6th grade math , help me please :D
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If both faucets are used together, it time taken by them to fill the tub is 4.8 minutes.
<h3>What is the concept of time and work?</h3>Time and work share a fundamental idea in common with other arithmetic topics, namely the idea of proportionality.
When the amount of work is constant, efficiency is inversely proportional to the length of time required.
Important Time and Work Formula:
- Work Done = Time Taken × Rate of Work.
- Rate of Work = 1 / Time Taken.
- Time Taken = 1 / Rate of Work.
- If a piece of work is done in x number of days, then the work done in one day = 1/x.
- Total Wok Done = Number of Days × Efficiency.
- Efficiency and Time are inversely proportional to each other.
Calculation for the time taken by both faucet to fill the tub.
The unit should be tub per minute.
Then, do the reciprocal of the result to have minute per tub.
The hot water faucet can fill the tub in 12 minutes.
The cold water faucet can fill the tub in 8 minutes.
The filling rate for both faucets filling the tub at the same time is the sum of their rates.
Let 't' be the time taken by both faucets.
Then,
t = 4.8
Therefore, the time taken by both faucets to fill the tub is 4.8 minutes.
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Answer:
[34,54]
Step-by-step explanation:
-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.
Where:
- 68% is the first standard deviation
- 95% is the second standard deviation about the mean
- 99.7% is the 3rd standard deviation about the mean.
-Therefore. the middle 95% interval is calculated as:
Hence, the interval is [34,54]