Angela arrives at the mouse thearter at 7:48 p.m. she leaves at 9:50 a.m. how many minutos was she at school.
2 answers:
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Answer:
And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"
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 of interest for 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 on this way:
And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"
. Multiplying the denominator by
gives
Subtracting this from the numerator gives a remainder of
. Multiplying the denominator by
gives
and subtracting this from the previous remainder gives a new remainder of
This last remainder is exactly the same as the denominator, so divides through it exactly and leaves us with 1.
What we showed here is that
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
which matches the original numerator.
Answer:
28.26
Step-by-step explanation:
The radius is half of the diameter. 6/2 = 3, so the radius of this circle is 3 cm.
The formula for the area of a circle is: π
Plugging 3 into the radius, we have:
× π =
9 × π
We can round π to 3.14
9 × 3.14 = 28.26