In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by
requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulae for the area of a triangle, such as half the base times the height. Use Heron's Formula to find the area, in square yards, of ΔABC.
A. 16.493
B. 14.697
C. 13.829
D. 15.585
A. 16.493
B. 14.697
C. 13.829
D. 15.585
1 answer:
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Answer:
the fully simplified expression is:
Step-by-step explanation:
The like terms are:
-6 and -2, which combined give -8
and 6 x and x, which combine give 7 x
So the simplified form of this is:
The prbability that a normally distributed dataset with mean, μ, and standard deviation, σ, is between two values a and b is given by:
Given that the lengths of nails produced in a factory are normally distributed with a mean of 4.63 centimeters and a standard deviation of 0.06 centimeters.
To find the two lengths that separate the top 7% and the bottom 7%, Let the two required lengths be a and b, because of the symmetry of the normal curve, the probability that the length of a randomly selected nail is between these two lengths is given by:
Therefore, the two lengths that separate the top 7% and the bottom 7% are 4.54 and 4.72.
Given that the lengths of nails produced in a factory are normally distributed with a mean of 4.63 centimeters and a standard deviation of 0.06 centimeters.
To find the two lengths that separate the top 7% and the bottom 7%, Let the two required lengths be a and b, because of the symmetry of the normal curve, the probability that the length of a randomly selected nail is between these two lengths is given by:
Therefore, the two lengths that separate the top 7% and the bottom 7% are 4.54 and 4.72.