Intersection of sets - practice problems - page 6 of 10
Number of problems found: 182
- The intersection of the diagonals
In the rectangular coordinate system, a rectangle ABCD is drawn. These coordinates determine the vertices of the rectangle: A = (2.2) B = (8.2) C = (8.6) D = (2.6) Find the coordinates of the intersection of the diagonals of the ABCD rectangle. - Diagonal of the diamond
The ABCD diamond shape is known as diagonal u2 and a height v. Do an analysis. - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
- Hazard game
In the Sportka hazard game, six numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess five numbers correctly) b) the third prize (we guess four numbers correctly)? - Construction of trapezoid
Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction) - The box
The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What probability will we take out one chocolate, one fruit, and one menthol candy without a return? - Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0 - Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a.
- Intersections 26781
A rectangular grid consists of two mutually perpendicular systems of parallel lines with a distance of 2. We throw a circle with a diameter of 1 on this plane. Calculate the probability that this circle: a) overlaps one of the straight lines; b) do any of - Coordinates
Determine the coordinates of the vertices and the area of the parallelogram, the two sides of which lie on the lines 8x + 3y + 1 = 0, 2x + y-1 = 0, and the diagonal on the line 3x + 2y + 3 = 0 - Statistically 25181
Statistically, in a city of 100,000 inhabitants, 600 people die in one year. During the year, 2,000 people received hospital treatment, and 120 of them died there. Calculate the probability that a citizen who comes to the hospital for treatment will die t - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - T-shirts 22133
There were 40 boys in the school. They were branded with caps and t-shirts. Twenty-five boys had blue caps. Twenty boys had a blue cap and a yellow T-shirt. a) How many boys had a yellow shirt? b) How many boys did not have a blue cap? c) How many boys on
- Distance 22043
There is a given circle k (S, 4 cm) and a line p. If the distance of point S from line p is less than 4 cm, is the line p called? - Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice? - Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%? - Butterflies and bees
There were 35 flowers in the garden. The butterflies were on 17 flowers. There were butterflies and bees on eight flowers. Can you find out how many flowers were only bees? Note. There was a maximum of one butterfly and a maximum of one bee on each flower - Fall sum or same Find the probability that if you roll two dice, the sum of 10 will fall, or the same number will fall on both dice.
At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in theDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
