The life of a cell phone battery is a normal distribution with a mean of 10.5 hours and a standard deviation of one hour. The bo
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The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer
Step-by-step explanation:
In a regular n-side polygon:
- All sides are equal in lengths
- All angles are equal in measure
- The measure of each interior angle =
- The measure of each exterior angle =
- The sum of interior angle and exterior angle at a vertex is 180°
∵ The measure of an interior angle of a regular polygon is 120°
∵ The sum of interior angle and exterior angle at a vertex = 180°
∴ The measure of each exterior angle = 180 - 120
∴ The measure of each exterior angle = 60°
∵ The measure of each exterior angle =
- Substitute the measure of the exterior angle by 60
∴
- By using cross multiplication
∴ 60 n = 360
- Divide both sides by 60
∴ n = 6
∴ The polygon has 6 sides
The measure of each exterior angle is 60° and the polygon has 6 sides
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Answer: The required probability is
Step-by-step explanation:
Since we have given that
Number of kids = 10
Number of kids in Team A = 5
Number of kids in Team B = 5
There are three kids in the group, Alex and his two best friends Jose and Carl.
So, number of favourable outcome is given by
Total number of outcomes is given by
So, the probability that Alex ends up on the same team with at least one of his two best friends is given by
Hence, the required probability is