MathMaster logo

MathMaster

  1. Home
  2. general
  3. an integer is taken at random from the first 40 positive integers what is the probability that the integer is divisible by
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?

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
104 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)
Question: In a right triangle, if the angle of elevation to the top of a tree is 45 degrees and the distance from the observer to the base of the tree is 20 meters, find the height of the tree.
+
What is the radius of a circle function defined by the equation x^2 + y^2 = 9?
+
What is the value of cos(3π/4) - sin(π/3)?
+
New questions in Mathematics
5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight
Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.
(x^2+3x)/(x^2-9)=
Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?
What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..
X^2 = 25
A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.
2x-4y=-6; -4y+4y=-8
Sean must chose a 6- digit PIN number for his online banking account.Each digit can be chosen from 0 to 9. How many different possible PIN numbers can sean chose.
is the x element (180,270), if tanx-3cotx=2, sinx ?
Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)
. What will be the osmotic pressure of a solution that was prepared at 91°F by dissolving 534 grams of aluminum hydroxide in enough water to generate 2.784 ml of solution.
How to do 15 x 3304
Three machines called A, B and C, produce 43%, 26% and 31% of the total production of a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product manufactured by these machines is defective. a) What is the probability that a product is not defective? b) A product is selected at random and found to be defective, what is the probability that it was manufactured on machine B?
nI Exercises 65-68, the latitudes of a pair of cities are given. Assume that one city si directly south of the other and that the earth is a perfect sphere of radius 4000 miles. Use the arc length formula in terms of degrees to find the distance between the two cities. 65. The North Pole: latitude 90° north Springfield, Illinois: latitude 40° north
To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;
Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.
Define excel and why we use it?
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?

You might be interested in