Basic operations and concepts - math word problems - page 311 of 319
Number of problems found: 6378
- Probability 80723
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)? - Distribute 32451
The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3cm, 4cm, 5cm, and 6cm, to two sons as fairly as possible. Design a solution so that the cubes do not have to be cut. - Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1:5. - Probability 69714
The factory produces 35% of the tiles on line A, which produces scrap with a probability of 0.02, and 65% on line B, where the probability of scrap is 0.03. What is the probability that the selected tile will be defective? - Non-conforming 19863
The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming - TV fail
After 10,000 hours, the TV has an average of 25 failures. Find the probability of TV failure after 400 hours of operation. - Length 26
The length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is:
- Cleaners
Milan would clean up the room for 2.5 hours, and Eric would take 10 hours. How long do they sweep the room together? - Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also - Family
Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children. - Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice? - Determine 55891
Determine the number of nine-digit numbers in which each of the digits 0 through 9 occurs at most once and in which the sums of the digits 1 through 3, 3 through 5, 5 through 7, and 7 to the 9th place are always equal to 10. Find the smallest and largest - Trigonometry
If you know that cos(γ) = sin (806°), what is the angle γ? - Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio.
- Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol did the pharmacy get? - Two solutions
What strong solution is created by mixing 3 liters of 30% solution and 2 liters of 70% solution? - Concentration 3098
Calculate the concentration of the solution prepared from 6 kg of 95% sulfuric acid solution and 24 kilograms of 10% sulfuric acid solution. - Performance 20233
How much percent performance improvement is needed if the work we have planned for five days has to be managed in three days? - Construction 55311
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure.
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