An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?

Name: Solved: An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6? - MathMaster
Brand: MathMaster
Rating: 4.9 (238 reviews)

238

likes

1188 views

Answer to a math question An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?

$Expert avatar$

Lurline

4.6

108 Answers

Para encontrar la probabilidad de que un número entero tomado al azar de los primeros 40 enteros positivos sea divisible por 5 o 6, primero podemos contar el número de números enteros en el rango dado que son divisibles por 5 o 6, y luego dividir ese recuento por número total de números enteros en el rango. Primero, contemos el número de números enteros en el rango de 1 a 40 que son divisibles por 5 o 6. Podemos hacerlo encontrando los múltiplos de 5 y 6 dentro de este rango. Los múltiplos de 5 en este rango son 5, 10, 15, 20, 25, 30, 35 y 40. Los múltiplos de 6 en este rango son 6, 12, 18, 24, 30 y 36. Sin embargo, necesitamos tener cuidado de no contar dos veces los múltiplos comunes de 5 y 6. Entonces, el número total de números enteros en el rango que son divisibles por 5 o 6 es 14. A continuación, calculamos la probabilidad dividiendo el número de resultados favorables (14) por el número total de resultados posibles (40). Por lo tanto, la probabilidad de que un número entero tomado al azar de los primeros 40 enteros positivos sea divisible por 5 o 6 es 14/40, lo que se simplifica a 7/20 o 0,35.

Frequently asked questions (FAQs)

Math question: What is the measure of the central angle of a circle if its intercepted arc measures 120 degrees?

Math question: Given the parabolic function y = ax^2, find the maximum or minimum point of the parabola.

What is the value of the derivative of f(x) = 2x³ - 5x² + 4x + 1 at x = 2?

New questions in Mathematics

2x-y=5 x-y=4

3(4×-1)-2(×+3)=7(×-1)+2

If f(x) = 3x 2, what is the value of x so that f(x) = 11?

what is the annual rate on $525 at 0.046% per day for 3 months?

9b^2-6b-5

2.3/-71.32

A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.