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)

What is the speed of a car traveling a distance of 150km in 2 hours?

Question: What is the derivative of f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 2?

Math question: Find the mean, mode, median, range, and average of the following dataset: 4, 7, 2, 2, 5, 9, 4.

New questions in Mathematics

Evaluate limx→∞tan−1(x) using that y=tan−1(x) exactly when x=tan(y) . (Hint: Both tan and tan−1 are continuous!)

Determine the absolute extrema of the function 𝑓(𝑥)=𝑥3−18𝑥2 96𝑥 , on the interval [1,10]

We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?

Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.

User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval

Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.

In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be: