Numbers - math word problems - page 307 of 312
Number of problems found: 6223
- Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice? - Random variable distribution
The distribution of the random variable X is given in the following table. Calculate P[X is odd], E[X] and P[1<X≤6] Probability distribution table: xi; 1; 2; 3 ; 4; 5; 6; 7; 8; 9 pi; 0.30; 0.12; 0.18; 0.10; 0.07; 0.07; 0.06; 0.05; 0.05 - Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - Census pyramid
Walter added five different prime numbers to the top row of the census pyramid. Their sum was 50. What was the biggest number he could get "down"? - Workers
The first worker can complete a job in 40 hours, the second in 50 hours, and the third in 80 hours. How long will it take them to complete the job if they all work together? - Two pumps together
The first pump will fill the tank itself in 3 hours and the second one in 6 hours. How many hours will the tank be full if both pumps are worked simultaneously? - Multiple-choice
A multiple-choice test consists of 4 questions. Each question has three different answers, with only one being correct. A student answers each question randomly. Determine the expected number of correct answers the student gets. - Number arithmetic mean
The number 20 is the arithmetic mean of the eight numbers. Determine their sum. - Consecutive natural numbers
Determine three consecutive natural numbers, the sum of which is 66. - Five numbers in ratio
Five integers are in the ratio 1:2:3:4:5. Their arithmetic mean is 12. Determine the smallest of these numbers. - Two rooms
If a woman cleans the room in 30 minutes and a man in 90 minutes, how long will it take them to clean two rooms? - Harmonic mean If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5.
- Together
Grandfather, father, and son are carpenters. They decided to make a wardrobe. Father produces it for 12 hours, his son for 15 hours, and grandfather for 10 hours. How long will they make it together? - Testing 5
Viktória has many T-shirts - 3 white, 1 yellow, 3 blue, 2 green, 4 pink, 1 black, 2 orange. Which of the following statements is true? A: It is equally probable that Viktória will put on a white T-shirt as a pink T-shirt. B: It is more probable that Viktó - Bricks pyramid
How many 50 cm x 32 cm x 30 cm bricks are needed to build a 272 m x 272 m x 278 m pyramid? - Soldier
An experienced soldier digs a good trench in 30 hours. Two soldiers dug the same trench every 40 hours. How many hours will the ditch dig all three together? - Rectangles
How many rectangles with an area of 8855 cm² have sides that are natural numbers? - A bag 4
A bag contains 18 balls that differ only in colour: 11 are blue and 7 are red. Two balls are picked one after the other without replacement. Find the probability that both are: (i) blue, (ii) the same colour, (iii) different colours. - Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Two-digit number creation
How many natural two-digit numbers can we form from the digits 0, 1, 2, and 3 if the numerals cannot be repeated in these numbers?
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