Which of the following is the linear parent function?
2 answers:
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Answer:
1.256g = 1,256,000 micrograms
1.256g = 1256mg
1.256g = 0,001256kg
Step-by-step explanation:
This is a conversion of units problem, that can be solved by rules of three.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First step: 1.256g to micrograms
Each g has 1,000,000 ug. So:
1g - 1,000,000 ug
1.256g - xug
x = 1,000,000*1.256
x = 1,256,000 micrograms
Second step: 1.256g to mg
Each g has 1,000 mg. So:
1g - 1,000mg
1.256g - xmg
x = 1,000*1.256
x = 1256mg
Final step: 1.256g to kg
Each kg has 1,000g. So:
1kg - 1,000g
xkg - 1.256g
1,000x = 1.256
x = 0,001256kg
Answer:
a)
And we can find this probability using the normal standard table or excel:
b)
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
c)
And we can find this probability using the complement rule and the normal standard table or excel:
d) We can consider unusual events values above or below 2 deviations from the mean
A value below 10.5 can be consider as unusual
A value abovr 31.7 can be consider as unusual
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 scores of a population, and for this case we know the distribution for X is given by:
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:
Part b
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Part c
And we can find this probability using the complement rule and the normal standard table or excel:
Part d
We can consider unusual events values above or below 2 deviations from the mean
A value below 10.5 can be consider as unusual
A value abovr 31.7 can be consider as unusual