Themes, topics - practice problems - page 9 of 159
Number of problems found: 3172
- Ekene and Amina
The probability that Ekene will be alive in 5 years' time is 3/4, and the probability that his wife Amina will be alive in 5 years' time is 2/5. Find the probability that in 5 years' time: a) both of them will be alive b) only Ekene will be alive
- Joy deposited
Joy deposited the sum of 50,000 in her bank account. After 5 months, she made another deposit of 125,000 and 6 months a lap before the withdrawal of 12,000 nairas. If the interest rate is 5% per annual, calculate how much she should have in her account.
- Feed rate
The feed rate of a drill is the distance it advances with each revolution. If a drill makes 320 rpm and drills a hole 2.625 inches deep in 1.8 minutes, what is the feed rate?
- The bicycle
The bicycle runs 30 mph for 20 minutes. How far it goes?
- The temperature 47
The temperature in a garden at midnight was −3 degrees Celsius. By 6 AM, the temperature was −8 degrees Celsius. What is the difference in the temperature?
- Water 71
Water was heated to 80°c then allowed to cool at a rate of 6°c per minute. After how long was the temperature 8°C?
- Lightning strike
In a thunderstorm, the formula M=t/5.3 gives the approximate distance, M, in miles, from a lightning strike if it takes t second to hear the thunder after seeing the lightning. If you are 5.4 miles away from the lightning flash, how long will it take the
- 2-cycle
2-cycle engines require a mixture of oil and gas to run properly. For every gallon of gas, a certain 2-cycle engine requires 1 1/4 fl oz of oil. How much oil must be added to prepare 3 1/2 gallons of gas to get the proper mixture?
- A car miles
A car begins heading along a path at 50 mph. A second car begins an hour later, along the same path traveling at 70 mph. For how long will the first car travel when the second car overtakes it?
- Balloon
If a ceiling balloon rises at 120 m (about 400 ft) each minute, what is the ceiling of an overcast deck of stratus clouds 1500 m (about 5000 ft) thick if the balloon disappears into the clouds in 5 minutes? Show your solution.
- Konrad
Konrad coaches football. He cycles 3 km to the stadium at an average 12 km/h speed. How long does Konrad take to cycle to the stadium?
- The temperature 45
The temperature in a field is 68°F at 4 PM. The temperature decreases by 4°F per hour. When will the temperature be 60°F?
- One evening 2
One evening, the temperature in Miami was 28°C. During that same evening in Anchorage, it was 32°C cooler than it was in Miami. What was the temperature in Anchorage?
- A chemist 2
A chemist has two alloys of bronze, one that is 12% tin and 88% copper and a second that is 10% tin and 90% copper. If these two alloys are melted and thoroughly mixed together, between what two values are the percent of tin in the mixture?
- Walker
If you walk at an average speed of 4km/h, how many kilometers can you walk in 2 hours?
- Bank deposits
At the end of each quarter, Patti deposits $1,400 into an account that pays 10% interest compounded quarterly. How much will Patti have in the account in three years? Note: Use tables, Excel, or a financial calculator round your final answer to the neares
- A disease
A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people?
- Heat energy
Energy is measured using the unit Joule (J). Temperature is measured using the unit degree Celsius °C). To increase the temperature of 1 liter of water by 1°C, 4200 J of heat energy is required. (a) Kelly wants to increase the temperature of 2 liters of w
- Dinesh 2
Dinesh left town L for town M at a constant speed and took 10 hours to complete the journey. At the same time, Saanvi left town M for town L, traveled at a constant speed, and took 6 hours to complete the journey. They both passed each other at a point 72
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