Examples for secondary school students - page 69 of 237

Number of problems found: 4730

When finding out
When finding out the number of minor children in 18 households, these results were obtained: 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 3, 2, 1, 1, 0, 2, 3, 2 . a. Arrange the values of the variable by size. b. Construct a frequency distribution table and calculate re
Edmond
Edmond Santos borrowed USD 20,000 for 18 months at 6 1/2 % per year. Find the APR (Annual Percentage Rate) if he repaid the loan monthly. The answer is: Note: APR is expressed as a percentage representing the actual yearly cost of funds over a loan term.
Sport shooting
During small-bore rifle shooting, the following scores were achieved in one series: 9, 9, 8, 9, 10, 6, 8, 9, 9, 10, 8, 7, 6. a. Arrange the values in ascending order. b. Construct a frequency distribution table and calculate the relative frequencies and r
Three pillars
On a straight road, three pillars are 6 m high at the same distance of 10 m. At what angle of view does Walter see each pillar if it is 30 m from the first and his eyes are 1.8 m high?
Two similar
There are two similar triangles. One has a circumference of 100 cm, and the second has sides successively 8 cm, 14 cm, and 18 cm longer than the first. Find the lengths of its sides.
Chord distance
Two parallel chords in a circle with a radius of 6 cm have lengths of 6 cm and 10 cm. Calculate their distance from each other. Find both solutions.
Calculate
Calculate the area of triangle ABC if given by alpha = 49°, beta = 31°, and the height on the c side is 9 cm.
Gem selection choices
The jeweler selects three gems in the ring. It has rubies, emeralds, and sapphires. How many choices does it have?
Gas pressure
The mean square velocity of the gas molecules is 1200 m/s. What pressure does this gas exert on the vessel wall when its density is 0.03 kg/m³?
Angle of diagonals
Calculate the perimeter and area of a rectangle whose diagonal is 14 cm and whose diagonals form an angle of 130°.
The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10 cm.
Confidence interval
A food testing laboratory in Abu Dhabi has been commissioned to estimate the amount of olive oil contained in 1-gallon tins purchased from a range of international olive oil producers. The manufacturers state that the standard deviation of the amount of o
Frequency distribution
The following frequency distribution gives the time spent for a fill-up at a gas station. Assume that each value in a class is equal to the midpoint of the class. Estimate the mean fill-up time for the given data. Please round your answer to the nearest h
Jewelry factory
In a jewelry factory, three assemblers make beaded necklaces. Marcus can make 22 necklaces per hour all day long. Anita can make 25 necklaces for her first three hours of the day and then slow down to 16 necklaces for the rest of the day. Yara can make 27
The diamond
The diamond has an area S = 120 cm², and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond.
Probability
In an election, 2,400,000 voters out of a total of 6,000,000 voted for party Z. Three voters are selected at random. Let the random variable ξ = {number of voters for party Z among the three selected}. Determine: a) the probability distribution, the distr
Five years
Nakato Nobuki, a Japanese artist, wants to have $24,000.00 in his savings account at the end of five years. Mr. Nobuki deposits $1,500.00 annually into savings and has a balance of $8,000.00 today. What must the interest rate on the savings account be for
Two cables
On a flat plain, two columns are erected vertically upwards. One is 7 m high, and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag.
Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same?
Probability
In an election, 2,400,000 voters out of a total of 6,000,000 voted for party Z. Three voters are selected at random. Let the random variable ξ = {number of voters for party Z among the three selected}. Determine: a) the probability distribution, the distr

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