6. What is the precision of the measurement 48.6 kg?
1 answer:
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The metric unit of a quantity is simply the unit of measurement of the quantity
The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters
The volume of the crushed tomato can is given as:
From the question, we have the following conversion ratio
So, the volume in milliliters becomes
Multiply
To convert the unit to liters, we simply divide the volume by 1000.
So, we have:
Hence, the equivalent volumes are 1184 milliliters and 1.184 liters
Read more about metric units at:
Answer:
First part
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference:
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".
Solution to the problem
Let X the random variable that represent the data of a population, and for this case we know the distribution for X is given by:
Where and
First part
And for this case we want this probability:
And for this case we can use the z score formula given by:
And using this formula we got:
And we can use the normal standard table or excel and we got:
Second part
For the other part of the question we want to find the following probability:
And using the score we got:
And we can find this probability with this difference: