Please help with math. I'm not sure about this question and I'm not very well at graphing! Is anybody able to show me the soluti
on and graph form of these two answers?
2 answers:
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Answer:
The number of observations in the data set expected to be below a value of 231 is of 4793.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 195
Standard deviation = 12
The normal distribution is symmetric, which means that 50% of the observations are above the mean and 50% are below.
Proportion of observations below 231:
231 = 195 + 3*12
So 231 is three standard deviations above the mean.
Of the 50% of observations below the mean, all are below 231.
Of the 50% of observations above the mean, 99.7% are between the mean of 195 and three standard deviations above the mean(231).
So, the proportion of observations below 231 is:
Out of 4800:
0.9985*4800 = 4793
The number of observations in the data set expected to be below a value of 231 is of 4793.
Answer:
h = 3.62
Step-by-step explanation:
First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:
Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:
Finally the height of this new triangle is 3.62 cm