Examples for secondary school students - page 85 of 237

Number of problems found: 4730

Card drawing probability
Determine the probability that when drawing three cards from a complete set of 32 marriage cards, it will be the same acorns or the kings themselves.
Marketing
Year; money spent on advertising; profit 2008 2 12 2009 5 20 2010 7 25 2011 11 26 2012 15 40 1. draw a scatter diagram depicting the data. 2. calculate the Pearson's correlation coefficient. 3. determine the linear regression equation.
Insert 3
Insert five arithmetic progression members between -7 and 3/2.
A ladder
The ladder's bottom rung is 36 inches long, and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it? How many feet of wood were used to make the rungs?
Negative difference
Find four arithmetic progression members between 7 and -6.
Sum of odd numbers
Find the sum of all odd integers from 13 to 781.
AP members
What is the value of x2, x3, x4, x5…of the terms (of arithmetic progression) when x1 = 8 and x6 = 20?
AP terms
What are the four terms of arithmetic progression between numbers 4 and 19?
Hydrostatics
A) Calculate the hydrostatic pressure at the bottom of the Mariana Trench. The density of seawater is 1,030 kg/m³. What depth do you need to look up in an atlas or on the Internet? B) Calculate the pressure force acting on a submarine with a surface area
Complaints
The table is given: days; complaints 0-4; 2 5-9; 4 10-14; 8 15-19; 6 20-24; 4 25-29; 3 30-34; 3 1.1 What percentage of complaints were resolved within two weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal nu
Concrete column
A concrete column for a motorway bridge is a cuboid with dimensions 1 m × 0.8 m × 25 m. A crane must lift it to a height of 20 m. What is the minimum power of the crane's engine if the lift takes 2 minutes?
Triangle calculation complete
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v
School pupil distribution
A total of 1415 pupils attend the three primary schools. They go to the second school twice as much as to the first, and to the third, they go 100 less than to the second. How many pupils attend the third school?
Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area.
Tennis aces
The number of aces served by Novak Djokovic in the last 20 tournaments he has participated in is shown below. 12 17 13 7 8 14 11 14 10 12 15 9 11 13 6 15 18 5 19 24 1.1 using the raw, determine the range. 1.2 Group the data into a frequency distribution w
Pentagonal pyramid
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.
Convex lens
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60 mm in length and width of the upper part 5 mm, the width of the lower part 8 mm
IQ Intelligence quotient
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
Three colors
Find the probability that three balls of the same color will be drawn from fate with ten white, ten red, and ten blue balls.
Assembly time
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 com

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