Examples for secondary school students - page 80 of 229
Number of problems found: 4578
- Find next member
Find x if the numbers from a GP are 7, 49, and x.
- Missing term 2
What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
- Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r.
- Common ratio
If 200 units of a commodity are consumed in the first year, and if the annual rate of increase in consumption is 5% (a) what amount is consumed in the 8th year; (b) in the first 15 years?
- Statistics quiz
Fill in the missing word. 1. in a data set, the mean, median, and mode are measured of ________________ 2. "The manipulation of variables under controlled conditions" is the data collection method known as______________ 3. in a normal distribution, the ar
- Double-digit 33471
How many double-digit numbers greater than 60 can we make from digits 0,5,6,7,8,9? The numerals must not be repeated.
- Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations
- Inequality: 33371
Solve the quadratic inequality: -2x² + 4x + 6
- Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere?
- Corresponding 33321
The following data on the height and the corresponding number of pupils were found in the measurement of 63 pupils: the height; number of pupils 159cm; 1 161cm; 1 162cm; 2 163cm; 1 164cm; 2 165cm; 2 166cm; 3 167cm; 2 168cm; 4 169cm; 3 170cm; 5 171cm; 6 17
- Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down?
- Statistical XY file
Year; money spent on advertising; profit (three values each row) 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 equat
- Soccer teams
Have to organize soccer teams. There are three age groups. How many different ways can you organize ten teams for each age group? Is this a permutation or combination?
- Calculate 33101
Calculate ǀǀ4ǀ. ǀ-8ǀ - (- 3) ǀ: ǀ2 + ǀ-2ǀǀ =
- Place vector
Place the vector AB if A (3, -1), B (5,3) in point C (1,3) so that AB = CO.
- Competition 33041
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe?
- Insert 3M AP
Insert three arithmetic means between 3 and 63.
- Harmonic oscillator
Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the deflection amplitude is 2 cm, and the frequency is 5 Hz. Please round the result to 3 decimal places.
- Probability 32951
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.
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