Find the vertex form of the quadratic function by completing the square F(x) = x^2 -24x
1 answer:
You might be interested in
Answer:
And we can find this probability using the normal standard table or excel and we got:
The figure shows the calculation for this case.
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 hardness 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 and we got:
The figure shows the calculation for this case.
Answer:
The m∠ U is 72°.
Step-by-step explanation:
Given:
To find :
Solution:
The sum of the measures of the interior angles of a polygon with 'n' sides is given as
Here we have n = 5 on substituting the values we get
Therefore,
m∠ U is 72°.