One edge of a cube is measured and found to be 13 cm. the volume of the cube in m3 is ________.
1 answer:
Since a cube is defined to have the same measurement in all three dimensions, it's volume can be calculated by raising the measurement of one side to the power of three.
In the problem we are given a measurement in centimeters and we are tasked to find the volume in m³. To make the calculation easier, we can just convert the measurement immediately since we know 100cm = 1m. Following this conversion, 13cm will be equal to 0.13m.
For the volume we'll get:
cubic meters or 
cubic meters if you are more comfortable expressing it in scientific notation.
In the problem we are given a measurement in centimeters and we are tasked to find the volume in m³. To make the calculation easier, we can just convert the measurement immediately since we know 100cm = 1m. Following this conversion, 13cm will be equal to 0.13m.
For the volume we'll get:
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Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 1.645.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So
Rounding up:
19 beers must be sampled.