Cuál es la formula para sacar el perimetro de una cruz??
2 answers:
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Answer:
Second option: 4 cm and 7 cm.
Step-by-step explanation:
A Parallelogram is defined as a type of Quadrilateral, whose opposite sides are parallel and have equal lenght.
Since the opposite sides and
have the same lenght, then:
Now you have to solve for "n":
Add 6 to both sides of the equation.
Subtract 3n to both sides of the equation:
Divide both sides of the equation by 2:
To know the lenght of two adjacent sides, susbtitute into the third side
and into one of the the sides that are opposite to eache other. Then:
Answer:
And if we solve for a we got
So the value of height that separates the bottom 85% of data from the top 15% is 25.27.
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 finishing time of a population, and for this case we know the distribution for X is given by:
Where and
Solution to the problem
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 85% of data from the top 15% is 25.27.