A regular polygon whose each interior angle equals 120° is called a Hexagon.
We know that if the interior angles of a polygon are equal, then the polygon is a regular polygon.
Also, by formula,
The sum of the interior angles of a regular polygon = (n - 2) × 180° where n = number of sides
And the interior angle of the polygon is given = 120°
So, the number of sides of the given regular polygon =
⇒ n = [(n - 2) × 180°] ÷ 120°
⇒ 120n = (n - 2) × 180°
⇒ 120n = 180n - 360°
⇒ 180n - 120n = 360°
⇒ 60n = 360°
⇒ n = 6
The number of sides of the regular polygon is 6 which means that the regular polygon is a Hexagon.
To know more about Polygons:
The probability of one woman to have height less than 64.4 in is 0.6293
Explanation:
Given:
Mean, μ = 64.4
Standard deviation, δ = 1.8
Probability that the height of the woman is less than 65 inch = ?
So,
P(x < 65) = 65 - μ / δ
P (x < 65) = P( z < 0.33)
Finding the probability value from the z table we get:
P( z < 0.33) = 0.6293
Therefore, the probability of one woman to have height less than 64.4 in is 0.6293