Basic operations and concepts - math word problems - page 320 of 332
Number of problems found: 6633
- Land scale drawing
The land has a triangle shape with sides of 300 m, 200 m, and 245 m. Draw it on a scale of 1:5,000. - Equilateral triangle ABC
In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangl - Target - shooting
A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in succession, he misses only the first shot. Round the result to two decimal places. - 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 stops firing. (a) What is the most likely nu - Length 26
The length of the median of a trapezoid is 10 inches. The median divides the trapezoid into two regions whose areas are in the ratio 3:5. What is the length of the shorter base? - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Vitamin doses
Children and adults take the recommended daily dose of vitamins throughout the year. According to the package insert, the recommended daily dose for a child is half that of an adult. Two adults together consume one pack of vitamins in 30 days. How many da - Probability — test
A test contains questions with four answer options, exactly one of which is correct. To pass the exam successfully, at least half of the questions must be answered correctly. How many questions should the test contain so that the probability of a student - Cathedral roof sphere
Cathedral height is 110 m, sphere weight 6000 kg, dome diameter 43 m, crane arm length 25 m a) what was the diameter of this sphere? b) how much mechanical work had to be done to lift it to the designated place? - Scrap probability
Five hundred of the products in the series are to be inspected with a repeat check. The manufacturer guarantees 2% scrap for a given production. Determine the probability of scraps among the 500 products reviewed between 12 and 20. - The test
The test contains four questions, with five different answers to each of them, of which only one is correct, and the others are incorrect. What is the probability that a student who does not know the answer to any question will guess the right answers to - Internet anywhere
In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least six students have access to the internet - Coffee
In stock are three kinds of branded coffee with prices: I. Kind. .. .. .256 Kc/kg II. Kind. .. .. .341 Kc/kg III. Kind. .. .. 345 Kc/kg Mixing these three species in the ratio 2:3:9 creates a mixture. What will the price of 250 grams of this mixture be? - In the primary
In a primary school every year a knowledge competition is organised, in which each competitor can get at most 15 points. This year the average point achievement of the competitors, rounded to tenths, was 10.4. Jožko realised after the competition that som - Candles
Before Christmas, Eve bought two cylindrical candles—red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 PM and a green candle at 7:00 PM, leaving them on fire until they burned. At 9:30 PM, both candles were the s - Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a perimeter of 12 cm. - Hockey - game
A hockey goalkeeper has a save success rate of 93.5%. What is the probability that he keeps a clean sheet in a match when facing 25 shots? What is the probability that he concedes at most 2 goals? - Playing cards
From 32 playing cards containing eight red cards, we choose four cards. What is the probability that just two will be red? - Test
The teacher prepared a test with ten questions. The student can choose one correct answer from the four (A, B, C, D). The student did not get a written exam at all. What is the probability that: a) He answers half correctly. b) He answers all correctly. c - Pharmacist
The pharmacist had a 12 liter vessel of herbal lotion, which contained a 30% active ingredient. Her assistant poured 18 liters of herbal lotion, containing 45% of the active ingredient, into a container. What percentage of herbal lotion was produced?
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