Basic operations and concepts - math word problems - page 221 of 322
Number of problems found: 6439
- Three-digit 9531
How many three-digit numbers do not change if we replace the digit in the hundreds with the digit in the units? - Probability 6559
In the first container, we have 3 white and 6 black balls. In the second container, we have 2 white and 6 black balls. We randomly transfer 1 ball from the first container to the second container. What is the probability that I then pick 2 white marbles f - Probability 3065
Natural numbers 4,5,7,11,12 are given. Calculate the probability of the event that the sum of three randomly selected numbers is less than 22. - Powerful 20773
The 300 liters per minute water starts to flow into the empty pool. We will fill the pool in 5 hours. How long would it take to fill a pool with a more powerful 750L pump per minute? - 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. Percentage of puls - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - A particle
A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t²-4t-4, t > 0. Initially, the particle is 8 meters from a fixed origin's right. After how many seconds is the particle at the origin? - They held
A 100-meter race was held at school. Peter, Jan, Andrej, Radko, and Miro advanced to the final. Peter finished either second, third, or fourth. Jan was not the winner. Andrej finished one place behind Jan. Radko did not finish in second place. Miro was tw - Dance party
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls? - A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - Number train
The numbers 1,2,3,4,5,6,7,8, and 9 traveled by train. The train had three cars, and each was carrying just three numbers. No. 1 rode in the first carriage, and in the last were all odd numbers. The conductor calculated the sum of the numbers in the first, - Bulbs and electricity
In the sports hall, 875 identical light bulbs light for 2 hours. How long do 100 such light bulbs consume the same amount of electricity? - Entrepreneurs 4509
The entrepreneur took out a business loan of 15,000 at an interest rate of 7.5% p. to start a business. a. The state subsidy for start-up entrepreneurs is 800 euros per year for three years and must be used to repay the loan. How much interest will the en - Determine 82341
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1]. - Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)? - Transformation 26961
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Determine the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. The transformation ratio is k = 4. What current - Bombastic number
We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of - Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Twenty-three-year-old 6317
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player?
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