Geometric average - practice problems

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 37

Five harvests
In the seed company, they know that, out of 100 grains of a new variety, they get an average of 2000 grains after harvest. Approximately how many grains do they get out of 100 grains after five crops?
Coordinates of midpoint
If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end?
GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4
Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle.
Area of RT
The right triangle has orthogonal projections of legs to the hypotenuse lengths 15 cm and 9 cm. Determine the area of this triangle.
Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
Area of RT
Calculate the right triangle area that hypotenuse has length 14, and one hypotenuse segment has length 5.
Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population?
Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%.
Measurements: 44341
Laboratory measurements determined the following roller lengths (in millimeters): {402; 410; 412; 410; 413; 418; 405; 409; 410; 409} Calculate arithmetic, geometric mean, mode, and median.
Transforming cuboid
A cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
Pillar
Calculate the volume of the pillar shape of a regular tetrahedral truncated pyramid if his square has sides a = 19, b = 27, and height is h = 48.
Statue
On the pedestal, high 4 m is a statue 2.7 m high. At what distance from the statue must the observer stand to see it at the maximum viewing angle? Distance from the eye of the observer from the ground is 1.7 m.
3y inflation
The price of the roll rise in the first year by 9%, the second year fell by 5%, and in the third year increased by 3%. Calculate the average annual increase in the price of the roll.
Ten dices
When you hit ten dice simultaneously, you get an average of 35. How much do you hit if every time you get six, you're throwing the dice again?
Consecutive 46761
The block lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block.
Population
The town has 159,000 inhabitants. 25 years ago, there were 158,000. How many people will live in a city in 10 years if the population's average rate is as in previous years?
Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members.
Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%.
Single-celled 4642
Guts (a single-celled organism under ideal conditions divides into two littles every 27 hours on average. How many would there be in 7 days if all the littles remained alive?

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