Examples for secondary school students - page 185 of 230
Number of problems found: 4586
- Distribution 2645
The worker operates 600 spindles on which the yarn is wound. The probability of tearing the yarn on each spindle at time t is 0.005. a) Determine the probability distribution of the number of torn spindles at time t and the mean and variance. b) What is t - Arc-sector
arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? - Substitute a number
I think the number is when you substitute it in the expression (x-2). (2x - 1), you get zero. What number can it be? - Two pipes
One pipe fills one-fifth of the volume 20 minutes before my second one. The two pipes together will fill the tank in two hours. How long will each pipe fill the tank separately? - Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out? - Cyclist
The cyclist rode two-fifths of the way the first day. On the second day drove 5 km less while traveling three-eighths of the route. How many kilometers does he have to finish the target? - Inspected 2607
The worker checked 4,950 products in three days. He inspected 25% more products on the second day than on the first day. He inspected 16% fewer products on the third day than on the second day. How many products did he check on each day? - Inscribed circle
Write the equation of an incircle of the triangle KLM if K [2,1], L [6,4], M [6,1]. - Equation 2604
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - Square
The square's side length decreases by 25%, and its area is now 28 cm22 lower. Find the side of the original square. - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - Isosceles 2588
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that - Bus stop
Find at what time the bus leaves from the bus stop outside the village. If you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go at a speed of 4 km/h, you come t - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Calculate 2575
Calculate the area and height of the rhombic cover plate to which the following applies: d (BC) = 60 cm, angle BAD = 45 °, angle ADB = 90 °. - Intersections 2574
Calculate the intersections with the x and y axes of the function h: y = 4 / 5x-3 - Left-handed writer
Eva, Lucia, Barbora, Ivana, and Slávka are good friends, so they always want to sit at one long table next to each other in biology class. How many ways can they sit if Slavka is left-handed and, therefore, always wants to sit on the left side of the tabl - Road drop
A 12 percent drop is marked on a straight stretch of road. What angle aligns the direction of the road with the horizontal plane?
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