Questões

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Questão 11Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
Língua InglesaCompreensão de texto
Ler o texto de apoio

Robots, the next generation of soccer players

If you think a robot will steal your job, you are not alone. Soccer players should be worried too. The next Messi probably won’t be of flesh and blood but plastic and metal. The concept emerged during the conference “Workshop on grand challenges in artificial intelligence,” held in Tokyo in 1992, and independently, in 1993, when Professor Alan Mackworth from the University of Bristol in Canada described an experiment with small soccer players in a scientific article. Over 40 teams already participated in the first RoboCup tournament in 1997, and the competition is held every year. The RoboCup Federation wants to play and win a game against a real-world cup humans’ team by 2050. The idea behind artificially intelligent players is to investigate how robots perceive motion and communicate with each other. Physical abilities like walking, running, and kicking the ball while maintaining balance are crucial to improving robots for other tasks like rescue, home, industry, and education. Designing robots for sports requires much more than experts in state-of-the-art technology. Humans and machines do not share the same skills. Engineers need to impose limitations on soccer robots to imitate soccer players as much as possible and ensure following the game’s rules. RoboCup Soccer Federation, the “FIFA” of robots, which supports five leagues, imposes restrictions on players’ design and rules of the game. Each has its own robot design and game rules to give room for different scientific goals. The number of players, their size, the ball type, and the field dimensions are different for each league. In the humanoid league the players are humanlike robots with human-like senses. However, they are rather slow. Many of the skills needed to fully recreate actual soccer player movements are still in the early stages of research. The game becomes exciting for middle and small size leagues. The models are much simpler; they are just boxes with a cyclopean eye. Their design focuses on team behavior: recognizing an opponent, cooperating with team members, receiving and giving a standard FIFA size ball. Today, soccer robots are entirely autonomous. They wireless “talk” to each other, make decisions regarding strategy in real-time, replace an “injured” player, and shoot goals. The only person in a RoboCup game is the referee. The team coaches are engineers in charge of training the RoboCups’ artificial intelligence for fair play: the robots don’t smash against each other or pull their shirts.

The next RoboCup competition will soon be played, virtually, with rules that will allow teams to participate without establishing physical contact.

Available at:https://www.ua-magazine.com/2021/05/12/robots-the-next-generation-of-soccer-players. Retrieved on: July 4th, 2021. Adapted.

According to the second paragraph, the concept of robotic soccer players emerged

Questão 12Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
Língua InglesaVocabulário e referência
Ler o texto de apoio

Robots, the next generation of soccer players

If you think a robot will steal your job, you are not alone. Soccer players should be worried too. The next Messi probably won’t be of flesh and blood but plastic and metal. The concept emerged during the conference “Workshop on grand challenges in artificial intelligence,” held in Tokyo in 1992, and independently, in 1993, when Professor Alan Mackworth from the University of Bristol in Canada described an experiment with small soccer players in a scientific article. Over 40 teams already participated in the first RoboCup tournament in 1997, and the competition is held every year. The RoboCup Federation wants to play and win a game against a real-world cup humans’ team by 2050. The idea behind artificially intelligent players is to investigate how robots perceive motion and communicate with each other. Physical abilities like walking, running, and kicking the ball while maintaining balance are crucial to improving robots for other tasks like rescue, home, industry, and education. Designing robots for sports requires much more than experts in state-of-the-art technology. Humans and machines do not share the same skills. Engineers need to impose limitations on soccer robots to imitate soccer players as much as possible and ensure following the game’s rules. RoboCup Soccer Federation, the “FIFA” of robots, which supports five leagues, imposes restrictions on players’ design and rules of the game. Each has its own robot design and game rules to give room for different scientific goals. The number of players, their size, the ball type, and the field dimensions are different for each league. In the humanoid league the players are humanlike robots with human-like senses. However, they are rather slow. Many of the skills needed to fully recreate actual soccer player movements are still in the early stages of research. The game becomes exciting for middle and small size leagues. The models are much simpler; they are just boxes with a cyclopean eye. Their design focuses on team behavior: recognizing an opponent, cooperating with team members, receiving and giving a standard FIFA size ball. Today, soccer robots are entirely autonomous. They wireless “talk” to each other, make decisions regarding strategy in real-time, replace an “injured” player, and shoot goals. The only person in a RoboCup game is the referee. The team coaches are engineers in charge of training the RoboCups’ artificial intelligence for fair play: the robots don’t smash against each other or pull their shirts.

The next RoboCup competition will soon be played, virtually, with rules that will allow teams to participate without establishing physical contact.

Available at:https://www.ua-magazine.com/2021/05/12/robots-the-next-generation-of-soccer-players. Retrieved on: July 4th, 2021. Adapted.

In the sentence fragment of the fifth paragraph “Designing robots for sports requires much more than experts in state-of-the-art technology”, the words in bold can be replaced, without any change in meaning, by the following words:

Questão 13Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
Língua InglesaVocabulário e referência
Ler o texto de apoio

Robots, the next generation of soccer players

If you think a robot will steal your job, you are not alone. Soccer players should be worried too. The next Messi probably won’t be of flesh and blood but plastic and metal. The concept emerged during the conference “Workshop on grand challenges in artificial intelligence,” held in Tokyo in 1992, and independently, in 1993, when Professor Alan Mackworth from the University of Bristol in Canada described an experiment with small soccer players in a scientific article. Over 40 teams already participated in the first RoboCup tournament in 1997, and the competition is held every year. The RoboCup Federation wants to play and win a game against a real-world cup humans’ team by 2050. The idea behind artificially intelligent players is to investigate how robots perceive motion and communicate with each other. Physical abilities like walking, running, and kicking the ball while maintaining balance are crucial to improving robots for other tasks like rescue, home, industry, and education. Designing robots for sports requires much more than experts in state-of-the-art technology. Humans and machines do not share the same skills. Engineers need to impose limitations on soccer robots to imitate soccer players as much as possible and ensure following the game’s rules. RoboCup Soccer Federation, the “FIFA” of robots, which supports five leagues, imposes restrictions on players’ design and rules of the game. Each has its own robot design and game rules to give room for different scientific goals. The number of players, their size, the ball type, and the field dimensions are different for each league. In the humanoid league the players are humanlike robots with human-like senses. However, they are rather slow. Many of the skills needed to fully recreate actual soccer player movements are still in the early stages of research. The game becomes exciting for middle and small size leagues. The models are much simpler; they are just boxes with a cyclopean eye. Their design focuses on team behavior: recognizing an opponent, cooperating with team members, receiving and giving a standard FIFA size ball. Today, soccer robots are entirely autonomous. They wireless “talk” to each other, make decisions regarding strategy in real-time, replace an “injured” player, and shoot goals. The only person in a RoboCup game is the referee. The team coaches are engineers in charge of training the RoboCups’ artificial intelligence for fair play: the robots don’t smash against each other or pull their shirts.

The next RoboCup competition will soon be played, virtually, with rules that will allow teams to participate without establishing physical contact.

Available at:https://www.ua-magazine.com/2021/05/12/robots-the-next-generation-of-soccer-players. Retrieved on: July 4th, 2021. Adapted.

In the text fragment of the sixth paragraph “RoboCup Soccer Federation, the “FIFA” of robots, which supports five leagues, imposes restrictions on players’ design and rules of the game”, the word which refers to

Questão 14Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
Língua InglesaVocabulário e referência
Ler o texto de apoio

Robots, the next generation of soccer players

If you think a robot will steal your job, you are not alone. Soccer players should be worried too. The next Messi probably won’t be of flesh and blood but plastic and metal. The concept emerged during the conference “Workshop on grand challenges in artificial intelligence,” held in Tokyo in 1992, and independently, in 1993, when Professor Alan Mackworth from the University of Bristol in Canada described an experiment with small soccer players in a scientific article. Over 40 teams already participated in the first RoboCup tournament in 1997, and the competition is held every year. The RoboCup Federation wants to play and win a game against a real-world cup humans’ team by 2050. The idea behind artificially intelligent players is to investigate how robots perceive motion and communicate with each other. Physical abilities like walking, running, and kicking the ball while maintaining balance are crucial to improving robots for other tasks like rescue, home, industry, and education. Designing robots for sports requires much more than experts in state-of-the-art technology. Humans and machines do not share the same skills. Engineers need to impose limitations on soccer robots to imitate soccer players as much as possible and ensure following the game’s rules. RoboCup Soccer Federation, the “FIFA” of robots, which supports five leagues, imposes restrictions on players’ design and rules of the game. Each has its own robot design and game rules to give room for different scientific goals. The number of players, their size, the ball type, and the field dimensions are different for each league. In the humanoid league the players are humanlike robots with human-like senses. However, they are rather slow. Many of the skills needed to fully recreate actual soccer player movements are still in the early stages of research. The game becomes exciting for middle and small size leagues. The models are much simpler; they are just boxes with a cyclopean eye. Their design focuses on team behavior: recognizing an opponent, cooperating with team members, receiving and giving a standard FIFA size ball. Today, soccer robots are entirely autonomous. They wireless “talk” to each other, make decisions regarding strategy in real-time, replace an “injured” player, and shoot goals. The only person in a RoboCup game is the referee. The team coaches are engineers in charge of training the RoboCups’ artificial intelligence for fair play: the robots don’t smash against each other or pull their shirts.

The next RoboCup competition will soon be played, virtually, with rules that will allow teams to participate without establishing physical contact.

Available at:https://www.ua-magazine.com/2021/05/12/robots-the-next-generation-of-soccer-players. Retrieved on: July 4th, 2021. Adapted.

In paragraph 7, the word However in the fragment “In the humanoid league, the players are human-like robots with human-like senses. However, they are rather slow” can be replaced, without change in meaning, by

Questão 15Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
Língua InglesaCompreensão de texto
Ler o texto de apoio

Robots, the next generation of soccer players

If you think a robot will steal your job, you are not alone. Soccer players should be worried too. The next Messi probably won’t be of flesh and blood but plastic and metal. The concept emerged during the conference “Workshop on grand challenges in artificial intelligence,” held in Tokyo in 1992, and independently, in 1993, when Professor Alan Mackworth from the University of Bristol in Canada described an experiment with small soccer players in a scientific article. Over 40 teams already participated in the first RoboCup tournament in 1997, and the competition is held every year. The RoboCup Federation wants to play and win a game against a real-world cup humans’ team by 2050. The idea behind artificially intelligent players is to investigate how robots perceive motion and communicate with each other. Physical abilities like walking, running, and kicking the ball while maintaining balance are crucial to improving robots for other tasks like rescue, home, industry, and education. Designing robots for sports requires much more than experts in state-of-the-art technology. Humans and machines do not share the same skills. Engineers need to impose limitations on soccer robots to imitate soccer players as much as possible and ensure following the game’s rules. RoboCup Soccer Federation, the “FIFA” of robots, which supports five leagues, imposes restrictions on players’ design and rules of the game. Each has its own robot design and game rules to give room for different scientific goals. The number of players, their size, the ball type, and the field dimensions are different for each league. In the humanoid league the players are humanlike robots with human-like senses. However, they are rather slow. Many of the skills needed to fully recreate actual soccer player movements are still in the early stages of research. The game becomes exciting for middle and small size leagues. The models are much simpler; they are just boxes with a cyclopean eye. Their design focuses on team behavior: recognizing an opponent, cooperating with team members, receiving and giving a standard FIFA size ball. Today, soccer robots are entirely autonomous. They wireless “talk” to each other, make decisions regarding strategy in real-time, replace an “injured” player, and shoot goals. The only person in a RoboCup game is the referee. The team coaches are engineers in charge of training the RoboCups’ artificial intelligence for fair play: the robots don’t smash against each other or pull their shirts.

The next RoboCup competition will soon be played, virtually, with rules that will allow teams to participate without establishing physical contact.

Available at:https://www.ua-magazine.com/2021/05/12/robots-the-next-generation-of-soccer-players. Retrieved on: July 4th, 2021. Adapted.

In paragraph 9, there is the information that in RoboCup competitions the game referee and the team coaches are

Questão 16Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
MatemáticaConjuntos

Antes de iniciar uma campanha publicitária, um banco fez uma pesquisa, entrevistando 1000 de seus clientes, sobre a intenção de adesão aos seus dois novos produtos. Dos clientes entrevistados, 430 disseram que não tinham interesse em nenhum dos dois produtos, 270 mostraram-se interessados no primeiro produto, e 400 mostraram-se interessados no segundo produto.

Qual a porcentagem do total de clientes entrevistados que se mostrou interessada em ambos os produtos?

Questão 17Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
MatemáticaSequências

A sequência de Fibonacci é bastante utilizada para exemplificar sequências definidas por recorrência, ou seja, sequências em que se pode determinar um termo a partir do conhecimento de termos anteriores. No caso da sequência de Fibonacci, escreve-se que Tn+2 = Tn+1 + Tn e, desse modo, pode-se obter um termo qualquer conhecendo-se os dois termos anteriores.

Considerando o exposto acima, determine o termo T2021 da sequência de Fibonacci, sabendo que T2018 = m e T2020 = p.

Questão 18Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
MatemáticaFunções

J modelou um problema de matemática por uma função exponencial do tipo a(x)=1000ekx, e L, trabalhando no

mesmo problema, chegou à modelagem b(x)=102x+3.

Considerando-se que ambos modelaram o problema corretamente, e que ln x = logex, qual o valor de k?

Questão 19Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
MatemáticaFunções

O método da bisseção é um algoritmo usado para encontrar aproximações das raízes de uma equação. Começa-se com um intervalo [a,b], que contém uma raiz, e, em cada passo do algoritmo, reduz-se o intervalo pela metade, usando-se um teorema para determinar se a raiz está à esquerda ou à direita do ponto médio do intervalo anterior. Ou seja, após o passo 1, obtém-se um intervalo de comprimento (b − a)/2; após o passo 2, obtém-se um intervalo de comprimento (b − a)/4; e após o passo n, obtém-se um intervalo de comprimento (b − a)/2n. Esse processo continua até que o intervalo obtido tenha comprimento menor que o erro máximo desejado para a aproximação.

Para aplicar esse método no intervalo [1,5], quantos passos serão necessários para obter-se um intervalo de comprimento menor que 10−3?

Questão 20Cesgranrio · 2021 · Banco do BrasilEscriturário - Agente Comercial
MatemáticaSistemas lineares

Uma loja vende um produto em dois tipos de embalagem: unitária (com uma unidade do produto) e dupla (com duas unidades do produto). Em certo mês, foram vendidas 16 embalagens duplas e 20 unitárias, gerando uma receita para a loja de R$ 488,00. No mês seguinte, foram vendidas 30 embalagens duplas e 25 unitárias, gerando uma receita de R$ 790,00.

Qual foi a porcentagem do desconto dado em cada unidade do produto ao se comprar a embalagem dupla?