Examples for secondary school students - page 38 of 230
Number of problems found: 4582
- An odd function
If the points (5, -6) and (-3, 4) lie on the graph of an odd function f, then what are the values of f(-5) and f(3)? Is it possible to know this without seeing the graph of f? - A particle 2
If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2m, t = 0.5s. Determine the velocity and displacement when t = 10s. - A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible. - Complex conjugate
What is the conjugate of the expression 5√6 + 6√5 i? A.) -5√6 + 6√5 i B.) 5√6 - 6√5 i C.) -5√6 - 6√5 i D.) 6√5 - 5√6i - Probability 86
At a business conference, there were ten social workers, 16 doctors, five lawyers, and two journalists. If a person is picked at random from the entire group, what is the probability: a) to be a lawyer b) to be a doctor. - Dataset 3
Given dataset: 31, 28, 31,30,31,30,31,31,30,31,30,31 1. Construct a frequency table. 2. Construct a histogram. 3. Compute the mean. 4. Compute the median. 5. Find the mode. 6. Compute the midrange. 7. Compute the standard deviation. - Movie theatre
At the movie theatre, child admission is 5.40, and adult admission is 9.70. On Thursday, the theatre sold 159 tickets for a total sales of 1142.40. How many child tickets were sold that day?
- Quartile statistics Use the following data, which was obtained from a study of weights of adult men, to answer problems: Mean ; 192 lb ; First quartile ; 178lb Median; 185lb ; Third quartile ; 232 lb Mode ; 180 lb ; 86th percentile ; 239 lb Standard Deviation ; 23lb; ; a) Wh
- A yard
Yevgen is fencing in a yard that is 30 meters longer than it is wide. The yard will have an area of 1000 m². Find its width and length. - A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile? - Overbooking flight
A small regional carrier accepted 12 reservations for a particular flight with 11 seats. Seven reservations went to regular customers who would arrive for the flight. Each remaining passenger will arrive for the flight with a 49% chance, independently of - The cosine law
Solve the unknown dimensions for the following triangle: Triangle ABC: Angle A=43 degrees, b=7.0cm, c=6.0cm Question 1. Angle B with units written as degrees Question 2. Angle C with units written as degrees Question 3. a, rounded to the nearest tenth of - GP - ratio
What is the common ratio of -8,40,-200,1000,-5000 (geometric sequence)? - Sin cos tan
If cos y = 0.8, 0° ≤ y ≤ 90°, find the value of (4 tan y) / (cos y-sin y) - A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors
- The radius
A right circular cone's radius and slant heights are 9 cm and 15 cm, respectively. Find, correct to one decimal place, the (i) Height (ii) Volume of the cone - The lengths
The lengths of the twelve poles form an Arithmetic Progression (A. P). If the third pole is 3m and the eighth pole is 5 m, find the (i) Length of the first pole (ii) Sum of the length of the poles - The cost 5
The cost of three chairs and four tables is 320.00. If two chairs and five of the same kind cost 330.00, find the cost of (i) 4 chairs (ii) 3 tables - Electric charge
The electric current in a microprocessor circuit is 0.230 μA. How many coulombs pass a given point in the circuit in 1.50 ms? - The scores The scores of 10 learners in a test arranged in ascending order are 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23, and 24. If the median mark is 20, find (a) value of a. (b) mean
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