Basic operations and concepts - math word problems - page 300 of 324
Number of problems found: 6465
- Compound Interest
If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long will it take for the account to have $12600? - Distribution function
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X - Circle line probability
A rectangular grid consists of two mutually perpendicular systems of parallel lines with a distance of 2. We throw a circle with a diameter of 1 on this plane. Calculate the probability that this circle: a) overlaps one of the straight lines; b) do any of - Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati - Work time
The carpenter did the work in 3 2/5 hours. What part of the work did he do in an hour? - Radioactive decay
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago. - Interest rate increase
The bank increased the interest rate from the original value of 4% to 5%. What percentage of the original value of the interest rate was its increase? - Change per hour
On Sunday, the temperature was 63 degrees at 2 PM. The temperature was then 72 degrees at 5 PM. What is the rate of change per hour? - Z score transformation
The annual salary of an entry-level statistics major (in thousands of dollars) is normally distributed with a mean of 75 and a standard deviation of 12. X ∼ N ( μ = 75, σ = 12 ). What minimum salary should a statistics major aim for to earn amongst the to - Map 2
At what scale is a map made if the distance 1.3 km corresponds to the map segment 4 cm long? - Coordinates - ellipse
Write the equation of the ellipse that passes through the points, and its axes are identical to the coordinate axes when A = [2, 3] and B = [−1, −4]. - Pump tank emptying
Three identical pumps empty the tank in 1.8 hours. How long will it take 5 pumps to empty this tank? - Horses 6
A farmer bought feed for 6 horses for 5 months. After two months, he sold 2 horses. How many months will the remaining feed last? - Deposit double years
The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double? - Solution mixing extent
To what extent do we need to mix 82% and 54% solutions to get a 76% solution? - Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself? - Salicylic acid solution
Prepare 600 g of an 8% solution of salicylic acid. - Safe wall percentage
The safe is 100 cm high, 80 cm wide, and 60 cm deep. Its internal space has a volume of 168 liters. What percentage of the total volume of the safe is occupied by the walls of the safe? - Cube weight edge
The cube with an edge of 1 cm weighs 0.2 kg. What is the weight of a cube made of the same material with an edge 4 cm long? - Cube volume increase
The edge of an 8 cm cube is increased by 20%. By how much does the volume increase compared to the original cube?
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