Maximum - practice problems - page 4 of 9
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 164
- The shooter
The shooter shoots at the target, assuming that the individual shots are independent of each other and the probability of hitting them is 0.2. The shooter fires until he hits the target for the first time, then stop firing. (a) What is the most likely num - Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices? - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - Straightened 26861
A Mazda van with a box body with internal dimensions of 1.6 m x 3.1 m x 1.7 m (w x d x h) with a payload of 1.7 tons delivers crates with pastries. Pastry box 520: dimensions 600mm x 400mm x 200mm (l x w x h), load capacity 15 kg. Calculate: a) How many c
- Largest wall
Find the area of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm. - Shopping malls
The chain of department stores plans to invest up to 24,000 euros in television advertising. Ads will place all commercials on a television station where the broadcast of a 30-second spot costs EUR 1,000 and is watched by 14,000 potential customers. Durin - Three-sided 24171
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - Quadrilateral 23891
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Largest squares
How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm?
- Short-circuit 22841
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Specify: source terminal voltage, the internal resistance of the source, maximum short-circuit current. - Butterflies and bees
There were 35 flowers in the garden. The butterflies were on 17 flowers. There were butterflies and bees on eight flowers. Can you find out how many flowers were only bees? Note. There was a maximum of one butterfly and a maximum of one bee on each flower - Benches 18013
There are 12 benches in the park. Four people can sit on the bench. At least two people sit on each of them. How many and most people sit on benches? - Transporting 17603
The ferry transporting people across the river has a transport area of 17mx25m. How many people can carry a maximum of 50 people per 1 person? - Oscillation 17313
The period of the natural oscillation of the railway car is 1.25s. The length of the rails is 25 m. At what speed does the vibration, caused by the impact of the wheels on the joints between the rails, reach a maximum? Give the result in m/s.
- Theoretically 15883
Pictured is a pie chart showing how the four mayoral candidates are doing after 80% of the vote has been counted. A candidate ID no can theoretically obtain the maximum percentage of votes. 3 after counting all the votes? - The bridge
A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the center of the bridge, so it does not fly - TV competition
In the competition, ten contestants answer five questions, one question per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said - The percent 2
The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5%, respectively. Suppose you have 3200 to invest and want to put twice as much in the growth fund as in the money market to maximize your return. How should you inve - Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b?
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