Answer:
Step-by-step explanation:
The <u><em>Triangle external angle theorem</em></u> states that :An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see
see the attached figure with letter to better understand the problem
step 1
Find the measure of the interior angle at B
we know that
----> by supplementary angles (form a linear pair)
step 2
Find the value of x
Applying the triangle external angle theorem
solve for x
simplify
Answer:
And we can find this probability using the complement rule and with excel or the normal standard table:
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 weights 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 complement rule and with excel or the normal standard table: