Examples for secondary school students - page 57 of 229
Number of problems found: 4578
- Solve 6
Solve the following equations: x + 2y - z = 3 3x + 4y + z = 5 3x - y - z = 5 - Acceleration 56621
The aircraft, which has a speed of 1080 km/h, starts moving for 1 minute with an acceleration of 1 m/s². What will be its final speed? What trajectory will he take at this minute? - Solve:
Solve: 2r²+7r-r²-9 - Population variance
60% of students at a California community college will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If eight students are randomly selected, find the population variance σ² - Sample Proportion
In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. Four hundred students are randomly selected from the college, and 224 of - Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 decimal places. - Mistake in expression
A student made a mistake while attempting to multiply the expression (2 - 5i)(5 + 2i). (2 - 5i)(5 + 2i) = 10 + 4i - 25i - 10i2 = 10 + 4(-1) - 25(-1) - 10(1) = 10 - 4 + 25 - 10 = 21 Complete the explanation and correct the error. Hint: The student incorrec
- Apple collecting
Luke, Peter, and Tibor compared how many kilograms of apples they had collected. They found that the arithmetic mean of what Luke and Peter collected was 10 kg larger than Tibor's contribution, and the arithmetic means of what Luke and Tibor collected was - The coil 2
The coil of a moving coil voltmeter is 40 mm long, 30 mm wide, and has 100 turns. The control spring exerts a torque of 240 x 10-6 N-m when the deflection is 100 divisions on a full scale if the flux density of the magnetic field in the air gap is 1.0 Wb/ - Error rate The exam has six questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed?
- Determine 55891
Determine the number of nine-digit numbers in which each of the digits 0 through 9 occurs at most once and in which the sums of the digits 1 through 3, 3 through 5, 5 through 7, and 7 to the 9th place are always equal to 10. Find the smallest and largest - Angle ASB
On a circle with a radius of 10 cm and with a center S, the points A, B, and C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circular arc and the amount of AB and AC offsets. - Displacement 55871
Assemble the two offsets, d1, and d2, shown by OA and OB oriented lines. The coordinates of the points are O = (0m, 0m), A = (3m, 3m), and B = (5m, 2m). Measure the magnitude of the resulting displacement d. - The width
The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the garden's dimension? - Ideal gas law
Assuming compression is according to the law pV = constant. Calculate the initial volume of gas at a pressure of 2 bar, which will occupy a volume of 6 cubic meters when compressed to a pressure of 42 bar.
- The projectile
The projectile leaves the 10 m long barrel at an instantaneous speed of 500 m/s. What is the acceleration of the projectile's movement in the barrel, and at what time will the projectile pass the barrel if we assume that It evenly accelerated the motion? - Directly 55591
If n is a natural number that gives a division of 2 or 3 when divided by 5, then n gives a residue of 4 when divided by 5. Prove directly - Indirectly: 55581
Prove indirectly: No odd natural number is divisible by four. - Contradiction 55571
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - Specific series
Complete the next three members of the series formed according to a specific rule: 1, √2, 9, 2, 25,. ..,. ..,. ..
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