you want to arrange digits 0 to 9 such that 1 and 2 always have 2 digits between them

Answers

Answer 1

We want to arrange digits 0 to 9 such that 1 and 2 always have 2 digits between them (we want to find the number of different combinations to do this).

There are 564,480 ways of arranging the digits 0 to 9 in such a way that there is always 2 digits between 1 and 2.

Now let's see how to get the number of combinations.

We have 10 numbers to order, so we have 10 places to put these numbers.

_ _ _ _ _ _ _ _ _ _

Let's start by assuming that the first number is the 1

1 _ _ _ _ _ _ _ _ _

Because 1 and 2 must have 2 digits between them, we put the 2 in the third place

1 _ _ 2 _ _ _ _ _ _

Now in the other 8 places we can put any of the other 8 numbers in any order, The number of combinations is just given by:

8! = 8*7*6*5*4*3*2*1 = 40,320

Now we also need to take in account the permutations of the 1 and the 2.

First, these two can permute (so the 2 goes first and then the 1) so there is a factor 2.

Also, we fixed the first one at the first position, but it could be in the second, third, fourth, fifth, sixth or seventh position, so there is also a factor 7.

Then the total number of combinations is given by:

2*7*40,320 = 564,480

This means that there are 564,480 ways of arranging the digits 0 to 9 in such a way that there is always 2 digits between 1 and 2.

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Related Questions

a local company makes a candy that is supposed to weigh 1.00 ounces. a random sample of 25 pieces of candy produces a mean of .996 ounces with a standard deviation of .004 ounces. how many pieces of candy must we sample if we want to be 99 percent confident that the sample mean is within .001 ounces of the true mean?

Answers

Using the sample size and critical value relation, the sample size required to obtain a sample mean which is 0.001 ounces of the true mean with a 99% confidence is 107 samples

The sample size relation :

[tex]n = (\frac{Z_{α/2}σ}{margin \: of \: error})^{2}[/tex]

n = sample size = 25

Using a calculator ; [tex]Z_{α/2} = 2.58 [/tex]

The margin of error = [tex] 0.001 [/tex]

Substitute the values into the equation :

[tex]n = {\frac{2.58 \times 0.004}{0.001}}^2 = 10.32^{2} = 106.50 [/tex]

Therefore, the Number of candy pieces that must be sampled is 107.

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you are approaching an intersection on a multiple-lane road, and you want to change lanes;

Answers

EXPLANATION

Em, if that's the case I have to turn my vehicle according to the path I'm going. However, I must first see if there are other vehicles so that there is no collision.

#LearnWithEXO

First of all destination must be known and then according to the destination I will turn my vehicle to the correct path that takes me to my destination.

A losing party in a federal trial court can appeal to one of 94 lower courts. appeal to a higher federal court. ask for a retrial in the same court. ask for a different judge in the same court.

Answers

Answer:

B.) A losing party can or has the right appeal to a higher federal court.

Explanation:

It's correct because edg2020

A losing party has the right appeal to a higher federal court. This is

common during election period in various countries.

What is Election?

Election is the process in which the citizens vote for their preferred

candidates in various positions. Elections can have some irregularities which

is usually contested by the losing party to ensure justice is served.

They can do that by appealing the outcome of the result to a higher federal

court such as the Supreme court. Proper investigations are then carried out

and a stance is taken on whether to uphold or void the result.

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Read the scenario, then answer the question that follows. A group of students challenge a state policy that allows school officials to review and reject articles for school newspapers. The students claim that this policy violates the First Amendment of the Constitution. This amendment protects freedom of the press. A federal district court agrees to hear the case, but then rules against the students. The students decide to appeal. Where does this case go next? the federal court of appeals the US Supreme Court the state supreme court the state district court

Answers

According to the case where a group of students challenge a state policy which they claim violates the First Amendment of the Constitution f free speech, however they lose the case.

The best place to appeal the case is the federal court of appeals

As a result of the ruling of the federal district court, the next place the students would take the case to is the federal court of appeal. This wouild be in the better position to determine if the First Amendment rights were violated.

As a result of this, the best lace the make an appeal

Therefore, the correct answer is option A

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Answer: Option A- The Federal Court of Appeals, from the person above.

Explanation:

This is if you want a quick answer.

alicia has just heard a positive, uplifting song about women achieving their goals. she is now in a good mood. as she is walking to class, she overhears two women talking and only makes out the word 'dye'. what is she likely to think they are discussing?

Answers

Interpreting the phrase 'DYE' based on Alicia's mood, hence assigning it a non-negative meaning. Therefore, she is more likely to think they are having a discussion about coloration of their hair.

The phrase 'DYE' is which Alicia was able to make out of the conversation will be interpreted based on her mood.

Since she is in a good mood, she would most likely give it a neutral or positive meaning. Hence, the thought that they are referring to hair color or other objects relating to color.

When in a bad or negative mood, the phrase could be interpreted as the passing away of someone or something. Hence, spelt as 'DIE'

Therefore, Alicia would most likely think they are discussing about hair color.

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The length of pregnancies are normally distributed with a mean of 208 days and a standard deviation of 15 days a. Find the probability of a pregnancy lasting 308 days or longer, b. ll the length of pregnancy is in the lowest 3%, then the baby is
premature. Find the length that separates premature babies from those who are not premature.


a. The probability that a pregnancy wit last 308 days or longer is II
(Round to four decimal places as needed)

Answers

The required probability values using the normal distribution concept are :

P(X ≥ 308) = 0

Length seperating premature babies = 179.785 days.

Given the Parameters :

Mean, μ = 208Standard deviation, σ = 15

Recall : Zscore = [(X - μ) ÷ σ]

The probability of a pregnancy lasting 308 days or longer :

Zscore = (308 - 208) ÷ 15 = 6.667

P(Z ≥ 6.667) = 1 - P(Z ≤ 6.667)

Using a normal distribution table

P(Z ≤ 6.667) = 1

P(Z ≥ 6.667) = 1 - 1 = 0

The lowest 3% :

The Zscore corresponding to the lower 3% using the normal distribution table is :

P(Z < 0.03) ; Zscore = - 1.881

Calculate the value of X

Zscore = [(X - μ) ÷ σ]

-1.881 = (X - 208) / 15

-28.215 = X - 208

X = - 28.215 + 208

X = 179.785 days

Therefore, length of premature babies are less than or equal to 179.785 days (≤ 179.785 days)

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the function below takes one parameter: a list of strings (string_list). complete the function so that it prints out each string on a separate line.

Answers

The required program which prints each letter of a string on a Seperate line written in python 3 is as follows :

def strings(string_list):

#initialize a function named strings which takes in one parameter.

for i in sl :

#the for loop iterates through each letter in the parameter passed into the function

print(i)

#display each letter of the string.

The function can be called using the example below and the output ia also attached.

strings(cup)

Hence, the program.

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A scientist finds a piece of rock in a crater. He analyzes the rock and realizes that the composition is mostly of iron and nickel. He claims that he found a meteor. What is most likely the scientist’s error? He actually found a meteorite. His analysis of the composition is not correct. He incorrectly used the term ""crater."" He actually found a meteoroid.

Answers

Answer:

A. He actually found a meteorite.

Explanation:

Edge 2021

Answer:

He actually found a meteorite

Explanation:

Good luck

what results when divergence occurs between two oceanic plates

Answers

The results when divergence occurs between two oceanic plates is seafloor spreading

Seafloor spreading or Seafloor spread is a process that occurs at mid-ocean ridges, where new oceanic crust is formed through volcanic activity and then gradually moves away from the ridge.

yinka shonibare is not interested in constructions of race or identity in his work.

Answers

Yinka Shonibare is an artist interested in the construction of identity and race and projects these themes in his works (False).

Yinka Shonibare (1962) is a prominent English artist of Nigerian parents based in England. He stands out for being an artist who integrates social themes such as:

Cultural identityColonialismPostcolonialismGlobalizationRace

His works are mainly sculpture, photography, and painting.

One of his most famous works is the one in which he made life-size headless human statues dressed in Ankara cloth. In this work, he makes a critique of colonialism and European and American imperialism that wants to take advantage of the resources of the African continent.

Note: This question is incomplete because the options are missing. Here are the options:

TrueFalse

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calculate the frequency in hertz of electromagnetic radiation that has a wavelength of 720.0 nm. (c = 3.00 x 10⁸ m/s)

Answers

Considering the definition of wavelenght, frecuency and propagation speed,  the frequency of the electromagnetic radiation that has a wavelength of 720.0 nm is 4.167×10¹⁴ Hz.

In a periodic wave the wavelength (λ) is the physical distance between two points from which the wave repeats itself. It is expressed in units of length (m).

The frequency (f) is a measure of the number of cycles or repetitions of the wave per unit of time. Its unit is s⁻¹ or hertz (Hz).

The propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave's disturbance propagates along its displacement. Relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:

v = f×λ

In this case, you know:

v=c= 3×10⁸ m/sf= ?λ= 720 nm= 720×10⁻⁹ m

Replacing in the definition of propagation speed:

3×10⁸ m/s= f × 720×10⁻⁹ m

Solving:

3×10⁸ m/s÷ 720×10⁻⁹ m= f

4.167×10¹⁴ Hz= f

Finally, the frequency of the electromagnetic radiation that has a wavelength of 720.0 nm is 4.167×10¹⁴ Hz.

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A local manufacturing plant reports a spill that released pollutant A into the local watershed. Pollutant A is a toxic substance. Local officials must determine if the residents should be evacuated from the area. Initial groundwater samples show pollutant levels at 5 mg/kg of water. Which decision is supported by the empirical evidence provided by the dose-response curve? Evacuation is not needed; continue groundwater monitoring. Residents should be evacuated until levels decrease. The spill no longer needs to be monitored. Residents should only evacuate above LD50.

Answers

The best decision that is supported by the empirical evidence provided by the dose-response curve is that residents should be evacuated until levels decrease.

The dose–response relationship is also called the exposure–response relationship. It shows the extent to which response (reaction) of an organism  can be (reach), as a part of exposure to a stimulus or stressor in a given amount of time (exposure time). Dose–response relationships can be shown with the aid of dose–response curvesFrom the dose–response curve, we can see that the death rate is increasing, has reach the maximum peak and as such it is better to evacuate the residence from that contaminated place.

Conclusively, we can say that the best decision that is supported by the empirical evidence provided by the dose-response curve is that residents should be evacuated until levels decrease.

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When the doctor examines 9-month-old Ben, he realizes that Ben’s left testis has not moved into its proper position in the scrotum. He recommends a surgical procedure to move the undescended testis into its proper position. Which procedure is the doctor referring to?

Answers

Answer:

Orchiopexy

Explanation:

PLATO

Answer: Orchiopexy

Explanation: If a boy's undescended testicles are palpable, or able to be felt by a doctor, a pediatric urologic surgeon may perform a surgical procedure called an orchiopexy to reposition them. An orchiopexy is an outpatient procedure that takes place in the hospital and requires general anesthesia.

when the required amount of one solution has been added to the second solution to complete the reaction

Answers

Answer:

equivalence point :)

Explanation:

A scientist finds a piece of rock in a crater. He analyzes the rock and realizes that the composition is mostly of iron and nickel. He claims that he found a meteor. What is most likely the scientist’s error? He actually found a meteorite. His analysis of the composition is not correct. He incorrectly used the term ""crater."" He actually found a meteoroid.

Answers

Answer:

he actually found a meteorite .

Explanation:

once a meteor reaches the earth's gravitational force it becomes a meteorite

Answer:

The answer would be A im an EDGE student

Explanation: Please give 3 stars :D

A graph shows the Total Public Debt of the U S Government from 1993 to 2013 with Year on the x-axis and Total public debt in trillions of U S dollars on the y-axis, from 0 to 20 in increments of 5. The debt stays constant from 1993 to 2001 and then steadily increases. The graph shows the federal debt between 1993 and 2013. What trend about the federal debt does the graph reveal? It is increasing. It has leveled off. It is decreasing. It has not changed.

Answers

Answer:

it is increasing so the first answer is correct

Explanation:

:)

trend about the federal debt does the graph reveal  is increasing. Thus option A is correct.

What are the features of graph ?

A graph is represented as pictorial form  the of data or numeric values in an organized manner which enables user to represent large amount of data in visual form.

There are 2 types of questions and the features of graphs are interpretation of given graphs or selecting a graph based on a verbal description.

The bar graphs are the most common type of graph, other graphs are dot plots, histograms, line graphs and scatterplots.

A Bar Graph is represented as the graphical display of data using rectangular bars of different parameters like heights, The structure can be represented  in the y axis contains values, and the x axis contains categories or time periods.  

A dot plot is a simple graphical representation  which shows the frequency with which items appears in a data set and present data on the x axis.

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which of the following best illustrates ecological succession

Answers

There’s no picture? We can’t answer it. ☹️

Why do lunar and solar eclipses not happen every month? Eclipses only occur during full and new moons. Earth rotates around its axis faster than the moon. The moon and Earth only travel through the penumbras. The tilt of the moon’s axis does not allow for monthly alignment.

Answers

The lunar and solar eclipses do not happen every month because the tilt of the moon’s axis does not allow for monthly alignment. It is for that reason we cannot observe a lunar/solar eclipse every month.

A solar eclipse occurs when the Moon moves between Earth and the Sun.

Moreover, a lunar eclipse happens when Earth moves between the Sun and the Moon, thereby partially or totally shadowing the Moon.

The Moon's orbit the Earth lies in a plane tilted by 5.15° with regard to the plane that Earth's orbit about the Sun.

If the Earth and Moon orbit on exactly the same plane around the Sun, then we could observe both a lunar eclipse and solar eclipse every month.

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Answer:

D

Explanation:

to simplify what the guy on top said

Which of the following is NOT an aspect of a family with a strong foundation? A. similar interests B. mutual respect C. commitment to one another D. effective communication Please select the best answer from the choices provided. A B C D

Answers

Answer:

A

Explanation:

similar interests

Similar interests are not an aspect of a family with a strong foundation. So, the correct option is A.

What are the aspects of the family?

The components of a family might vary depending on various cultures and customs, but some elements that are typical and support a strong family are as follows:

1. Love and emotional support: Families who display these qualities foster an atmosphere where everyone feels appreciated and cared for.

2. Families must be able to express their views and feelings and resolve disputes amicably and respectfully through effective communication.

3. Honesty and dependability over time help to build trust, which is crucial for happy family connections.

4. Respect: Families with members who value and respect one another's diversity and viewpoints thrive.

5. Families with similar values and ideas have a stronger sense of identity and can cooperate to achieve common goals.

Therefore, the correct option is A.

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Particles in a block of iron are stationary (not moving). Question 1 options: True False

Answers

Matter exist in solids, liquids, and gases are made of tiny particles called atoms and molecules. Particles which are attracted to each other tends to move closer together and vibrate in their position.

Particles in a block of iron are stationary (not moving), is a false statement

Particles in this block of iron may be small or big bjt know that particles are made up of atoms that aree packed tightly together and moves very slowly. In solid, they do vibrate back and forth because they are tightly packed

Conclusively, we can say that there is always a form of movement of particles in solid, it may be slow but there is.

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ABCD is a parallelogram with diagonal AC. If the measure of angle CAB is 21° and the measure of angle ADC is 125°, what is the measure of angle DAC? Parallelogram ABCD with diagonal AC; the measure of angle ADC is 125 degrees, and the measure of angle CAB is 21 degrees. 73° 62° 42° 34°

Answers

The measure of angle CAB in the parallelogram described is 34°.

Given :

∠CAB = 21°

∠ CAB = ∠ACD (Alternate interior angles)

∠ACD = 21°

∠DAC + ∠ADC + ∠ACD = 180° (Sum of interior angles of a triangle)

∠DAC + 125° + 21° = 180°

∠DAC = 180° - 146°

∠DAC = 34°

Therefore, the measure of angle ∠DAC is 34°

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Why is it important to have media coverage of government elections? It may be the only accessible source of information on the issues and candidates for a particular group of people. It helps people have a comprehensive understanding of all of the issues. It introduces the public to only the candidates who have the best chance of winning. It encourages people to vote for the right candidate based on the media’s informed opinions.

Answers

Media coverage of an election involves the use of several mass media options in reporting the state of events during the electoral or voting process. Hence, it allows people to have comprehensive understanding of all the issues during the process.

Media usage involves televisions, radio and various news and blogging agencies reporting and keeping the masses informed in the state of events in the electoral process.

Coverage allows the masses to have a comprehensive understanding of the issues arising during the election process.

The aim of media coverage is not to introduce bias or manipulate the electoral process.

Therefore, the importance of media coverage is to allow people have a comprehensive understanding of all issues.

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Answer: A

Explanation:

edge 100%

There are three subatomic particles found inside atoms. Two of the subatomic particles have a charge of positive or negative. The one particle that does NOT have a charge is the:

Answers

Answer:

Neutron

Hope this helped

which of the following statements describes a feature shared by mitochondria and the endoplasmic reticulum that increases the efficiency of their basic functions?

Answers

Mitochondria and the endoplasmic reticulum have HIGHLY folded membranes. This feature increases the efficiency of their basic functions.

Mitochondria are the energy centers of the eukaryotic cells that serve to synthesize ATP (the energy coin of the cell) by a process called cellular respiration.

The endoplasmic reticulum (ER) is an organelle responsible for the synthesis and processing of proteins and lipids, and the storage of micronutrients (calcium).

Mitochondria and the endoplasmic reticulum have folded membranes in order to increase the surface of the membranes and thus maximize their functions.

For example, mitochondrial membranes contain different protein complexes which are required during the electron transport chain of oxidative phosphorylation and ATP synthesis.

Moreover, the membranes of the endoplasmic reticulum have different enzymes in order to synthesize steroids (lipids) and carbohydrates.

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Read the following scene from Trifles. MRS. HALE (resentfully). I don’t know as there’s anything so strange, our takin’ up our time with little things while we’re waiting for them to get the evidence. (She sits down at the big table, smoothing out a block with decision.) I don’t see as it’s anything to laugh about. MRS. PETERS. (apologetically). Of course they’ve got awful important things on their minds. (Pulls up a chair and joins Mrs. Hale at the table.) How would an audio recording most likely convey the characters’ emotions during this scene? with the act of Mrs. Peters joining Mrs. Hale at the table with a close-up on each woman’s face with a change in each character’s tone of voice with the sound effect of a chair sliding across the floor

Answers

Answer:

C: With a change in each character’s tone of voice

Explanation:

An audio recording that most likely conveys the characters’ emotions during this scene is a change in each character’s tone of voice. The correct option is c.

What are Trifles?

The drama is partially inspired by the murder of John Hossack, whom Glaspell covered while a reporter for the Des Moines Daily News. Margaret Hossack, Hossack's wife, stated to the authorities on December 2, 1900, that an unknown individual broke into their home and murdered John with an axe while she slept next to him.

"Trifles," written in the early 1900s, deals with the rights, expectations, and assumptions about women in society at the time. In an ironic twist, the viewer is aware that the women have solved the murder mystery. The tone of the character conveys the emotions of the play, as the tone implies behavior and emotions.

Therefore, the correct option is c. with a change in each character’s tone of voice.

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What does the underlined word mean in the following sentence? ¡Es el conductor del autobús! policeman driver fireman teacher

Answers

Answer: Your answer would be driver

Explanation:

The underlined word means in the following sentence is driver.

Who is the driver?

The driving force is absolutely everyone who is familiar with that each avenue customers have a duty to every different to obey the regulation and the policies of the avenue. It is absolutely everyone who's unselfish, and who respects the rights of others. Let us all attempt to come to be higher drivers.

The underlined word means in the following sentence is the driver.

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A soccer coach surveyed the players to determine the number of players who preferred selling coupon books, magazine subscriptions, or both for their fundraiser. The results are given in the Venn diagram. A circle labeled coupon books 11 overlaps a circle labeled magazine subscriptions 7. Overlap is 3. 4-column table with 3 rows. First column has no label with entries magazines, not magazines, total. Second column is coupon books with entries 12%, blank, blank. Third column is not coupon books with entries a, 19%, blank. Fourth column is labeled total with entries blank, blank, 100%. To the nearest whole percent, what is the value of a in the relative frequency table for the survey results? a = 27% a = 42% a = 81% a = 88%

Answers

Answer:

Answer is  a = 27%

Explanation:

Answer:

the answer is A=27%

Explanation: Trust me i did it on the quiz and got a 100%

Which of the following buildings holds the Giotto fresco seen below? A fresco by Giotto di Bondone in 1306. The fresco depicts the Last Judgement with angels rising to Heaven and other souls going to Hell. a. Padua Chapel b. Scrovegni Chapel c. Florence Cathedral d. none of the above Please select the best answer from the choices provided A B C D

Answers

Answer:

D.) None of the above

Explanation:

hope it helped :)

Answer:   b) Scrovegni Chapel

Explanation:    :)

a child on a swing is pushed by his father brainly

Answers

Answer:

necesito los puntos jajajaja

Explanation:

the university has decided that for the following year

Answers

Wait what about it? I can’t see the complete question?
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