Grade - math word problems - page 422 of 968

Number of problems found: 19341

Tallest people a
As a group, the Dutch are amongst the tallest people in the world. The average Dutchman is 184 cm tall. If a normal distribution is appropriate, and the standard deviation for Dutchmen is about 8 cm, what is the percentage of Dutchmen who will be over 2 m
Wimbledon finals
Serena Williams made a successful first serve 67% of the time in a Wimbledon finals match against her sister Venus. If she continues to serve at the same rate the next time they play and serves six times in the first game, determine the probability that:
The ABCD
The ABCD trapezoid has a base length of a = 120 mm, c = 86 mm, and an area of S = 2575 mm². Calculate the height of the trapezoid.
Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long.
Triangle right determination
Decide if the triangle is right (sides 5, 11, 7 cm)
Ball probability
There are 6 white and several red balls in the box. How many red balls must there be so that the probability of drawing a red ball is less than the probability of drawing a white ball or greater than the probability of drawing a white ball?
9-sided pyramid
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm
Quadrilateral pyramid
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid.
Seedbeds
The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds.
Hydraulic - piston
The large piston of the hydraulic system has a capacity of 0.25 m² and a small 10 cm². How much force do we exert on the small piston to be lifted by 750 N?
Hydraulic blade force
The hydraulic blade has pistons with an area of 10 cm² and 500 cm². How much force acts on the larger piston if we act on the smaller piston with a force of 100 N?
Hydraulic jack
The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston?
Electric cooker
During which time does an electric cooker with power input P = 500 W and efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10 °C to the boiling point (t2 = 100 °C)? The specific heat capacity of water is c = 4 180 J/kg/K.
Aquarium wet walls
The aquarium has the shape of a block with dimensions a = 40 cm, b = 15 cm, c = 30 cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium.
System equation solving
Solve the following system of equations: x + 4y = 5 2x - 3y = -6
Number zero puzzle
I think of a number. When it is substituted into the expression (x − 4)(2x − 1), the result is zero. What could the number be?
Bus average speed
A bus travels from Prague to a destination, taking 1 hour and 30 minutes and covering 105 km. Calculate the average speed of the bus.
Sphere cube filling
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill?
Fraction to decimal infinite
Find which digit is at 1000th place after the decimal point in the decimal expansion of the fraction 9/28.
Pool filling time
How long does it take to fill a pool measuring 6x4x1 m at a flow rate of Q = 0.2 dm³ / s?

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