Please help me, it's also due today!!
2 answers:
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Find the area as iff it was a rectangle, then subtract the area of the triangle in the top left corner.
Area of rectangle = 20 x 18 = 360
Area of triangle = 1/2 x 4 x 3 = 6
Area of pentagon = 360 - 6 = 354 cm^2
See picture:
Answer:
And for this case we can use the complement rule and the normal standard distribution of 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 heights of a population, and for this case we know the distribution for X is given by:
Where and
And we select a sample size of n =70
From the central limit theorem (n>30)we know that the distribution for the sample mean is given by:
And we want to find this probability:
And we can use the z score formula given by:
And using this formula we got:
And for this case we can use the complement rule and the normal standard distribution of excel and we got: