Examples for secondary school students - page 20 of 213
Number of problems found: 4256
- Airport's 80482
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm? - Entrance exam
In a college entrance exam, the participants are rated as excellent, very good, good, and fair. Consider that the scores in the exam are normally distributed with a mean of 78 and a standard deviation of 7.5. The participants receiving the top 5% of the s - The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - Coordinates 80452
A (a1, 4) B(7, -2) segment AB has a center where both coordinates are equal
- Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7) - IQR and range
The times spent in minutes by 20 people waiting in a queue at the bank for a teller were: 3.4, 2.1, 3.8, 2.2, 4.5, 1.4, 0,0, 1.6, 4.8, 1.5, 1.9, 0, 3.6, 5.2, 2.7, 3.0, 0.8, 3.8, 5.2, Find the range and interquartile range of the waiting times. - Insurance 80434
The client paid the three partners CZK 90,000 for the completed contract. 40% of this amount was the material and 23% that the remaining amounts were paid for insurance and taxes. They divided the rest of the money in the ratio of 2:3:5. What amount did e
- A batsman
A batsman scored the following number of runs in seven innings 35,30,45,65,39,20,40. Find the mean, median, and range. - Z score transformation
Suppose a distribution has a mean µ = 8 and standard deviation σ = 4. What is the value of x if it is z = +1.50? - Two numbers 13
Two numbers are in the ratio 5:8. When 2 is added to each, the ratio of the resulting numbers is 2:3. Find the numbers. - One angle 2
One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles? - The sum 24
The sum of the three numbers is 80. The first number is 8 less than the third. The second number is 2 times the third. What are the numbers?
- Ninety-one 80354
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf? - Resistances 80352
We connect a 9V battery, 2 light bulbs in parallel, and a switch to the circuit. When the switch is turned on, a current of 0.5 A passes through the first bulb and a current of 8 A through the unbranched part of the circuit. Draw the connection and calcul - Resistance 80351
We connected two resistors in parallel in the circuit, with the first having three times the resistance of the second. The voltage between the terminals of each resistor is 6 V. Calculate the current through each branch when the resulting resistance of bo - An archer
An archer stands 60 meters (m) from a target. She launches an arrow that lands 3 centimeters (cm) from the bull's eye. The archer changes her position to 40 m from the target, and her next arrow lands 2 cm from the bull's eye. She changes her position to - Three members AP
There are arithmetic sequence x + 3, 2x + 3, 5x - 3. If the common difference is 3, find x.
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