Basic operations and concepts - math word problems - page 27 of 322

Number of problems found: 6438

Drunken drivers
40% of drivers driving between 11 pm and 5 am are drunken drivers. In a random sample of 20 drivers driving between 11 pm and 5 am, find the probability that: A) Exactly 12 will be drunken drivers B) At least 7 will be drunken drivers C) At most 5 will be
One hour
If a pipe can fill a tank in 5 h and another pipe can empty the tank in 10 h, if both pipes are opened simultaneously, how many parts are filled in 1 hour?
A random 2
A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month.
The mixture
If a 6-liter solution with a concentration of 20% alcohol is mixed with a 4-liter solution with a 60% concentration of alcohol. Find the percentage of alcohol in the mixture.
Two masons
Mason A can build a wall in 30 days, while mason B can build it in 40 days. If they build it together and get a payment of USD 7000, what is B's share?
A piece of work
12 men or 18 women can do a piece of work in 14 days, then how long 8 men and 16 women take to finish the work?
Defect rate
A manufacturing machine has a 3% defect rate. If 9 items are chosen randomly, what is the probability that at least one will have a defect?
A disease
A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people?
Goalkeeper - success rate
Calculate the success rate of a hockey goalie who saved 30 out of 32 shots at his goal during a match.
Meat 5
2.4 kg of meat costs 292 CZK in the store. How much meat of the same type can I buy here for 2482 CZK?
Branded
Branded sneakers are now selling for 2394 CZK. The seller reduced the original price by 5%. He reduced the new price by another 10%. What was the original price? How much was the total discount? How much of the original price is 21% VAT?
Gross
The gross weight of meat in grams is 83. What is the gross weight of meat increased by 30% in grams? How is it calculated?
Worker 8
The worker has a work standard of 15 products in 8 hours, he produced them in 6.5 hours. By what % did he fulfill the plan?
Peter 28
Peter bought shares of a foreign company for a total of €3,000. Today their value is 50% lower. By how much percent must the price of these shares increase from today for their total value to return to the original €3,000?
Books 4
A student read 30 pages in 6 days. He read 75 pages in x days. Calculate x.
Teeth
An adult has a total of 32 permanent teeth. How many of them are molars if 1/4 of the teeth are incisors, another quarter are molars and the remaining quarter are canines?
Fuel and oil ratio 2T
Add 4 liters of gasoline with oil in a ratio of 33:1. How much oil is needed?
Products - defective
Among 125 products, 56 were defective. What percent of products are without defects?
Cookies - price
The price of cookies was increased from 16 crowns to 17 crowns. By what percent did the price of cookies increase?
February sales
The company earned only four-fifths of what it earned in January in February. How many percent more did the company earn in January than in February?

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