Examples for secondary school students - page 96 of 214
Number of problems found: 4270
- Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient testing positive for malaria is 0.6. What is the probability that two patients were selected at random (i) one is negative while the other tested positive (i) both pa - Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. A n - Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values. - Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle.
- Gasoline-oil ratio
The manufacturer of a scooter engine recommends a gasoline-oil fuel mixture ratio of 15 to 1. In a particular garage, we can buy pure gasoline and a gasoline-oil mixture containing 75% gasoline. How much gasoline and gasoline-oil mix do we need to make 8. - Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books". - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle.
- Probability 8445
A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4 What is the likelihood that: a) - a goal is scored during the execution of one kick b) - that a goal is not scored - Investment 2
Jack invested $5000 in a 5-month term deposit at 4.7% pa. At the end of the five months, Jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% pa. What is the maturity value at the end of the second term deposit? - An investment
How long will it take for an investment to double at a simple interest rate of 5.10% per annum? Express the answer in years and months, rounded up to the next month. - Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1m B) 1s? - Customer 8436
The customer paid 143 euros for the goods after a 20% discount. But he wants to exchange all goods for goods in the total amount of 233e. She still has a 20% discount on this amount. How many euros does the customer have to pay for the returned goods?
- Tabitha
Tabitha manufactures a product that sells very well. The capacity of her facility is 241,000 units per year. The fixed costs are $122,000 annually, and the variable costs are $11 per unit. The product currently sells for $17. a. What total revenue is requ - Christmas 8430
The table shows the data that the family spent on Christmas presents last year. This year, they plan to reduce expenses by 20% compared to last year. How many euros will the family save on gifts compared to last year? Books 50.50 Cosmetics 35.00 Toys 25.5 - ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Intersect and conjuction
Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Car repair
John bought a car for a certain sum of money. He spent 10% of the cost on repairs and sold the car for a profit of Rs. 11000. How much did he spend on repairs if he made a profit of 20%?
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