Step-by-step explanation:
x² = 50²+ 55² - 2 • 50 • 55 • cos61°
Known facts:
- total number of students on the council: 35
- 60% of the council students are boys
Results:
- therefore 40% of the total number of council students are girls.
Calculation:
Therefore there are 14 girls.
Hope that helps!
Answer:
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".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case
Solution to the problem
We want this probability:
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:
(-5, -8)
(x, y)
would be your answer