Latest word problems

Number of problems found: 823

  • Pentagonal pyramid
    pentagon Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm.
  • IQ Intelligence quotient
    normal_d_1 Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively to a given group). Intelligence has an approximately n
  • Calculate
    hexagon-prism Calculate the surface of a regular eleven-sided prism, if the content of its base is 58cm2, the edge of the base is 6cm long, the height of the prism is 21cm
  • Three colors
    balls2 Find the probability that 3 balls of the same color will be drawn from fate with 10 white, 10 red, and 10 blue balls.
  • Coke and coal
    coal 20.1 tons of coke is produced from 30 tons of black coal. How much coke is made from 1 kilogram of coal?
  • Assembly time
    mean_normal The assembly time for the toy follows a normal distribution with a mean of 75 minutes and a standard deviation of 9 minutes. The company closes at 5 pm every day. If one starts assembling at 4 pm what is the probability that he will finish before the comp
  • Alopecia
    alopecia Medical literature indicates that 45% of men suffer from alopecia. For random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most two men suffer from alopecia.
  • Secondary school
    skola_2 1/2 of the pupils want to study at the secondary school, 1/4 at the apprentice, 1/6 at the grammar school 3 pupils do not want to study. How many students are in the class?
  • Convalescent homes
    hotel-montfort-tatry-2 In 270 convalescent homes, 94,270 vacationers spent part of the holiday a year. On average, how many vacationers per convalescent home?
  • Isosceles trapezoid
    rr_lichobeznik Find the area of an isosceles trapezoid with bases of 8cm and 72mm. The height of the trapezoid is equal to three-quarters of the longer base.
  • The recommended
    books The recommended price of the novel "Laughing Sun" is 285 SKK. The bookseller bought 60 pieces of the novel at the wholesale store and paid 82% of the recommended price (18% is his profit for selling books). For the recommended price, he sold 55 pieces of
  • Quadrilateral pyramid
    jehlan_4b_obdelnik_1 The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
  • Wooden bowls
    miska 20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm2. How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d
  • From plasticine
    kuzel_1 Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone?
  • Two vases
    komolykuzel Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the diameter of the lower base d1 = 25 cm and with the diameter of the upper base d2 =
  • Decibel
    tv_1 By what percentage does the sound intensity increase if the sound intensity level increases by 1 dB?
  • Cuboid diagonals
    kvadr_diagonal The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals.
  • Aquarium
    akvarko How many liters of water can fit in an aquarium measuring 30, 15 and 20 cm?
  • This year
    calendar_1 This year 2020 is a leap year. How many leap years there had been be since 1904?
  • The sum 6
    plusminus The sum of the 17 different natural numbers is 153. Determine the sum of the two largest ones.

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