提升可靠性的技术

Q: A juggler has 16 balls. Half of the balls are golf balls and half of the golf balls are blue. How many blue golf balls are there?
A:

There are 8 blue golf balls.

Q: A juggler has 16 balls. Half of the balls are golf balls and half of the golf balls are blue. How many blue golf balls are there?
A: Let's think step by step.

There are 16 balls in total.
Half of the balls are golf balls.
That means that there are 8 golf balls.
Half of the golf balls are blue.
That means that there are 4 blue golf balls.

Use the following clues to answer the following multiple-choice question.

Clues:
1. Miss Scarlett was the only person in the lounge.
2. The person with the pipe was in the kitchen.
3. Colonel Mustard was the only person in the observatory.
4. Professor Plum was not in the library nor the billiard room.
5. The person with the candlestick was in the observatory.

Question: Was Colonel Mustard in the observatory with the candlestick?
(a) Yes; Colonel Mustard was in the observatory with the candlestick
(b) No; Colonel Mustard was not in the observatory with the candlestick
(c) Unknown; there is not enough information to determine whether Colonel Mustard was in the observatory with the candlestick

Solution:

(c) Unknown; there is not enough information to determine whether Colonel Mustard was in the observatory with the candlestick

Use the following clues to answer the following multiple-choice question, using the following procedure:
(1) First, go through the clues one by one and consider whether the clue is potentially relevant
(2) Second, combine the relevant clues to reason out the answer to the question
(3) Third, map the answer to one of the multiple choice answers: either (a), (b), or (c)

Clues:
1. Miss Scarlett was the only person in the lounge.
2. The person with the pipe was in the kitchen.
3. Colonel Mustard was the only person in the observatory.
4. Professor Plum was not in the library nor the billiard room.
5. The person with the candlestick was in the observatory.

Question: Was Colonel Mustard in the observatory with the candlestick?
(a) Yes; Colonel Mustard was in the observatory with the candlestick
(b) No; Colonel Mustard was not in the observatory with the candlestick
(c) Unknown; there is not enough information to determine whether Colonel Mustard was in the observatory with the candlestick

Solution:
(1) First, go through the clues one by one and consider whether the clue is potentially relevant:

Clue 1: Miss Scarlett was the only person in the lounge. This clue is not relevant.
Clue 2: The person with the pipe was in the kitchen. This clue is not relevant.
Clue 3: Colonel Mustard was the only person in the observatory. This clue is relevant.
Clue 4: Professor Plum was not in the library nor the billiard room. This clue is not relevant.
Clue 5: The person with the candlestick was in the observatory. This clue is relevant.

(2) Second, combine the relevant clues to reason out the answer to the question:
Clue 3 and Clue 5 both say that the person with the candlestick was in the observatory. Colonel Mustard was the only person in the observatory, so Colonel Mustard was the person with the candlestick.

(3) Third, write the final answer:
(a) Yes; Colonel Mustard was in the observatory with the candlestick

Summarize the text using the original language of the text. The summary should be one sentence long.

Text:
"""
La estadística (la forma femenina del término alemán Statistik, derivado a su vez del italiano statista, "hombre de Estado")​ es una ciencia que estudia la variabilidad, colección, organización, análisis, interpretación, y presentación de los datos, así como el proceso aleatorio que los genera siguiendo las leyes de la probabilidad.​ La estadística es una ciencia formal deductiva, con un conocimiento propio, dinámico y en continuo desarrollo obtenido a través del método científico formal. En ocasiones, las ciencias fácticas necesitan utilizar técnicas estadísticas durante su proceso de investigación factual, con el fin de obtener nuevos conocimientos basados en la experimentación y en la observación. En estos casos, la aplicación de la estadística permite el análisis de datos provenientes de una muestra representativa, que busca explicar las correlaciones y dependencias de un fenómeno físico o natural, de ocurrencia en forma aleatoria o condicional.
"""

Summary:

The text explains that statistics is a science that studies the variability, collection, organization, analysis, interpretation, and presentation of data, as well as the random process that generates them following the laws of probability.

First, identify the language of the text. Second, summarize the text using the original language of the text. The summary should be one sentence long.

Text:
"""
La estadística (la forma femenina del término alemán Statistik, derivado a su vez del italiano statista, "hombre de Estado")​ es una ciencia que estudia la variabilidad, colección, organización, análisis, interpretación, y presentación de los datos, así como el proceso aleatorio que los genera siguiendo las leyes de la probabilidad.​ La estadística es una ciencia formal deductiva, con un conocimiento propio, dinámico y en continuo desarrollo obtenido a través del método científico formal. En ocasiones, las ciencias fácticas necesitan utilizar técnicas estadísticas durante su proceso de investigación factual, con el fin de obtener nuevos conocimientos basados en la experimentación y en la observación. En estos casos, la aplicación de la estadística permite el análisis de datos provenientes de una muestra representativa, que busca explicar las correlaciones y dependencias de un fenómeno físico o natural, de ocurrencia en forma aleatoria o condicional.
"""

Language:

Spanish

La estadística es una ciencia que estudia la variabilidad, colección, organización, análisis, interpretación, y presentación de los datos, así como el proceso aleatorio que los genera siguiendo las leyes de la probabilidad.

Using the IRS guidance below, answer the following questions using this format:
(1) For each criterion, determine whether it is met by the vehicle purchase
- {Criterion} Let's think step by step. {explanation} {yes or no, or if the question does not apply then N/A}.
(2) After considering each criterion in turn, phrase the final answer as "Because of {reasons}, the answer is likely {yes or no}."

IRS guidance:
"""
You may be eligible for a federal tax credit under Section 30D if you purchased a car or truck that meets the following criteria:
- Does the vehicle have at least four wheels?
- Does the vehicle weigh less than 14,000 pounds?
- Does the vehicle draw energy from a battery with at least 4 kilowatt hours that may be recharged from an external source?
- Was the vehicle purchased in a year before 2022?
  - If so, has the manufacturer sold less than 200,000 qualifying vehicles? (Tesla and GM have sold more than 200,000 qualifying vehicles.)
- Was the vehicle purchased in a year after 2022?
  - If so, is the vehicle present in the following list of North American-assembled vehicles? (The only electric vehicles assembled in North America are the Audi Q5, BMW 330e, BMW X5, Chevrolet Bolt EUV, Chevrolet Bolt EV, Chrysler Pacifica PHEV, Ford Escape PHEV, Ford F Series, Ford Mustang MACH E, Ford Transit Van, GMC Hummer Pickup, GMC Hummer SUV, Jeep Grand Cherokee PHEV, Jeep Wrangler PHEV, Lincoln Aviator PHEV, Lincoln Corsair Plug-in, Lucid Air, Nissan Leaf, Rivian EDV, Rivian R1S, Rivian R1T, Tesla Model 3, Tesla Model S, Tesla Model X, Tesla Model Y, Volvo S60, BMW 330e, Bolt EV, Cadillac Lyriq, Mercedes EQS SUV, and Nissan Leaf.)
"""

Question: Can I claim a federal tax credit for my Toyota Prius Prime bought in 2021?

Solution:

(1) For each criterion, determine whether it is met by the vehicle purchase
- Does the vehicle have at least four wheels? Let's think step by step.

 The Toyota Prius Prime has four wheels, so the answer is yes.
- Does the vehicle weigh less than 14,000 pounds? Let's think step by step. The Toyota Prius Prime weighs less than 14,000 pounds, so the answer is yes.
- Does the vehicle draw energy from a battery with at least 4 kilowatt hours that may be recharged from an external source? Let's think step by step. The Toyota Prius Prime has a battery with at least 4 kilowatt hours that may be recharged from an external source, so the answer is yes.
- Was the vehicle purchased in a year before 2022? Let's think step by step. The Toyota Prius Prime was purchased in 2021, which is before 2022, so the answer is yes.
- Was the vehicle purchased in a year after 2022? N/A
- If so, is the vehicle present in the following list of North American-assembled vehicles? N/A

(2) After considering each criterion in turn, phrase the final answer as "Because of {reasons}, the answer is likely {yes or no}."

Because the Toyota Prius Prime meets all of the criteria for a federal tax credit, the answer is likely yes.