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Servicio al cliente1
Este documento habla sobre el servicio al cliente. Explica que el servicio es el resultado de la interacción entre el proveedor y el cliente para satisfacer las necesidades del cliente. Describe los momentos de verdad como puntos críticos de contacto con el cliente y la importancia de manejarlos efectivamente. También enfatiza la necesidad de escuchar al cliente a través de investigaciones y entrevistas para mejorar continuamente el servicio.
Deep dive into spark streaming
Deep dive into spark streaming, topics include:
1. Spark Streaming Introduction
2. Computing Model in Spark Streaming
3. System Model & Architecture
4. Fault-tolerance, Check pointing
5. Comb on Spark Streaming
Many relatively prime numbers
There are 180 positive integers less than or equal to 297 that are relatively prime to 297. To calculate this, the problem breaks down the numbers into those that are multiples of 11, 3, and 33 (the prime factors of 297) and uses the inclusion-exclusion principle to account for overlapping multiples. It finds there are 27 multiples of 11, 99 multiples of 3, and 9 multiples of 33, and subtracting the overlapping ones gives the total of 180 numbers relatively prime to 297.
Recommended
Servicio al cliente1
Este documento habla sobre el servicio al cliente. Explica que el servicio es el resultado de la interacción entre el proveedor y el cliente para satisfacer las necesidades del cliente. Describe los momentos de verdad como puntos críticos de contacto con el cliente y la importancia de manejarlos efectivamente. También enfatiza la necesidad de escuchar al cliente a través de investigaciones y entrevistas para mejorar continuamente el servicio.
Deep dive into spark streaming
Deep dive into spark streaming, topics include:
1. Spark Streaming Introduction
2. Computing Model in Spark Streaming
3. System Model & Architecture
4. Fault-tolerance, Check pointing
5. Comb on Spark Streaming
Many relatively prime numbers
There are 180 positive integers less than or equal to 297 that are relatively prime to 297. To calculate this, the problem breaks down the numbers into those that are multiples of 11, 3, and 33 (the prime factors of 297) and uses the inclusion-exclusion principle to account for overlapping multiples. It finds there are 27 multiples of 11, 99 multiples of 3, and 9 multiples of 33, and subtracting the overlapping ones gives the total of 180 numbers relatively prime to 297.
Always 5 left
The document discusses finding the smallest positive integer x that leaves a remainder of 5 when divided by 14, 8, or 77. It is explained that x must be the least common multiple (LCM) of 14, 8, and 77. The LCM of 14, 8, and 77 is calculated to be 616. Therefore, the smallest possible value of x is 616 + 5 = 621.
The digits
The problem states that the product of the digits of a two-digit number exceeds their sum by 39, and reversing the digits increases the number by 27. By representing the digits with variables x and y, two equations are formed and solved using algebra to obtain x=6 and y=9, so the number is 69.
The perimeter of a right triangle is 120cm
The perimeter of a right triangle is given as 120cm. The ratio of its three sides is 1.2:2:1.6, which can be rewritten as 30:50:40. Since the circumference is 120cm, the three sides are 30cm, 50cm, and 40cm. The area of the right triangle is then calculated as 30 * 40 / 2 = 600cm^2.
The digits
The problem states that the product of the digits of a two-digit number exceeds their sum by 39, and reversing the digits increases the number by 27. By representing the digits with variables x and y, two equations are formed and solved using algebraic manipulation to obtain the quadratic equation (x+7)(x-6)=0, determining that the number is 69.
Triangle in a square
The document is a geometry problem about a square ABCD with a point E located inside such that ABE forms an equilateral triangle. The question asks for the measure of angle CBE. The solution shows that since ABC is a right angle and ABE is 60 degrees, CBE must be 30 degrees using angle chasing and properties of regular polygons.
A prime quadratic
The document discusses finding the sum of all positive prime numbers x such that x + 2x^2 is also prime. It determines that the only number satisfying these conditions is x = 3, and provides the working to explain why no other values of x are possible.
A reservoir with five channels
The document describes a problem involving five channels that fill a reservoir at different rates. The first channel fills the reservoir in 1/3 of a day, the second in 1 day, and the third, fourth, and fifth in 5/2, 3, and 5 days respectively. Working together, the channels fill the reservoir in a/b days, where a and b are coprime positive integers. The problem asks to find the value of a + b.
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Always 5 left
The document discusses finding the smallest positive integer x that leaves a remainder of 5 when divided by 14, 8, or 77. It is explained that x must be the least common multiple (LCM) of 14, 8, and 77. The LCM of 14, 8, and 77 is calculated to be 616. Therefore, the smallest possible value of x is 616 + 5 = 621.
The digits
The problem states that the product of the digits of a two-digit number exceeds their sum by 39, and reversing the digits increases the number by 27. By representing the digits with variables x and y, two equations are formed and solved using algebra to obtain x=6 and y=9, so the number is 69.
The perimeter of a right triangle is 120cm
The perimeter of a right triangle is given as 120cm. The ratio of its three sides is 1.2:2:1.6, which can be rewritten as 30:50:40. Since the circumference is 120cm, the three sides are 30cm, 50cm, and 40cm. The area of the right triangle is then calculated as 30 * 40 / 2 = 600cm^2.
The digits
The problem states that the product of the digits of a two-digit number exceeds their sum by 39, and reversing the digits increases the number by 27. By representing the digits with variables x and y, two equations are formed and solved using algebraic manipulation to obtain the quadratic equation (x+7)(x-6)=0, determining that the number is 69.
Triangle in a square
The document is a geometry problem about a square ABCD with a point E located inside such that ABE forms an equilateral triangle. The question asks for the measure of angle CBE. The solution shows that since ABC is a right angle and ABE is 60 degrees, CBE must be 30 degrees using angle chasing and properties of regular polygons.
A prime quadratic
The document discusses finding the sum of all positive prime numbers x such that x + 2x^2 is also prime. It determines that the only number satisfying these conditions is x = 3, and provides the working to explain why no other values of x are possible.
A reservoir with five channels
The document describes a problem involving five channels that fill a reservoir at different rates. The first channel fills the reservoir in 1/3 of a day, the second in 1 day, and the third, fourth, and fifth in 5/2, 3, and 5 days respectively. Working together, the channels fill the reservoir in a/b days, where a and b are coprime positive integers. The problem asks to find the value of a + b.