A 14.1 liter fish tank is being filled by 2 water faucets. Water flows out of Faucet A at the rate of 140 milliliters per minute
1 answer:
Answer:
58.75 minutes
Step-by-step explanation:
It is given that the volume of the fish tank is 14.1 liter = 14.1 × 1000 milliliters
Volume of water flows out from faucet A in one minute = 140 milliliters
Volume of water flows out from faucet B in one minute = 100 milliliters
Total volume of water flows out from both the faucets = 140 + 100 = 240 milliliters
Time taken to fill the tank =
=
= 58.75 minutes
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Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got: