Justin wants his new treehouse to blend in with the leaves, so he decides to paint it green. He mixes some white paint and green
1 answer:
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Answer:
Step-by-step explanation:
1) 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 the scores, 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
2) Calculate the probability
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:
Answer:
Length of the building = 30 meters
Step-by-step explanation:
Given:
Length of pole = 5 meters
Length of shadow of pole = 3 meters
Length of shadow of the building = 18 meters
To find length of the building.
Solution:
On drawing the figure of the given situation, we get two similar triangles.
Applying proportionality theorem of similar triangles.
Plugging in the given lengths.
Multiplying both sides by 18.
Thus, length of the building = 30 meters
