Each container must hold exactly 1 litre of water Each container must have a minimum surface area
1 answer:
The containers must be spheres of radius = 6.2cm
<h3>How to minimize the surface area for the containers?</h3>
We know that the shape that minimizes the area for a fixed volume is the sphere.
Here, we want to get spheres of a volume of 1 liter. Where:
1 L = 1000 cm³
And remember that the volume of a sphere of radius R is:
Then we must solve:
The containers must be spheres of radius = 6.2cm
If you want to learn more about volume:
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Answer:
The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the height of chimneys in factories.
The mean height is, <em>μ</em> = 100 meters.
The standard deviation of heights is, <em>σ</em> = 12 meters.
It is provided that a random sample of <em>n</em> = 40 chimney heights is obtained.
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.
Then, the mean of the distribution of sample means is given by,
And the standard deviation of the distribution of sample means is given by,
Since the sample selected is quite large, i.e. <em>n</em> = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.
Compute the probability hat the sample mean height for the 40 chimneys is greater than 102 meters as follows:
*Use a <em>z</em>-table fr the probability.
Thus, the probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.
Answer:
In 5 years, you will have $1,288.48
Step-by-step explanation:
