Answer:
Variance = 4.68
Step-by-step explanation:
The formula for the variance is:
Where:
The mean can be calculated as each value multiplied by its probability
Replacing the mean and the summatory of X:
So here we use the pythagorean theorem which is a2 + b2 = c2 (“a” squared times “b” squared equals “c” squared) the length from calvins house to the intersection is “a” and the length from phoebes house to the intersection is “b” so in order to find out the length of “c” (calvins house to phoebes house) we need to use the pythagorean theorem
a2 275x275=75,625
b2 113x113 = 12,769
so now that we have figured out what a2 and b2 are let’s add them
75,625 + 12,769 = 88,394
now since we only need to find out the length and not the area we need to find the square root of 88,394
the square root of 88,394 is 297.311 (i cut off the decimal after three places)
the direct length from phoebes house to calvins is 297.311 meters
Answer:
y = 4
Step-by-step explanation:
Since the line in question is parallel to the x axis, we can tell that going from one end of the line to the other, x value changes, but y value always stays the same and equals 4.
The interval
corresponds to the part of the distribution lying within 2 standard deviations of the mean (since 500-2*100=300 and 500+2*100=700). The empirical rule states that approximately 95% of the distribution is expected to fall in this range.
