Examples for secondary school students - page 61 of 232
Number of problems found: 4622
- Stone water lifting
How much force do we lift a stone in the water that weighs 30 kg and has a density of 2500 kg/m³? Gravitational acceleration g = 10 m/s². - Manometer gas pressure
An open manometer is connected to the gas tank. The difference in water levels in both arms is 54.5 cm. The atmospheric pressure is 10 5 Pa. Calculate the gas pressure. - The three
The three boys, Adam, Boris, and Cyril, will be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away? - Basketball team options
The basketball team consists of five players. Determine how many options his coach has to build a team if he has 12 players. - Combinatorics
In how many different ways can we seat three people on three chairs, four on four, five on five, and six on six chairs? Find common properties when selecting objects from the point of view of combinatorics. Find out the principle of calculating all possib - Day trip
A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at - Evaluate complex expr
Evaluate the expression (-4-7i)-(-6-9i) and write the result in the form a+bi (Real + i* Imaginary). - Cis notation
Evaluate the multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write the result in cis and Re-Im notation. - An Argand diagram
Find the sum z1+z2 and difference z1-z2 and z2-z1 of z1=5+2i and z2=2+3i by an Argand diagram. - The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - Range, mean, median
The ages of 7 employees in an office are given below 32, 42, 30, 32, 33, 23, 32 Find a) Range b) Mean c) Median - A frequency
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2,14,13,8, and 1, respectively. Using percentages, what are the relative frequencies of the five classes? - ReIm notation Let z = 6 + 5i and w = 3 - i. Compute the following and express your answer in a + bi form. w + 3z
- Railways 3
Railway Corporation wants to purchase a new machine for $360,000. Management predicts that the machine can produce sales of $220,000 yearly for the next five years. Expenses are expected to include direct materials, direct labor, and factory overhead (exc - Conjugate equation
Find the numbers of a and b; if (a - bi) (3 + 5i) is the Conjugate of (-6 - 24i) - Mortality tables
Mortality tables enable actuaries to obtain the probability that a person will live a specified number of years at any age. Insurance companies and others use such probabilities to determine life insurance premiums, retirement pensions, and annuity paymen - An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is indepe - Manufacturing company A random sample of 8 manufacturing companies is selected from a population of manufacturing companies. The market values (in millions of rands) of these eight manufacturing companies are: 17 65 117 206 172 181 221 94 What is the lowest and highest market
- Eq2 equations
For each of the following problems, determine the roots of the equation. Given the roots, sketch the graph and explain how your sketch matches the roots given and the form of the equation: g(x)=36x²-12x+5 h(x)=x²-4x+20 f(x)=4x²-24x+45 p(x)=9x²-36x+40 g(x) - Binomial probability
What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50?
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