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

107 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)

What is the length of a side of a square if its area is 25 square units?

What is the equation of the hyperbola with a center at (3, -4), vertices at (3, -2) and (3, -6), and an eccentricity of 2?

What is the derivative of f(gx) with respect to x using the Chain Rule?

New questions in Mathematics

Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps

One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?

String x = 5 Int y=2 System.out.println(x+y)

"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.

There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?

Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.

How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.