A marketing researcher for a phone company conducted a survey of 500 people and then constructed a confidence interval for the proportion of customers who are likely to switch providers when their contract expires. After seeing this interval, the company CEO insisted that the researcher repeat the survey and provide an interval with a margin of error half as large. What sample size should the researcher use for the new survey?
(A)250
(B) 354
(G) 708
(D) 1000
(B) 2000
Answers
Note that the marketing researcher should use a sample size of 1000 for the new survey to achieve a margin of error half as large as the original survey.
What is the explanation for the above response?
To determine the required sample size for the new survey, we can use the formula for the margin of error:
Margin of error = Z* (sqrt(p*(1-p)) / sqrt(n))
where Z* is the critical value of the standard normal distribution, p is the proportion of interest, and n is the sample size.
Let's assume that the original survey resulted in a 95% confidence interval with a margin of error of E. This means that the critical value Z* is 1.96 (for a 95% confidence level). We can rearrange the formula to solve for n:
n = (Z*^2 * p * (1-p)) / E^2
Since the CEO wants a new survey with a margin of error half as large, we need to use a margin of error of E/2 in the above formula. Solving for n, we get:
n = (Z*^2 * p * (1-p)) / (E/2)^2
Substituting the values, we get:
n = (1.96^2 * 0.5 * 0.5) / (E/2)^2
where p=0.5 because we want the maximum sample size, since this will give the highest precision in our estimation.
Therefore, the required sample size for the new survey is:
n = (1.96^2 * 0.5 * 0.5) / (E/2)^2 = (1.96^2 * 0.5 * 0.5) / (E^2 / 4) = 384.16
Rounding up to the nearest integer, the answer is (D) 1000, which is the closest option. Therefore, the marketing researcher should use a sample size of 1000 for the new survey to achieve a margin of error half as large as the original survey.
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Related Questions
URGENT CAN SOMEONE ANSWER THIS QUESTION AND SHOW THEIR WORK PLEASE! How many moles of ammonia (NH) can be produced from the reaction of 4.0 liters of hydrogen at 50.0°C and 1.2atm of pressure with excess nitrogen?
Answers
The balanced chemical equation for the reaction of hydrogen (H2) with nitrogen (N2) to produce ammonia (NH3) is:
N2 + 3H2 → 2NH3
To calculate the number of moles of ammonia produced from the given amount of hydrogen, we need to use the ideal gas law to determine the number of moles of hydrogen present in the reaction:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the given temperature of 50.0°C to Kelvin:
T = 50.0°C + 273.15 = 323.15 K
Next, we can use the ideal gas law to calculate the number of moles of hydrogen:
n = PV/RT = (1.2 atm)(4.0 L)/(0.08206 L·atm/mol·K)(323.15 K) = 0.181 mol
According to the balanced chemical equation, 3 moles of hydrogen react to produce 2 moles of ammonia. Therefore, the number of moles of ammonia produced is:
0.181 mol H2 × (2 mol NH3 / 3 mol H2) = 0.121 mol NH3
So 0.121 moles of ammonia can be produced from the given amount of hydrogen.
Where should someone look for employment openings if they want to pursue a career in academia?
the Department of Education website for K-12 openings
websites of famous particle physics laboratories
bulletin boards in college classes that focus on science topics
email lists that distribute openings in colleges and universities
Answers
Answer: The department of Education website.
Explanation:
When Rob and Danielle got married, they invited 200 people. Eighty
percent of the invitees sent back the RSVP card. Ninety percent of the
people who sent in an RSVP said they would attend. When the wedding
day arrived, 7 people who had responded yes did not show up, but half
of the people who had responded no did show up. One-fourth of the
people who had not sent in an RSVP showed up. They had chairs for
150 people. Were they able to accommodate everyone?
Answers
137 + 8 + 10 = 155 attendees would be there in total.
What does "accommodate" mean?They granted me a loan when I requested additional funds. He frequently altered his plans to please his clientele. To meet the unique needs of older inhabitants, new facilities are being provided.
160 of the 200 invited visitors, or 80%, responded.
90% of RSVPs indicated attendance, thus 144 persons are anticipated.
However, only 137 persons actually attended because 7 of the "yes" respondents did not show up.
Next, let's calculate the number of unexpected attendees:
50% of those who responded "no" attended = 0.5 x (160 - 144) = 8 people
1/4 of those who did not RSVP showed up = 0.25 x (200 - 160) = 10 people.
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Determine the value of the annuity for the indicated monthly deposit amount, the number of deposits, and the interest rate. You will need to determine the value for r to solve this problem. When finding r round it to the nearest ten thousandths. Deposit amount: $150; total deposits: 24; interest rate: 3%, compound monthly. The value for r is:____ The value of the annuity is $____
Answers
Answer: To find the value of the annuity for the indicated monthly deposit amount, number of deposits, and interest rate, we can use the following formula:
```A = PMT * ((1 + r/n)^(nt) - 1) / (r/n)```
Where:
- A is the value of the annuity
- PMT is the monthly deposit amount
- r is the interest rate
- n is the number of compounding periods per year
- t is the total number of years
In this case, the values are:
- PMT = $150 (monthly deposit amount)
- r = 0.03 (interest rate)
- n = 12 (compounding periods per year)
- t = 24/12 = 2 (total number of years)
Substituting these values into the formula above, we get:
```A = $150 * ((1 + 0.03/12)^(12*2) - 1) / (0.03/12)```
Simplifying this expression gives us:
```A = $150 * (1.0275^24 - 1) / 0.0025```
Evaluating this gives us:
```A = $3,789.09```
Therefore, the value of the annuity is $3,789.09.
To find the value of r, we can rearrange the formula above and solve for r:
```r = n * (((A * (r/n)) / PMT) + 1)^(1/(n*t)) - n```
Substituting the values we have, we get:
```0.03 = 12 * (((3789.09 * (0.03/12)) / 150) + 1)^(1/(12*2)) - 12```
Solving this equation gives us:
```r = 0.0330```
Rounding to the nearest ten thousandths as requested, the value of r is 0.0330.
The turtle’s distance from the starting point is increasing for
seconds.
Answers
Answer:
10 seconds, decreasing, standing still.
Explanation:
Hello how are you today?
Answers
Answer:
good,you?
Explanation: ;p have a nice day
What question can you never answer yes to?
Answers
are you asleep/dead?
When Thomas plays the piano, he reports seeing colors associated with the pitch of each note he plays. This is an example of which phenomenon?
A. Synaesthesia
B. The sensory threshold
C. Retrograde amnesia
D. Weber’s law
Answers
Answer:
a
Explanation:
Synesthetes can often “see” music as colors when they hear it, and “taste” textures like “round” or “pointy” when they eat foods.
which latitude shown on the diagram above experiences 24 hours of daylight on december 21?
Answers
Answer:
E. Antarctic Circle
6. Assume that depositors withdraw $4,000 from Otis Bank a. What is the initial change in M1 money supply? Explain your answer. (____/5)
Answers
Note that if depositors withdraw $4,000 from Otis Bank the initial change in M1 money supply would be $4000.
How is this so?When depositors remove funds from a bank, the quantity of money stored in M1, which comprises currency in circulation and demand deposits, decreases. Because the withdrawn amount is no longer accessible for immediate consumption, the M1 money supply falls.
The money supply refers to all the amount of all the currency and other liquid assets in a country's economy at the time the money supply is calculated.
The money supply comprises all cash in circulation as well as all bank deposits that may be readily converted to cash by the account holder.
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Larousse Language College will have 201 students in the Sixth Form next year. Mr Roche, who
does the timetabling, knows that between 70% and 75% of the students intend to study French
and between 40% and 50% of the students intend to study German. All students study either
French or German or both.
Answers
By using Venn diagram method, the smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.
Given that Larousse Language College will have 201 students in the Sixth Form next year. And between 70% and 75% of the students intend to study French. Also, between 40% and 50% of the students intend to study German.
If all students study either French or German or both, the least number of students that will study French will be
70/100 x 201
140. 7
Which means 141 students
The least number of students that will study German will be
40/100 x 201
80.4
That means 81 students
Also, the maximum number of students that will study French will be
75/100 x 201
150.75
That is 150 students ( Because approximation can't be done twice)
And the maximum number of students that will study German will be
50/100 x 201
100 students ( Because approximation can't be done twice)
a.) The smallest number of students that intend to study both French and German can be calculated as followed
Let the smallest number be x
141 - x + x + 81 - x = 201
222 - x = 201
- x = 201 - 222
-x = - 21
x = 21
b.) The largest number of students that intend to study both French and German can be calculated as followed
Let the largest number be y
150 - y + y + 100 - y = 201
250 - y = 201
- y = 201 - 250
-y = - 49
y = 49
Therefore, The smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.
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for the diagram below assume fracking has not been used with the oil and gas well.
rock layer that must be porous and have enough permeability for fluid to move through the layer
A
B
C
D
Answers
The rock layer that must be porous and have enough permeability for fluid to move through the layer is:
Option BAccording to the given question, we are asked to state the rock layer that must be porous and have enough permeability for fluid to move through the layer.
As a result of this, we can see that we are assuming that fracking has not been used with the oil and gas well and this rock layer would need to be permeable so that fluids can move through it to other areas.
Therefore, the correct answer is option B
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Use the box plots comparing the number of male pets and number of female pets attending doggy daycare each day for a month to answer the questions.
Two box plots shown. The top one is labeled Males. Minimum at 1, Q1 at 3, median at 10.5, Q3 at 14, maximum at 21, and a point at 30.
The bottom box plot is labeled Females. Minimum at 0, Q1 at 15, median at 18, Q3 at 21, no maximum shown
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Answers
The IQR for the males' data is 25 and the difference between the median of the males' data and the female's data is 14.
What is the interquartile range?The interquartile range for the male data is the difference between the third quartile and the first quartile.
Here IQR = third quartile - first quartile
= 25 - 0 = 25
Median = 20 - 6 = 14
The distribution of the males' data is skewed to the right and the median would be a better measure of the center. The distribution of the female data is normal and the mean would be a better measure of the center.
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what is hell and heaven?
Answers
only 5% of people on this earth go to heaven. its NOT based off of if you were a "good person" or not or if you did good deeds. there is not one good person on this earth. everyone deserves hell. but if you strive to be like Christ every day, read your Bible daily, repent of your sins and truly become born again then you will go to heaven.
but you dont just "say the prayer" to become saved.
"once saved, always saved" is FALSE.
Activity 2: Geography of Africa Directions: Write the name of 10 African countries on the map below. Two of those countries must be Sudan and South Sudan. So
Answers
According to the information here are some African countries Sudan, South Sudan, Nigeria, Ethiopia, Egypt, Kenya, South Africa, Tanzania, Algeria, and Morocco.
What are these countries?Sudan: Sudan is a country located in northeastern Africa, bordered by Egypt to the north, Libya to the northwest, Chad to the west, the Central African Republic to the southwest, South Sudan to the south, Ethiopia to the southeast, Eritrea to the east, and the Red Sea to the northeast.South Sudan: South Sudan is a landlocked country located in northeastern Africa, bordered by Sudan to the north, Ethiopia to the east, Kenya to the southeast, Uganda to the south, the Democratic Republic of the Congo to the southwest, and the Central African Republic to the west.Nigeria: Nigeria is a country located in West Africa, bordered by Niger to the north, Chad to the northeast, Cameroon to the east, and Benin to the west. It is the most populous country in Africa.Ethiopia: Ethiopia is a country located in the Horn of Africa, bordered by Eritrea to the north, Djibouti and Somalia to the east, Sudan and South Sudan to the west, and Kenya to the south. It is known for its rich history and cultural heritage.Egypt: Egypt is a transcontinental country, with a majority of its territory located in northeastern Africa and a small portion extending into the Middle East. It is bordered by Libya to the west, Sudan to the south, Israel and the Gaza Strip to the northeast, and the Red Sea to the east.Kenya: Kenya is a country located in East Africa, bordered by Ethiopia to the north, Somalia to the east, Tanzania to the south, Uganda to the west, and South Sudan to the northwest. It is known for its diverse wildlife and scenic landscapes, including the Maasai Mara reserve and Mount Kilimanjaro.South Africa: South Africa is a country located at the southernmost tip of the African continent. It is bordered by Namibia, Botswana, and Zimbabwe to the north, Mozambique and Eswatini to the northeast, and Lesotho, an enclave surrounded by South Africa. It is known for its diverse cultures, wildlife, and stunning natural landscapes.Tanzania: Tanzania is a country located in East Africa, bordered by Kenya and Uganda to the north, Rwanda, Burundi, and the Democratic Republic of the Congo to the west, and Zambia, Malawi, and Mozambique to the south. It is home to Mount Kilimanjaro, the Serengeti National Park, and the Zanzibar Archipelago.Algeria: Algeria is a country located in North Africa, bordered by the Mediterranean Sea to the north, Tunisia and Libya to the east, Niger and Mali to the south, Mauritania and Western Sahara to the southwest, and Morocco to the northwest. It is the largest country in Africa.Morocco: Morocco is a country located in North Africa, bordered by the Atlantic Ocean and the Mediterranean Sea to the west and north, respectively. It shares land borders with Algeria to the east and southeast and Western Sahara to the south. Morocco is known for its vibrant cities, historic sites, and beautiful landscapes, including the Atlas Mountains and the Sahara Desert.Note: This question is incomplete. Here is the complete information:
Attached image
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HURRYY
What is MOST accurate about the audience for pop music?
A.Only young people listen to pop music.
B.It appeals to people with a specific ideology.
C.All older people hate pop music.
D.Pop music appeals to people of all ages.
Answers
D. Pop music appeals to people of all ages.
C). What has driven these trends
D). Which type of pesticide has seen the greatest increase in use overtime
E) Why might this be?
2. Why does glyphosate target plants specifically?
Answers
C) The trends of launching translation campaigns to spread tendentious remarks and misinformation can be driven by various factors.
D) The particular variety of pesticide that has experienced the most significant surge in usage over time could differ based on geographical location and unique context.
What is the glyphosateIn recent times, the controversial use of glyphosate, a commonly adopted pesticide, has attracted significant interest.
Glyphosate is distinguished as a broad-spectrum herbicide which makes it exclusively effective against plants. This prevents the functioning of EPSP synthase, an essential enzyme involved in the synthesis of specific amino acids needed for the development of plants. Glyphosate disrupts the plant's protein synthesis process by interfering with the enzyme responsible for it, ultimately causing the plant to die.
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Plz someone help plz show your work and I’ll transfer pay u❤️
Answers
Answer:
Hey I don't know what happened I couldn't comment i will write answers here
Evidence:
The green powder changed to a black powder
mass of crucible = 27.24g
mass of crucible + malachite = 29.36g
mass of crucible + product = 28.76 g
the analysis is in the picture
and can you tell your insta id if any problem arises I will tell you there
13. A digital multimeter should be able to measure all the following EXCEPT:
OA. Amperage
OB. Voltage
OC. Distance
OD. Current
Answers
Explanation: A multimeter is a tool that measures amps, voltage, and currents
In mountainous regions, there are increases in global temperatures that affects that region's climate. Propose a solution for communities in these regions to be able to tolerate their unique climate.
Answers
Communities in these regions can build houses and structures designed to keep a cool temperature.
How does weather affect communities?Weather affects people in many different ways, this includes:
Economic activities.Time they can spend inside vs outside.Recurrence of some diseases such as hypothermia.Level of comfort and life quality.What can the communities do?Considering in most communities most of the people spend more time indoors, the best option if temperature increases is to build houses, and other structures that keep a cool temperature or to adapt old structures to do this. This is possible through:
The use of materials such as stone or concrete that absorb heat.The use of specific designs that help heat absorption.The use of air conditioning systems.Learn more about cold weather in: https://brainly.com/question/1361939
A hacker uses hundreds of different IP addresses to overrun a bank’s website with requests. This effectively shuts down the website and prevents any Internet users from accessing it. Which of the following is the name for this kind of attack?
Answers
AP Biology
from an energy standpoint compare an electron in the 3rd energy shell to one in the 2nd shell
Answers
From the energy standpoint, the comparison of an electron in the 3rd energy shell to one in the 2nd shell is seen below
What is the comparison about?The 2 energy level is known to be different than the 3 energy level because:
The first energy level is seen as the one that is said to be closest to the nucleus.
The second energy level is said to be a little far from the first.
The third is said to be more or a little farther away from the second, and so are the others.
Note that Each energy level is one that is able to accommodate or “take in” a different number of electrons and this is one that is often done before additional electrons start to go into the next level.
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At Kirby Middle School, some students were surveyed to see which social
media app they used the most. The results are shown below.
App Number of Students
Face
8
Snap
22
Insta
20
Solve and explain how to calculate what percent of students used Snap the
most?
Answers
Answer:
\(44\%\)
Explanation:
Number of students who use Face = 8
Number of students who use Snap = 22
Number of students who use Insta = 20
Total number of students = 8 + 22 + 20 = 50
Percent of students who used Snap the most = (Number of students ÷ Total number of students) × 100
= \(\frac{22}{50}(100)=44\%\)
If a predator gets its energy from three different sources, is it more or less vulnerable than a predator that gets its energy from only one source?
Answers
Answer:
I would say its less vulnerable because then it had 3 different sources for food and so if one goes extinct then it's fine but if the predator with one food source and that one food source dies the predator is our of luck
hope this helped
Water exists as a solid, liquid, and gas on Earth.
It is the only substance that naturally exists in all
three states within the relatively small range of
air temperatures and pressures found at the
earth's surface. How is this property of water
central to the planet's dynamics?
1. By changing states, water can evaporate
and transpirate into the atmosphere.
2. By changing states, water can condense
and travel from the atmosphere to Earth's
surface
3. By chimging states, water can influence
and shape Earth's surface. Precipitation
that falls can cause erosion and
weathering.
Answers choices:
(A) 1 only
(B) 1 and 2
(C) 2 and 3
(D) 1, 2, and 3
Answers
This property of water is central to the planet's dynamics because: (B) 1 and 2.
The states of matter.In Science, water is an example of matter and it exists in three (3) main states or phases such as the following:
SolidLiquidGasDue to the ability of water to naturally exists in all three states, water can evaporate and transpirate into the atmosphere, and condense and travel from the atmosphere to Earth's surface.
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A number game is set up on 6 cylinders which have a common axle. Cylinder A does not move, but the others can move in either direction. The numbers are set out as in the table below.
If Row 1 is set to read 1, 2, 3, 4, 5, 6 across, what will Row 4 read at the same time?
Answers
Row 4 will read 2, 1, 5, 3, and 6 at the same time as Row 1 if Row 1 is programmed to read 1, 2, 3, 4, and 5 across.
How do you determine whether two rows are identical?Find & Select > Go To Special should be selected in the Editing group under the Home tab. Choose Row differences after that, and then press OK. Each row's coloured cells are those whose values deviate from the comparison cell.
We must study the pattern of movement of the numbers as the cylinders revolve in order to resolve this issue.
Row 2 will descend by one if Cylinder B completes one full clockwise rotation, and the following will occur:
\(Row 1: 6, 1, 2, 3, 4, 5\)
\(Row 2: 4, 3, 2, 1, 6, 5\)
\(Row 3: 2, 1, 4, 5, 6, 3\)
\(Row 4: 1, 5, 3, 6, 4, 2\)
Row 3 will descend by one if Cylinder C completes one full anticlockwise spin, and the following will occur:
\(Row 1: 1, 2, 3, 4, 5, 6\)
\(Row 2: 5, 1, 2, 3, 4, 6\)
\(Row 3: 3, 6, 1, 4, 2, 5\)
\(Row 4: 1, 5, 3, 6, 4, 2\)
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How did William Jennings Bryan’s “Cross of Gold” speech prove to be both a strength and a weakness of the Populists?
Answers
William Jennings Bryan's "Cross of Gold" speech, delivered at the 1896 Democratic National Convention, was a powerful and influential speech that helped him win the Democratic nomination for President.
What did the speech call for?The speech called for the free coinage of silver, which was a key issue for the Populist movement and helped to rally support for their cause.
However, the speech also proved to be a weakness for the Populists. Despite Bryan's nomination, he ultimately lost the election to Republican William McKinley.
Additionally, the Populists' focus on the silver issue was seen as divisive and potentially harmful to the broader progressive movement. This led to a split within the party and ultimately the decline of the Populist movement.
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Explain four reasons of preserving farm produce
Answers
The following are some of the reasons we preserve our food.
Not to lose it freshness
.To prevent contamination and infection
.To prevent food from smelling
.To keep insect and other pest away from the food.
Keeps farm produce in good condition for planting in the next season
.To keep food for a long period of time.
Explanation:
One- Not to lose it freshness.
Two- To prevent contamination and infection.
Three- To prevent food from smelling.
Four- To keep insect and other pest away from the food.
You should present a cogent argument based on your critical analysis of the questions posed, using appropriate psychological terminology. It is not enough to answer a question by merely listing facts.
Jennifer is interested in training two of her new puppies to participate in agility competitions. One of the puppies, Sasha, was given a treat each time she more closely approximated the behavior that Jennifer wanted from her. Then she got a treat every third time she completed the entire behavior correctly. The other puppy, Rosie, was exposed to a harsh sound whenever she did the wrong behavior.
In the chart, Jennifer kept track of the number of correctly completed behaviors for each puppy, in order to know which one will be best for competition.
Part A: Apply each of the following concepts to Jennifer’s training of her puppies.
Independent variable
Dependent variable
Confounding variable
Ethical treatment of subjects
Behavioral shaping
Part B: Use the information provided to complete the following statistical procedures.
Calculate the mean correct behaviors for Sasha over the 4 days. Show your work.
Calculate the mode correct behaviors for Rosie over the 4 days.
Answers
Independent variable: The independent variable in Jennifer's training of her puppies is the type of reinforcement or punishment used. For Sasha, it was positive reinforcement (treats), while for Rosie it was negative reinforcement (harsh sound).
What concept do we ascribe other scenarios?Dependent variable: The dependent variable in Jennifer's training is the number of correctly completed behaviors by the puppies.
Confounding variable: A confounding variable could be any extraneous factor that affects the dependent variable, such as the puppies' natural ability or previous experiences. In this case, the confounding variable could be the puppies' individual temperaments and how they respond to the reinforcement or punishment.
Ethical treatment of subjects: It is important to ensure the ethical treatment of research subjects, including animals. Jennifer's use of positive reinforcement for one puppy and negative reinforcement for the other could be considered ethical as long as the reinforcement is not harmful and the puppies are not distressed.
Behavioral shaping: Jennifer is using behavioral shaping to train the puppies by gradually increasing the difficulty of the behavior as the puppies' accuracy improves.
In order to calculate the mean correct behaviors for Sasha over the 4 days. The workings is:
Day 1: 10
Day 2: 12
Day 3: 15
Day 4: 16
Mean = (10 + 12 + 15 + 16) / 4 = 53 / 4 = 13.25
For us to calculate the mode correct behaviors for Rosie over the 4 days. The workings is:
Day 1: 1
Day 2: 2
Day 3: 2
Day 4: 3
Mode = 2
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Explain why the surface of the moon looks so much different than the surface of the planet.
Answers
Answer:
The major factor which does change the Moon's surface is the impact of meteoroids, forming craters. Even this process is very slow today; most of the Moon's craters, and all of the large ones, are hundreds of millions to billions of years old. The surface of the Moon is very old, compared to the Earth.
Answer:
Explanation:
The surface of the Moon looks significantly different from the surface of the Earth due to various factors. The Moon lacks an atmosphere, water, and tectonic activity, which are significant geological forces on Earth.
As a result, the Moon's surface is characterized by impact craters, basaltic plains known as maria, and rugged, rocky terrains. On the other hand, Earth's surface features diverse landscapes shaped by weathering, erosion, volcanic activity, plate tectonics, and the presence of an atmosphere and water bodies.
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