Weighted average - practice problems - page 4 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 96
- Standard deviation
Find the standard deviation for the dataset (grouped data): Age (years); No. Of Persons 0-10 ; 15 10-20 ; 15 20-30 ; 23 30-40 ; 22 40-50 ; 25 50-60 ; 10 60-70 ; 5 70-80 ; 10 - Another 7225
The tourist walked on the plain for 2 hours at a speed of 6 km/h. For another hour, he climbed a steep hill at a speed of 3 km/h. What was his average speed? - Average grade
In the 9th grade, the teacher evaluated 24 pupils in the semester: 5 received grade 1, 8 received grade 2, and 11 received grade 3. Find the average grade in mathematics. - Peroxide
How many ml should we pour 30% of peroxide (H2O2) into 100ml H2O to give a 20% solution?
- Octane value
I loaded 10L 95 octane gasoline and 5L 100 octane gasoline. What is the resulting octane value of the gasoline in the tank? - CuSO4 mixture
How many grams of solid CuSO4 do we have to add to 450g of 15% CuSO4 solution to produce a 25% solution? - 5 people
Five people have $122000 each, and one person has $539000. How much should each person (equally) pay? - Utopia Island
The probability of disease A on the island of Utopia is 40%. The probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women o - Mixture 2
How many liters of water must be added to 7 liters of a 20% solution to obtain a 10% solution?
- Contains 5779
Juice contains 20% sugar, and apple juice contains 30% sugar. How much percent of sugar will be contained in a mixture of two liters of juice and three liters of apple juice? - Dried fruit
The manufacturer produces a mixture of dried fruit. He purchased: 10kg pineapple for 200 Kc/kg 2kg papaya for 180 kc/kg 1kg of banana for 400 Kc/kg How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production pri - Manufacturing 5686
If you know that the company produces four similar products that differ only in the weight of the packaging, determine the final price of the product in terms of costs. The total cost of manufacturing the product was CZK 5,745,000. And 10 kg 15,000 pcs B - Motorcycle 5561
Determine the average speed of a motorcycle ridden 1/3 of the total ride speed at 30 m/s and 2/3 of the total ride speed at 15 m/s. - Population 5039
Each Martian has 1,2,3 feeler on his head 1 feeler = 2% of the population 2 antennae = 97% of the population 3 tentacles = 1% of the population What percentage of Martians have more antennae on their heads than the population average?
- Candies
There are two types of candies in the store 20 CZK/kg and 80 CZK/kg. How much will a mixed cost if we mix 22kg cheaper and 4kg more expensive candies? - Employees 4496
Four workshop workers had a basic hourly wage of € 8.50. Eight employees € 9.60, five employees € 10.90. What was the average basic hourly wage of workshop workers, and what will be if the hourly rates increase by 10% - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol the pharmacy got? - Kerosine and petrol
If 4 liters of petrol containing 15% kerosine are added to another 7 liters of petrol containing 10% kerosine, what percentage of the petrol is kerosine? - Remaining 3195
A cyclist covered a track of 40m in 5s. The first section of the 30m track was covered in 3s; the remaining section was covered in 2s. Specify: a) the average speed of the cyclist on the first section of the track b) the average speed of the cyclist on th
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