Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 52.3 miles per hour

Speed (miles per hour) 42-45, 46-49, 50-53, 54-57, 58-61
Frequency 26, 15, 7, 4, 2

The mean of the frequency distribution is ? Miles per hour
Round to the nearest tenth as needed

Answers

Answer 1

The mean of the frequency distribution is 47.2 miles per hours.

How do we find the mean?

To find the mean of the data summarized in the frequency distribution, we need to first find the midpoint of each class interval. The midpoint is the average of the upper and lower limits of the interval. Then, we need to multiply each midpoint by its corresponding frequency and add up the products. Finally, we divide the sum by the total frequency.

Class interval midpoints:

To find the mean of the data summarized in the frequency distribution, we need to first find the midpoint of each class interval. The midpoint is the average of the upper and lower limits of the interval. Then, we need to multiply each midpoint by its corresponding frequency and add up the products. Finally, we divide the sum by the total frequency.

Class interval midpoints:

42-45: (42+45)/2 = 43.5

46-49: (46+49)/2 = 47.5

50-53: (50+53)/2 = 51.5

54-57: (54+57)/2 = 55.5

58-61: (58+61)/2 = 59.5

Product of midpoint and frequency:

43.5 x 26 = 1131

47.5 x 15 = 712.5

51.5 x 7 = 360.5

55.5 x 4 = 222

59.5 x 2 = 119


Total frequency = 54

Sum of products = 1131 + 712.5 + 360.5 + 222 + 119 = 2545

Mean = Sum of products / Total frequency = 2545 / 54 = 47.2 miles per hour (rounded to the nearest tenth)

The computed mean of 47.2 miles per hour is higher than the actual mean of 52.3 miles per hour. This suggests that the distribution is skewed towards the lower speeds, with more data points in the lower intervals than in the higher intervals.

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Related Questions

Define the term change ana state one negative change you may encouter as a student

Answers

Answer:

Explanation:

Change refers to the process of transitioning from one situation, condition, or state to another. It is a natural and constant phenomenon that occurs in various aspects of life, such as personal development, organizational growth, societal progress, and environmental shifts. Change can be voluntary or involuntary, planned or unplanned, positive or negative.

As a student, one negative change that you may encounter is academic setbacks or failure. This can happen when you are not able to meet your academic expectations, such as getting low grades or failing exams. Academic setbacks can be caused by various factors, such as lack of motivation, poor study habits, stress, anxiety, or health problems. They can be frustrating, demotivating, and impact your self-esteem and confidence. However, it's important to remember that setbacks are a natural part of the learning process and can provide opportunities for growth and improvement. It's essential to seek support, identify the root cause of the setback, and take action to address it.

You are a physician who is interested in the role of traumatic life events in overall physical health. You ask a sample of your patients to report the number of traumatic events they experienced as children to see whether the number of childhood traumatic events correlates with the frequency of illness. The sample scores for the number of childhood traumatic events are organized into the following frequency distribution table. X f fX Number of Traumatic Events Number of Patients Total Traumatic Events 0 2 0 1 5 5 2 6 12 3 8 24 4 5 20 5 4 20 6 3 18 7 2 14

Answers

The correlation coefficient between the frequency of disease and the number of traumatic experiences experienced as children is -0.024, which shows a very weak negative association.

What ties childhood trauma and chronic illness together?

Trauma may permanently kick the body's stress response system into high gear. In turn, autoimmune illnesses and other issues may develop as a result of or be the beginning of the heightened stress responses' increased inflammation.

The formula for the mean and standard deviation of a discrete probability distribution can be used to accomplish this.:

Mean = Σ(X * f) / Σf

[tex]Standard deviation = sqrt[Σ(X^2 * f) / Σf - (Σ(X * f) / Σf)^2][/tex]

[tex]Mean = (02 + 15 + 26 + 38 + 45 + 54 + 63 + 72) / (2+5+6+8+5+4+3+2) = 3.04[/tex]

[tex]Standard deviation = sqrt[(0^22 + 1^25 + 2^212 + 3^28 + 4^25 + 5^24 + 6^23 + 7^22) / (2+5+6+8+5+4+3+2) - (3.04)^2] = 1.899[/tex]

[tex]r = Σ[(X - X_mean) * (fX - ΣXf / Σf)] / [sqrt(Σ(X - X_mean)^2 * Σ(fX - ΣXf / Σf)^2)][/tex]

When we enter the values from our prior calculation, we obtain:

[tex]r = [(-3.042 + -2.045 + -1.046 + -0.048 + 0.965 + 1.964 + 2.963 + 3.962) / (1.899 * sqrt(2^2 + 5^2 + 12^2 + 8^2 + 5^2 + 4^2 + 3^2 + 2^2))] = -0.024[/tex]

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Noel read 90 minutes each day for 6 days. Tyra read 60 minutes each day for 8 days. What is the difference, in minutes, between the total amount of time Noel read and the total amount of time Tyra read?
*
10 points
A 30
B 40
C 60
D 80

Answers

C sixty Minutes

90×6=540

60×8=480

540-480=60

C=60

Which whole number is equivalent to 8 and 2


A:2 B:4 C:6 D:8

Answers

The whole number equivalent to 8 and 2 is 6 which is option C

How to find this?

The question is asking for a single whole number that is equivalent to the combination of 8 and 2. Since 8 and 2 add up to 10, the answer must be a number that also adds up to 10.

The only option that fits this criteria is option C, 6, since 8+2=10 and 6+4=10. Therefore, the whole number equivalent to 8 and 2 is 6.

Whole numbers is a collection of all the basic counting numbers and 0. In mathematics, counting numbers are called natural numbers.

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MANUAL DE LENGUA ES
5. Mediante diagramas descompón los siguientes signos lingüísticos.
Mesa- silla--- flor--- carro--- elefante---camisa--- televisión--- canasta---
Significante:
Significado:

Answers

Mesa:

Significante: M e s a

Significado: un mueble para poner cosas encima de él.

Silla:

Significante: s i l l a

Significado: un mueble para sentarse.

Flor:

Significante: f l o r

Significado: una estructura reproductiva de las plantas con pétalos y un aroma dulce.

Carro:

Significante: c a r r o

Significado: un vehículo de cuatro ruedas impulsado por un motor.

Elefante:

Significante: e l e f a n t e

Significado: un animal terrestre de gran tamaño con una trompa y grandes orejas.

Camisa:

Significante: c a m i s a

Significado: una prenda de vestir que cubre el torso y los brazos.

Televisión:

Significante: t e l e v i s i ó n

Significado: un dispositivo que muestra imágenes y sonido transmitidos por ondas electromagnéticas.

Canasta:

Significante: c a n a s t a

Significado: un recipiente tejido con asas utilizado para transportar y almacenar objetos.

What can you do if your plans do not work out well and the children seem more interested in an idea of their own?​

Answers

Explanation:

If your plans do not work out well and the children seem more interested in an idea of their own, you can take the time to listen to their idea and discuss it with them. Ask them questions about why they think their idea is better and try to understand their perspective. You could work with them to come up with a compromise that meets both of your needs. Additionally, you could also explain why you had the original plan and discuss how the new idea can be improved. Finally, if the children are adamant about the idea, you could always try it out and see how it works.

When your plans don't work out and children show more interest in their ideas, be flexible and embrace their creativity. Listen to their ideas, involve them in decision making, and integrate their concepts into your plan where possible.

What to do if they show their own ideas

When your plans falter and children show greater interest in their own ideas, embrace flexibility and encourage their creativity. Listen attentively to their thoughts and involve them in decision-making. Whenever possible, integrate their ideas into your original plan, fostering a sense of ownership and responsibility.

Offer guidance and suggestions to refine their concepts or align them with learning objectives. Find a compromise when their ideas differ significantly from yours. Prioritize the learning process over rigid adherence to your initial plan.

Create an environment that promotes open communication, patience, and understanding. Reflect on the experience, learning from challenges, and use this knowledge to improve future approaches. Supporting children's interests cultivates enriching learning experiences and personal growth.

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Which one of the following is a dependent clause?
Marci graduated at the top of her class in high school
She was admitted with honors into her college degree program
Throughout her college courses, she continued to earn high grades
Because she graduated from college with honors as well

Answers

Answer:

Because she graduated from college with honors as well

Explanation:

It's because it is not a complete sentence.

In other words, this sentence is a reason, but it is not clear what is this reason for.

Hope it helps!

How many questions are on the SAT

Answers

Answer: 154 questions

Explanation: The SAT format includes 154 multiple-choice questions

Answer: The standard SAT has 154 questions

Explanation:

Construct an argument that is valid according to the pattern of modus
tollens and which has the following universal statement as its main premise: "All planets
orbit the sun.”

Answers

Answer:

Explanation:

Modus Tollens is a valid form of deductive reasoning that works by first assuming a conditional statement, and then using a negation of the consequent to prove that the antecedent must also be false.

Here's an example of an argument that is valid according to the pattern of modus tollens and uses the universal statement "All planets orbit the sun" as its main premise:

Premise 1: All planets orbit the sun.

Premise 2: Pluto does not orbit the sun.

Conclusion: Therefore, Pluto is not a planet.

In this argument, the main premise is the universal statement "All planets orbit the sun." The second premise is the negation of the consequent - that Pluto does not orbit the sun. By using modus tollens, we can logically conclude that the antecedent (that Pluto is a planet) must be false, and therefore, the conclusion is that Pluto is not a planet.

This argument is valid because it follows the structure of modus tollens, and the premises are both true. By starting with a universal statement, we can make a logical deduction based on a particular instance that contradicts the universal statement. In this case, the fact that Pluto does not orbit the sun contradicts the universal statement that all planets orbit the sun, and therefore, we can conclude that Pluto is not a planet.

The sale price of a laptop is $505.44 after 35% discount and 8% additional tax. What was the original price of the laptop before discount and tax?

Answers

Answer:

The original price of the laptop before discount and tax was $718.46.

Explanation:

Let's work backwards from the sale price to find the original price:

1. First, we need to remove the effect of the additional 8% tax.

We can do this by dividing the sale price by 1.08 (100% + 8% = 108%) :

$505.44 / 1.08 = $467.00 (rounded to the nearest cent)

2. Now we need to remove the effect of the 35% discount. We can do this by dividing the price before discount by 0.65 (100% - 35% = 65%) :

$467.00 / 0.65 = $718.46 (rounded to the nearest cent)

James Gibson's theory of direct perception emphasizes one particular aspect of vision. Give a brief overview about the central claims of the theory and at least two different applications of these ideas to real-world tasks.

Answers

Answer:

Explanation:

James Gibson's theory of direct perception, also known as ecological psychology, argues that the primary function of perception is to allow organisms to perceive affordances in the environment, rather than simply perceiving physical features. Affordances refer to the opportunities for action that the environment provides, which are directly perceivable to the organism.

The theory posits that perception is a direct, unmediated process in which information is directly picked up by the sensory organs and used to perceive affordances. According to Gibson, perception is not an inferential or interpretive process that involves making inferences or constructing mental representations based on sensory input. Instead, perceptual information is available in the ambient optic array, the array of light that is present in the environment.

Two applications of Gibson's theory of direct perception to real-world tasks are:

Driving: According to Gibson's theory, the perception of affordances is crucial for driving. Drivers must be able to perceive the affordances of the road and other vehicles in order to drive safely. For example, a driver needs to be able to perceive the affordance of a gap in traffic in order to change lanes or merge onto a highway. Similarly, a driver needs to be able to perceive the affordances of other vehicles, such as their speed and direction, in order to navigate traffic safely.

Sports: Gibson's theory of direct perception has also been applied to sports performance. Athletes must be able to perceive affordances in their environment in order to perform optimally. For example, a basketball player must be able to perceive the affordances of the court, the ball, and the other players in order to make quick, accurate decisions and execute their moves. Similarly, a soccer player must be able to perceive the affordances of the field, the ball, and the other players in order to anticipate the movements of their opponents and make strategic decisions.

Overall, Gibson's theory of direct perception emphasizes the importance of perceiving affordances in the environment and challenges traditional views of perception as a purely representational process. By emphasizing the directness and immediacy of perception, Gibson's theory has influenced a wide range of fields, from psychology and neuroscience to design and engineering.

what is the message of the song the journey by lea salonga

Answers

Answer:

"The Journey" by Lea Salonga is a song about self-discovery and personal growth. The message of the song is that life is a journey that we must embrace, even when it's difficult. The lyrics encourage the listener to keep moving forward and to trust in themselves and their abilities, even when the road is uncertain.

Hope this helps!
Brainliest and a like is much appreciated!

Answer:

it is an inspirational song about staying positive even in the darkest of times, and thinking one day everything will be fine.

Explanation:

many tessellations news conduct "instant" polls by providing an 800 number and asking an interesting question of the day for viewers to call and answer. is this type of poll a probability sample?

Answers

No, this type of poll is not a probability sample. Instant polls conducted through an 800 number only include people who choose to call in and respond, which may not be representative of the entire population. The sample is self-selected and may be biased towards those who have a strong opinion or are more likely to take action. Therefore, the results cannot be generalized to the entire population.

fbfbyur The tree in Jacob's yard casts a shadow that is 27
27
feet long.
Jacob is 5
5
feet tall and casts a shadow that is 4.5
4
.
5
feet long.
The two triangles formed are similar because the angle to the sun is the same.

What is the height of the tree?

A right triangle with height of a tree question mark and width 27 feet. A right triangle with height of a man 5 feet and width 4.5 feet.
CLEAR CHECK

24.3
24.3
feet



26.5
26.5
feet



27.5
27.5
feet



30
30
feet

Answers

Answer:

the height of the tree is 30 feet.

Explanation:

We can use the properties of similar triangles to solve the problem. Let's call the height of the tree "h". Then, we have:

h / 27 = 5 / 4.5

Cross-multiplying, we get:

h * 4.5 = 5 * 27

h = (5 * 27) / 4.5

h = 30

Therefore, the height of the tree is 30 feet.

We can establish a ratio between the height of the tree and the length of its shadow, as well as between Jacob's height and the length of his shadow, using the information provided.

Describe shadow Which characteristic of light causes shadows to form?

Light moves in a straight line in a particular medium thanks to rectilinear propagation. A shadow is created when light hits an opaque item because the light cannot travel through it. The shadow's shape can be determined in part by this characteristic of light.

(Tree Height) / 27 = 5 / 4.5

Cross-multiplying and calculating the tree's height:

(tree height) = 27 ×5 / 4.5 = 30.

Hence, the tree is 30 feet tall.

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The salesperson spends 37% of the money earned from sales on travel expenses. The rest of the money is the salesperson’s profit. What is the profit the salesperson makes on a day in which she makes 6 sales?

Answers

Answer:

Explanation:

To find the profit the salesperson makes on a day in which she makes 6 sales, we need to use the information that the salesperson spends 37% of the money earned from sales on travel expenses. This means that the remaining 63% is the profit.

Let's assume that the salesperson earns $100 for each sale. Then, the total money earned from 6 sales would be $600 (i.e., $100 x 6).

The amount the salesperson spends on travel expenses would be 37% of $600, which is:

0.37 x $600 = $222

The profit the salesperson makes would be the remaining 63% of $600, which is:

0.63 x $600 = $378

Therefore, the profit the salesperson makes on a day in which she makes 6 sales is $378.

The shielded metal arc welding process is an electric arc welding process, more commonly known as

Answers

Answer:

stick welding.

Explanation:

The shielded metal arc welding (SMAW) process is commonly known as stick welding because it involves the use of a "stick" or electrode, which is a consumable metal rod coated with a flux that melts and forms a protective gas shield around the weld area. The electrode is held in an electrode holder, which is connected to the welding power source, and the electric arc is created between the electrode and the workpiece, causing the metal to melt and fuse together.

During the welding process, the flux coating on the electrode burns and releases gas, which helps to shield the weld area from the surrounding atmosphere. This protective gas shield prevents the molten metal from reacting with oxygen, nitrogen, and other gases in the air, which could weaken the weld or cause defects.

The stick welding process is widely used in construction, shipbuilding, pipeline welding, and repair work, as it is versatile, portable, and can be used in outdoor environments. The term "stick welding" has become a commonly used name for this welding process due to the use of the stick electrode.

define the term national bench mark test and mention two reasons why it is important in the university application process

Answers

The National Benchmark Tests (NBTs) are assessments for first-year applicants into higher education institutions. The NBTs were designed to measure a writer's ability to transfer understanding of Academic Literacy, Quantitative Literacy and Mathematics to the demands of tertiary coursework.

The Meaning Of Assessment

The Latin word "assessare" from the Middle Ages meant to "fix a tax upon," and this is where the English word "assess" comes from. Another derivation of the Latin name is ‘assidere’ or ‘adsidere’ meaning “to sit beside” (a judge) (a judge). The judge's assistant is mentioned, whose responsibility it was to determine the amount of a fine or tax by determining the value of a piece of property.Hence, assessment is the act of gathering data on pupils from many sources so that teachers may get a sense of what they know and what they can do with it. Assessment is concerned with the students' performance, whereas evaluation is focused with making judgements about instruction, a curriculum, or an educational system.

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Discuss three best practices when creating effective learning environments.​

Answers

Explanation:

Effective learning environments require careful planning and attention to detail. Here are three best practices for creating an effective learning environment: 1. Creating a Safe and Supportive Environment: Creating a safe, supportive, and respectful environment is essential for effective learning. This includes creating an atmosphere of respect, trust, and collaboration. It also means providing a safe space for students to explore their ideas, take risks, and make mistakes without fear of repercussions. Additionally, providing resources such as counseling and mental health support can help foster an environment of safety and support. 2. Establishing Clear Expectations: Establishing clear expectations helps to create an effective learning environment Students should be aware of behavioral expectations and course requirements. This helps to ensure that all students understand the rules and expectations and can focus on learning without disruption. 3. Promoting Collaboration: Collaboration is an important part of learning. Encouraging students to work together to solve problems fosters a sense of community and encourages critical thinking and problem-solving skills. Additionally, allowing students to work together in groups or teams helps to foster cooperation and teamwork.

Answer:

Here are three best practices for creating effective learning environments:

1. Create a Safe and Inclusive Environment: Set clear expectations and rules for behavior that are consistently enforced. Address any bias or discrimination that may arise and provide opportunities for all learners to participate and contribute.

2. Use Varied and Engaging Instructional Strategies: Incorporate a variety of instructional strategies and methods, such as lectures, group work, and simulations, to address different learning styles and preferences and keep learners engaged and motivated.

3. Provide Timely and Constructive Feedback: Give feedback that is specific, actionable, and focused on the learner's strengths and areas for improvement. Provide feedback in a timely manner to allow learners to make necessary adjustments and improvements.

By following these best practices, educators and instructors can create effective learning environments that promote growth and development for all learners.

Express the conclusion of this test in a well written evidence-based contextual sentence for a
general audience.

Answers

Test conclusion: A randomized controlled trial showed that daily consumption of 30 grams of dark chocolate for eight weeks led to a significant reduction in blood pressure levels in hypertensive patients.

The Original Text

Good news for chocolate lovers! A recent study found that eating 30 grams of dark chocolate every day for eight weeks can lower blood pressure in people with hypertension. The study used a randomized controlled trial design and showed a significant reduction in blood pressure levels in the group that consumed dark chocolate daily. These findings suggest that dark chocolate may have potential as a natural way to manage hypertension.

However, it's important to note that the study was conducted on a specific group of patients and further research is needed to confirm the results and explore potential risks and benefits.

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How many sections are their on the SAT ?

Answers

Answer:

3

Explanation:

name two examples of long term goal?​

Answers

Answer:

♥Become a better spouse or parent.

♥Complete your first marathon.

♥Create and commit to a fitness routine.

♥Learn a foreign language.

♥Cut junk food out of your diet.

♥Start volunteering regularly.

♥Increase your emotional intelligence.

♥Earn a college degree.

Answer:

1. Saving enough money to retire comfortably.

2. Starting your own business.

3. Buying a house.

4. Paying off all your debts.

5. Traveling to every continent.

6. Learning a new language fluently.

7. Running a marathon.

8. Writing a book.

9. Becoming a CEO of a company.

10. Earning a PhD.

11. Becoming a professional athlete.

12. Building a successful career in a specific field.

13. Becoming financially independent.

14. Starting a family.

15. Becoming a homeowner.

16. Becoming a public speaker.

17. Learning a new skill, such as coding or cooking.

18. Volunteering regularly for a cause you care about.

19. Becoming a mentor to others.

20. Achieving a specific level of fitness or health.

Roger Williams was banished from the Massachusetts Bay Colony because he _____.

argued for the separation of church and state
no longer believed in God
refused to follow the Sabbath
was friendly to the Native Americans

Answers

Answer:

Explanation:

Roger Williams was banished from the Massachusetts Bay Colony because he argued for the separation of church and state. He believed that the government should not be involved in religious matters and that people should be free to worship as they please without interference from the state. This view was considered heretical by the Puritan leaders of the colony, who believed that the government had a duty to enforce religious orthodoxy. As a result, Williams was banished from the colony in 1635 and went on to found the colony of Rhode Island, which became known for its commitment to religious freedom and tolerance.

What is the SAT , define it

Answers

Answer: SAT stands for :Scholastic Aptitude Test: a test taken in the U.S. to measure students' abilities before they go to college

Explanation: SAT simple definition

write a proposal of any title related to Education​

Answers

Answer:

Explanation:

Title: "Transforming Education for the Digital Age: Strategies and Best Practices"

Introduction:

The world is changing rapidly, and so is the way we learn. With the advent of new technologies, education is no longer limited to traditional classrooms and textbooks. Today, students have access to a wealth of digital resources that can enhance their learning experiences and prepare them for the challenges of the 21st century. However, the integration of technology in education is not without its challenges. Educators must navigate a complex landscape of digital tools, platforms, and best practices to ensure that technology is used effectively and responsibly in the classroom.

Proposal:

This proposal seeks to explore the various strategies and best practices that can help educators transform education for the digital age. The proposed title of the project is "Transforming Education for the Digital Age: Strategies and Best Practices." The project will involve a comprehensive review of the literature on the topic, as well as interviews with educators, researchers, and technology experts.

The main objectives of the project are:

To identify the key challenges and opportunities associated with integrating technology in education

To explore the various strategies and best practices that can help educators leverage technology to enhance student learning and engagement

To provide practical recommendations for educators, policymakers, and other stakeholders on how to navigate the complex landscape of digital tools and platforms

The project will be structured as follows:

Literature review: The project will begin with a comprehensive review of the literature on the topic. This will involve identifying key trends, challenges, and opportunities associated with integrating technology in education.

Interviews: The project will involve interviews with educators, researchers, and technology experts. These interviews will provide valuable insights into the various strategies and best practices that can help educators leverage technology to enhance student learning and engagement.

Case studies: The project will include several case studies that highlight successful examples of technology integration in education. These case studies will provide practical examples of how educators can leverage technology to enhance student learning and engagement.

Recommendations: The project will conclude with a set of practical recommendations for educators, policymakers, and other stakeholders on how to navigate the complex landscape of digital tools and platforms.

Conclusion:

The proposed project, "Transforming Education for the Digital Age: Strategies and Best Practices," seeks to explore the various strategies and best practices that can help educators transform education for the digital age. By identifying key challenges and opportunities associated with integrating technology in education, the project will provide practical recommendations for educators, policymakers, and other stakeholders on how to navigate the complex landscape of digital tools and platforms. Ultimately, the goal of the project is to help ensure that students have access to the best possible learning experiences in the digital age.

Question 18
Read this sentence: Children are influenced by violent video games.
Which one of the following statements is true?
A The underlined part is a dependent clause.
(B) The underlined part is a phrase.
The underlined part is an independent clause.
(D) The underlined part is the subject.

Answers

C) The underlined part is an independent clause.

A phrase is a group of words that act together to convey a single meaning but does not have both a subject and a predicate. A clause, on the other hand, is a group of words that contain a subject and a predicate and can express a complete thought.

A phrase is a part of a sentence and is typically used as a noun, verb, adjective, or adverb. Examples of phrases include prepositional phrases, infinitive phrases, and participial phrases.

A clause, on the other hand, can function as a sentence on its own or be part of a larger sentence. Clauses can be independent or dependent. An independent clause can stand alone as a sentence, while a dependent clause cannot.

SAT question
This question refers to 15

Choose the option that best improves the underlined portion of the sentence.

A
NO CHANGE

B
that might assume it is

C
these might assume it is

D
this might assume their

Answers

Answer: B

Explanation:

1. Respond: Would you like to travel with Gulliver? Explain
2. (a) Support: In the final paragraph of "A Voyage to Brobdingnag," how does Swift use the King's reactions to express his own hopes for humankind? (b) Assess: Do you think these hopes are valid? Wh or why not?

Answers

I would be interested in exploring different parts of the world and experiencing different cultures.

The use of reactions by Swift

Regarding the second question, in the final paragraph of "A Voyage to Brobdingnag," Swift uses the King's reactions to express his hopes for humankind.

The King expresses his disgust at the corruption and greed of the human race, and his admiration for Gulliver's honesty and simplicity. Swift's hope is that by exposing the flaws and weaknesses of humanity, we may be able to recognize and correct them.

As for the validity of these hopes, it is subjective and open to interpretation.

While some may argue that Swift's critique of humanity is overly pessimistic, others may agree with his assessment and believe that we need to address the issues he highlights.

Ultimately, whether or not these hopes are valid depends on one's perspective and beliefs about human nature.

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Assume that when adults with smartphones are randomly​ selected, 45​% use them in meetings or classes. If 30 adult smartphone users are randomly​ selected, find the probability that exactly 24 of them use their smartphones in meetings or classes.

Answers

This problem involves a binomial distribution with n = 30 trials and a success probability of p = 0.45 (using a smartphone in meetings or classes).

The probability of exactly k successes in n trials is given by the binomial probability formula:

P(k successes) = (n choose k) * p^k * (1 - p)^(n - k)

where (n choose k) is the binomial coefficient, equal to n! / (k! * (n - k)!).

Substituting n = 30, p = 0.45, and k = 24, we have:

P(24 out of 30 use smartphones in meetings/classes) = (30 choose 24) * (0.45)^24 * (0.55)^6

Using a calculator or software, we can evaluate this probability as:

P(24 out of 30 use smartphones in meetings/classes) ≈ 0.005

Therefore, the probability of exactly 24 out of 30 adult smartphone users using their smartphones in meetings or classes, when randomly selected, is approximately 0.005 or 0.5%.

Assume that when adults with smartphones are randomly​ selected, 45​% use them in meetings or classes. If 30 adult smartphone users are randomly​ selected, find the probability that exactly 24 of them use their smartphones in meetings or classes.

Answers

Answer:

P(X=12)

Explanation:

The probability of adults using smartphones during meetings or classes,

p = 0.44

The Sample size of adult smartphone users,

n = 15

The required probability is p(x=12)

The probability mass function of the binomial distribution is defined as p(x=12) (nx)px(1−p)n−x, x=0,1,2,…,n

By using the binomial probability distribution to compute the (15-12)!×12!

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