Josan and Adamas want to play a video game together. Their parents let them earn credits for video game time by reading books.
1 answer:
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Answer:
a)
b)
c)
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".
Part a
Let X the random variable that represent the thickness 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 excel or the normal standard table:
Part b
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 excel or the normal standard table:
Part c
And we can find this probability using excel or the normal standard table liek this:
Answer:
Check Explanation
Step-by-step explanation:
The longer diagonal of a kite bisects the shorter diagonal.
The diagram of the kite is shown in the attached image to this solution.
The total area of the kite = The sum of the area of the two triangles that make up the kite.
Total area = (½bh + ½bh) = bh
b = 18x
h = (x/2)
Total area of the kite = (x/2)(18x) = 9x²
Just as the question predicts.
Hope this Helps!!!
