3. A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volum
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Answer:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%
Answer: Rectangular container is preferred to minimize the costs and there are 142 rectangular container is needed to pack 6400 candles.
Explanation:
Since we have given that
Number of candles in a rectangular container = 45
Number of candles in a cylindrical container = 41
Cost of each rectangular container = $15
Cost of each cylinder container = $16
That means ,
In case of rectangular container,
Cost of 45 candles = $15
Cost of 1 candle is given by
Similarly,
In case of cylindrical container,
Cost of 41 candles = $16
Cost of 1 candle is given by
So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.
Number of candle he need to pack = 6400
Number of rectangular container for 6400 candles is given by
Hence, there are 142 rectangular container is needed to pack 6400 candles.