts as a barrier between an outside positively charged medium and an inside negatively charged medium. This makes a potential difference of  -70mV. This state is called the resting potential. When the membrane is subjected to a stimulus, the positive charges enter to inside and the negative charges exit to the outside. The potential difference now becomes +40mV. This state is called the depolarization state. The point of stimulation acts as a new stimulus for the next point and so on. The membrane sooner gains its permeability again and the positive charges return to the outside and the negative charges to inside. This state is called repolarization.

The nerve impulse reaches the synapse. There are some neurotransmitters that are excited by the nerve impulse coming and carry the message across the membrane. Some receptors receive theses neurotransmitters on the dendrites of the next neuron. These receptors act as a stimulus for the new cell.

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Which of the following sources might contain research that would support the assertion? “The uniform jerseys will serve as inexpensive advertising.” an interview with a sponsor from last year a brochure from the uniform shop that explains pricing a newspaper article a brochure from a local advertising shop, showing prices for other similar advertising projects all of the above

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Here are a few pointers; hope this is useful)

Ovation-by definition- is show of appreciation from an audience, for a person’s accomplishments or flaw.

“Everyone deserves a standing ovation because we all overcometh the world.”

A person’s accomplishment could be how they made a positive change in this world, strong leadership- that makes them a effective leader or simply helping others. A person’s flaw- mistakes in life, sin or even guilt should also be considered an appreciation- an ovation for representing mankind’s flaw and that humanity makes mistakes, fulfilling at least one deadly sin such as greed, lust, selfishness etc.

Thus, regardless of a person’s achievement or flaw- a person deserves an applause for, not the least, living in this society and this world that we are all living together and dying together.

That was just the introduction.. the best part is yet to come.. now it’s your turn!!

Here are other pointers to talk about in your essay:

Shakespeare’s famous line “All the World’s a stage. That agrees with your line: “Everybody deserves a standing ovation…”

Shakespeare explains that men and women are like players: they live, and die, some being celebrated and some forever living in solitude till their death. Shakespeare states the world is a “stage” which symbolizes that mankind is in its peak. The world is changing everyday: little by little and humanity is falling behind.
Due to our world turning into machinery: factories, an automotive future: where humans only job to live (entrance) and to die (exit) the famous humans remembered and the flawed not recalled.

This is according to Shakespeare’s imagery.

I don’t know what grade your in, but I think simplifying Shakespeare’s word of mouth in your essay would be handy and useful as it has strong references of your quote, and agrees strongly in your essay.

Hope this helps 🙂

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__________ who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code. A. Male siblings B. Adopted siblings C. Identical twins D. Fraternal twins Please select the best answer from the choices provided A B C D Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in __________ in small group settings. A. consensus democracy B. obedience and punishment C. law and order D. ethical behaviors Please select the best answer from the choices provided A B C D Which of the following is a method of scaffolding? A. explaining the correct way of doing something without errors B. correcting the mistakes of a learner without explaining why C. telling a learner that they have made a mistake D. showing a learner how to correct common mistakes Please select the best answer from the choices provided A B C D

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1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.  

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.  

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Dante wants a cupcake, so he shoves tom aside. tom reacts by bopping dante over the head. tom is showing _____ aggression. reactive proactive indifferent relational

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Dante wants a cupcake, so he shoves tom aside. tom reacts by bopping dante over the head. tom is showing _____ aggression. reactive proactive indifferent relational

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Zach is working in a human sexuality research lab and is looking at data showing the sexual response cycle of the participants. participant a has a sexual response cycle with one orgasm and a clear refractory period. participant b has a sexual response cycle with repeated plateaus but no orgasm. participant c has a sexual response cycle with multiple orgasms but no refractory period. based on the research of masters and johnson, what are the most likely sexes of these participants?

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The correct answer is “it includes commentary on several rights issues, including slavery and women’s suffrage.”

The statement that best describes “How ain’t a Woman” is “it includes commentary on several rights issues, including slavery and women’s suffrage.”

Isabella Baumfree was an African American woman that was born in 1797. She changed her name to Sojourner Truth in 1843. Her tenacity on the civil rights for women made her a supporter of human rights followed by many African Americans. She was also famous for her speech delivered in 1851 in the Women’s Rights Convention, in Akron, Ohio. The title of the speech is “How ain’t a Woman.” In the speech, she includes commentary on several rights issues, including slavery and women’s suffrage.

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A plan or series of plans showing the placement of each lighting instrument- its type, wattage, size, wiring, dimmer connection and color is called a

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The shorter axis located near the east end of the church is called transept. It is part of any building which is transverse that lies across the main body of the edifice. In churches, it is a location set crosswise to the nave in a cruciform or as called cross shaped building inside the Romanesque and Gothic Christian church architectural traditions. Each partial of a transept is recognized as semi transept and transept divides the nave from the sanctuary, apse, choir, chevet, chanel which cross the nave at the crossing that belongs equally to the main nave axis and to the transept. 

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It is customary for a country to enter into a trade agreement with only one other country thus showing respect and loyalty to the agreement true or false

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The correct answer is – B) False.

The Mayans were everything but persecuted and culturally isolated civilization, nor they were impoverished. This civilization thrived in Mesoamerica, and it was the greatest and most advanced civilization in the New World during its existence.

The cultural isolation can be easily debunked as the Mayan culture was based on the earlier Olmec culture, and also the civilizations that were contemporary of the Mayans adopted this from them, as well as the later civilizations in the region, like the Aztecs, that had lot of cultural influence from them.

The Maya had nice prosperous empire, with magnificent buildings, and development in multiple scientific fields. They were ruling over some other people, but they were not terrible rulers, so they were respected and the empire was unified.

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Which option is an example of pathos A) a graph showing the number of children who don’t get enough food B) an interview with a doctor discussing the affects of childhood hunger C) a picture of a group of small children who look sad, scared, and hungry D) a list of facts, such as the proper amount of food children need

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ContentsContextKey Historical FiguresSummarySummary and AnalysisPreambleList of Abuses and UsurpationsPast Actions of ColonistsConclusion and Definition of a New GovernmentStudy QuestionsThe Declaration of Independence -Suggestions for Further ReadingHow to Cite This SparkNote

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The Declaration of Independence, written by Thomas Jefferson and adopted by the Second Continental Congress, states the reasons the British colonies of North America sought independence in July of 1776.

The declaration opens with a preamble describing the document’s necessity in explaining why the colonies have overthrown their ruler and chosen to take their place as a separate nation in the world.

All men are created equal and there are certain unalienable rights that governments should never violate. These rights include the right to life, liberty and the pursuit of happiness. When a government fails to protect those rights, it is not only the right, but also the duty of the people to overthrow that government. In its place, the people should establish a government that is designed to protect those rights. Governments are rarely overthrown, and should not be overthrown for trivial reasons. In this case, a long history of abuses has led the colonists to overthrow a tyrannical government.

The King of Great Britain, George III, is guilty of 27 specific abuses. The King interfered with the colonists’ right to self-government and for a fair judicial system. Acting with Parliament, the King also instituted legislation that affected the colonies without their consent. This legislation levied taxes on the colonists. It also required them to quarter British soldiers, removed their right to trial by jury, and prevented them from trading freely. Additionally, the King and Parliament are guilty of outright destruction of American life and property by their refusal to protect the colonies’ borders, their confiscation of American ships at sea, and their intent to hire foreign mercenaries to fight against the colonists.

The colonial governments tried to reach a peaceful reconciliation of these differences with Great Britain, but were continually ignored. Colonists who appealed to British citizens were similarly ignored, despite their shared common heritage and their just cause. After many peaceful attempts, the colonists have no choice but to declare independence from Great Britain.

The new nation will be called the United States of America and will have no further connections with Great Britain. The new government will reserve the right to levy war, make peace, make alliances with foreign nations, conduct trade, and do anything else that nations do.

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Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps

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Answer:

It is better to bet on 7.

Step-by-step explanation:

It is given that,

We are rolling two 6-sided numbered cubes and placing bets on the ‘sum of the outcome’.

So, the pair of numbers will be the possible options for the outcome to be their sum.

Now, the possibility to have the sum of 3, 4, 7 and 11 are:

3 = 1+2 i.e. only one pair is the possibility

4 = 1+3 = 2+2 i.e there are two pairs as the possibility

7 =  1+6 = 2+5 = 3+4 i.e. there are three possible pairs

11 = 5+6 i.e. only one pair is the possibility

So, the maximum possibility of a sum to be the outcome is when the sum = 7 i.e. there are 3 possible pairs for the sum to be 7.

Hence, 7 has the highest possibility to become the outcome.

So, It is better to bet on 7.

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Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps

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Answer:

It is better to bet on 7.

Step-by-step explanation:

It is given that,

We are rolling two 6-sided numbered cubes and placing bets on the ‘sum of the outcome’.

So, the pair of numbers will be the possible options for the outcome to be their sum.

Now, the possibility to have the sum of 3, 4, 7 and 11 are:

3 = 1+2 i.e. only one pair is the possibility

4 = 1+3 = 2+2 i.e there are two pairs as the possibility

7 =  1+6 = 2+5 = 3+4 i.e. there are three possible pairs

11 = 5+6 i.e. only one pair is the possibility

So, the maximum possibility of a sum to be the outcome is when the sum = 7 i.e. there are 3 possible pairs for the sum to be 7.

Hence, 7 has the highest possibility to become the outcome.

So, It is better to bet on 7.

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What is one way to appeal to ethos? A. by asserting that there is no other way to look at the issue. B. by showing you are knowledgeable about an issue. C by showing the emotional aspect of an issue and evoking pitty. D. by quoting your friends who support your point of view.

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For this, I’ll just say you chose “word watcher”. I think I read maybe the first few chapters in this book last year. This book was actually quite confusing to me. I guess it was just the names that threw me off. Here is a sample off what you can say:

There are many details from this story that are worthy to share in a literary discussion. For this story, I chose word watcher as my character role. Using my role, I would discuss the different names and their meanings for a literary discussion. In the story, the author used different names. For example, the main character’s name was “moon shadow lee”. My reading role greatly helped me better understand the story. Rather than skimming through the book, I was able to slow down and recognize the different words and names the author uses. For example, the main characters father, “wind rider” was a kit maker. “wind rider” was a good name for him, because it really described, what he does and aspires to do. 

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Check your local paper for listings of movies. Pick one movie that you would like to go see. In Spanish you will then need to give the title of the movie, what theater the movie is playing in, the time of the showing and what you will eat or drink while at the movie using the future tense.

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Answers:

3. Which option best completes the following sentence?

The Andes Mountains were formed by the Nazca and South American plates.  

4. Llaima is an active volcano in Chile that people can climb and ski.

5. Which of the following are not represented in Dr. Atl´s paintings?

aerial views of Mexico

6. Which of the following professions is not strongly associated with las artes?

Abogado (lawyer) is the only profession that is not associated with arts. The other professions: The artist, the writer and the painter, are strongly associated with arts.

7. Which word best completes the following sentence?

Algún día iremos a Ecuador.

The correct form is iremos, which is the future tense of the verb ir in plural (subject:nosotros)

Someday we will go to Ecuador

8. Which word best completes the following sentence?

What you earn from a job is your salary or salario in spanish

9. Which word best completes the following sentence?

Yo seguiré una carrera en derecho.

Here the correct form of the verb seguir  is seguiré, in future tense

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Rob determined that some teenagers like to eat hot dogs, some like to eat hamburgers, and others don’t like to eat hotdogs or hamburgers. He calculated the probabilities and created the Venn diagram below: a venn diagram showing two categories, Hot dogs and Hamburgers. In the hot dogs only circle is 0.3, in the hamburger only circle is 0.4, in the intersection is 0.1, outside the circles is 0.2 What is the probability that a teenager eats hotdogs, given that he/she eats hamburger?

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Answer:

0.25

Step-by-step explanation:

We are given that Rob created the Venn Diagram shown below which gives us,

The probability of teenagers who like to eat hot dogs = P(HD) = 0.3

The probability of teenagers who like to eat hamburger = P(HB) 0.4

The probability of teenagers who like to eat both = P( HD ∩ HB ) =0.1

The probability of teenagers who like to eat none = 0.2

It is required to find the probability that a teenager eats hot dogs when it is given that he/she eats hamburger i.e. P( HD | HB ).

Now, we know that the probability that an event B occurs given that event A has already occurred is given by,

P(B|A) = frac{P(A bigcap B)}{P(B)}

So, P(HD|HB) = frac{P(HD bigcap HB)}{P(HB)}

i.e. P(HD|HB) = frac{0.1}{0.4}

i.e. P(HD|HB) = 0.25

Hence, the probability that a teenager eats hot dogs when it is given that he/she eats hamburger is 0.25.

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