The triangles are similar.
2 answers:
Answer : The value of x is, 13
Step-by-step explanation :
As we know that when two object have same shape then they are similar. That means, when two triangles are similar then their ratios of lengths of their corresponding sides are equal.
Let the name of the big triangle be, PQR and small triangle be, XYZ.
Given:
PQR is similar to triangle XYZ. That means,
x = 13
Therefore, the value of x is, 13
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Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
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 lenghts 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 with the normal standard distirbution or excel and we got: