Weighted average - practice problems - last page
Number of problems found: 111
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Fifty students took a math test. The average number of points was 68. The top 10 students scored 100 points. What is the average number of points for the remaining 40 students? - Float boya
A 0.5-meter spherical float is a location mark for a fishing boat anchor. It floats in salt water. Find the depth to which the float sinks if the material of which the float is made weighs 8 kilograms per cubic meter and saltwater weighs 1027 kg/m³. - Inscribed circle
Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1]. - Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar?
- Alcohol 2
Two types of alcohol, one 46% and second 64%, give 16 liters of 54% alcohol. How many liters of each type are in the mixture? - Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [1; -20; 3] m1 = 46 kg A2 [-20; 2; 9] m2 = 81 kg A3 [9; -2; -1 - Certificate
There are 31 students in a class. The mathematics score wasn't worse than 2. The average score in mathematics was 2. How many students have a score of one, and how many have a score of 2? - Water
Mix 58 l of water with a temperature of 81 °C, 10 l warm of 54 °C, and 41 l water of 67 °C. What is the temperature of the mixed water immediately after mixing? - Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get?
- Coffee
In stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 creates a mixture. What will the price of 100 grams of this mixture be? - Daily average
Calculate the average temperature during the day, when 14 hours were 24 °C and 10 hours was 14 °C.
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