Numbers - math word problems - page 302 of 307
Number of problems found: 6127
- Distribution 73724
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
- Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.
- 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.
- Average 66794
Look for three numbers with an average of 2000. The middle number is 2000
- 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. )
- AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers.
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Guests - party
There are 13 guests at each other's party. How many clicks will you hear?
- Z7-I-4 stars 4949
Write instead of stars digits, so the next write of the product of the two numbers is valid: ∗ ∗ ∗ · ∗ ∗ ∗ ∗ ∗ ∗ ∗ 4 9 4 9 ∗ ∗ ∗ ∗ ∗ ∗ 4 ∗ ∗
- 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.
- Consecutive 29761
Determine three consecutive natural numbers, the sum of which is 66.
- 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?
- Cornbreads
If four and a half teaspoons of baking powder are needed to make ten servings of cornbread, how many teaspoons are needed to make 25 servings?
- PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is
- Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵
- Digit sum MO Z9-I-4
Determine whether it is possible to add a single-digit number to the number with the digit sum of 2024 so that the resulting number has the digit sum of 74.
- Roman 2
Roman thermae around the year 200 were baths equipped with underground central heating. The largest of them had a rectangular swimming pool with cold water, the bottom dimensions were 17m and 51m, the water reaches a height of 150 cm. Calculate according
- Probability 3322
We have the numbers 4, 6, 8, 10, and 12. What is the probability that with a randomly selected triangle, these will be the lengths of the sides of a scalene triangle?
- Digits
Write the smallest and largest 2-digit natural number.
- Arithmetic 40671
The number 20 is the arithmetic mean of the eight numbers. Determine their sum.
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