Basic operations and concepts - math word problems - page 310 of 324
Number of problems found: 6465
- Profit distribution workers
We have a profit of 40000e, and the work took 30 days. The first worker is promised 38% of the profit but only works for 15 days, the second worker is promised 33% of the profit and works for 20 days, and the third is promised 28% of the profit and works - Flu probability
In the monitored group of people, 8% are ill with the flu. One hundred people from this group were examined. What is the probability that at most 5 of them will be sick with the flu? (round to 3 decimal places) - Component fail
There is a 90 percent chance that a particular type of component will perform adequately under high-temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because precisely one of t - Tank Fill Drain Time
The tank holds 140 liters of water. It is filled with a tap in 5 minutes, and the drain is emptied in 7 minutes. How long will it take for the empty tank to fill if we open the faucet and drain it? - Cyclists meeting
Two cyclists will set off simultaneously from one place on the circular cycling track. How long before they meet? Do you know that Charles will drive in 6 minutes and Laco in 10 minutes? - Dimensions - pool
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - Block cover fabric
The teacher decided to sew covers for the eight-seat blocks in the school library. All cubes are cube-shaped with an edge 40 cm long. How many m² of fabric will the teacher need in total if the blocks are not lined from the bottom, and 5% must be added fo - Freezer
The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, and 30 cm. A layer of ice 23 mm thick was formed on the freezer's inner walls (and on the opening). How many liters of water will drain if we dispose of the freezer? - Pool plan scale A 16 m² swimming pool has an area of 1 m² on the city plan. What is the scale of the city plan?
- Average speed
The first third of the track was driven by a car at a speed of 15 km/h, the second third at a speed of 30 km/h, and the last third at a speed of 90 km/h. Find the average speed of the car. - Colorado
The state of Colorado is a rectangle. The map is sold on two posters. The first has 70 cm and 50 cm dimensions on a scale of 1:1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster? - Four-digit - sum
A four-digit number has a digit sum of 20. The sum of its last two digits equals the second digit increased by 5. The sum of the first and last digits equals the second digit decreased by 3. If we write the digits of this number in reverse order, the numb - Harvesters
The first harvester will harvest the grain from the field in 20 hours, and the second, the more powerful, will harvest it in 10 hours. How long will it take for both harvesters to harvest this field if the second harvester has to be set up first, which ta - Average age
The average age of all people at the celebration was equal to the number of people present. After the departure of one person who was 29 years old, the average age was again equal to the number present. How many people were originally at the celebration? - Tractors
Two tractors with different capacities are to plough a field. The first tractor can plough the entire field in 14 hours. The second tractor can plough the entire field 8 hours déle. How long does it take both tractors to plough the entire field working to - School reward
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school? - Biathlete shooting probability
According to long-term statistics, a biathlete has a shooting success rate of 72%. a) what is the probability that 4 targets will be hit on one item (5 shots). b) what is the probability that fewer than 4 targets are hit on one item (5 shots)? - Cardboard - boxes
The closed cardboard box has the shape of a block measuring 25 cm, 1.2 dm, and 0.5 m. How much cardboard is needed to make 20 such boxes? You need to add 5% to bends. - Side effect probability
The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%? - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB|. Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4.
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