Examples for secondary school students - page 17 of 231
Number of problems found: 4610
- Three 222
Three tractor drivers working on a private farm together played 24 hectares of land in a shift. The first drive played half the second, and the second 4 hectares more than the third. Calculate the number of hectares played by the first, second and third. - The Uniform Distribution
The number of tickets purchased by an individual for Beckham colleges holiday music festival is uniformly distributed random variable ranging from 5 to 12. What is the standard deviation? - Containers
One in eight containers is temporarily misplaced. A random sample of 12 containers is selected. What is the probability that 6 of these containers will be temporarily misplaced? - Fibonacci numbers
If the first three Fibonacci numbers are given as x1 = 1, x2 = 1, and x3 = 2, then what is the least value of n for which x(n) > 500? - Suppose 8
Suppose the scores on a test have a normal distribution with X=74 and a standard deviation of s=18. What percentage of students have scores higher than 90? What percentage of students have scores between 70 and 85? Twenty percent of the students do better - Cplx sixth power
Let z = 2 - sqrt(3i). Find z6 and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3 - Passenger 18
Passenger and freight trains are operated between stations I and II, where the distance between stations is 16 km. The speed of the passenger trains is 100km/h, and the speed of the freight trains is 60km/h for a single-line railway track. The waiting tim - The area 3
The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2? - Slope of line
What is the slope of the line that passes through the points: (-2, 4) and (-3, 1)? - Testing students
Giving a test to a group of students, the grades and gender are summarized below. Grades and Gender ; A; B ; C ; Total Male; 20; 6; 19 ; 45 Female ; 17; 18; 13; 48 Total; 37; 24; 32; 93 If one student is chosen at random, a) Find the probability that the - A car license plate
A car license plate consists of one letter (out of 26) and six numbers. How many of these numbers can be formed if the letter is always in second place and cannot be adjacent to zero? - Runner 6
A runner runs the first lap of a circuit at an average speed of 5 km/h. At what speed must the second lap of the same circuit be run so that the average speed of both laps is 10 km/h? - AP - sum15
Calculate the sum of the first 15 terms of the arithmetic sequence if a1=5, d=-3 - Rent increase
Calculate how much the rent should be increased for the tenant to cover inflation of 7% per year. The first year, the rent is 550 euros. Calculate the correct rent for the first 5 years so that you have the same rent in "loaves". - Dielectric change
An air capacitor with straight plates has a capacitance C0 = 10 pF and a plate distance d = 1 cm. We place a sheet of thickness ∆= 1 mm in the middle between the plates. What will be the capacitance of the entire device? (Marginal effects can be neglected - Conductor - induction
A conductor in the shape of two circular turns with radii of R=5 cm is placed in a magnetic field with induction B=0.6 T perpendicular to the direction of induction. What is the electromagnetic voltage induced in this conductor when the magnetic field dis - How many 147
How many consecutive natural numbers from 1 to n do you have to add up at least so that their sum exceeds 1000000? - Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical segment that is part of the sector has a base radius r1 = 6 cm and a height v = 2 cm. - Calculate the cylinder
Calculate the volume of the cylinder, given: S = 144π cm² height = 6 cm - View angle
From a tower 20 m high and 20 m away from the river, the width of the river appears to be at an angle of 15°. How wide is the river at this location?
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