Answer: Expected value of playing the game is $0.
Step-by-step explanation:
Since we have given that
Total number of colored chips = 20
Number of blue chips = 2
Number of purple chips = 4
Number of green chips = 7
Number of red chips = 7
Amount of prize he gets for blue chip = $10
Amount of prize he gets for a purple chip = $5
No amount is given for red or green
Amount he had to pay = $2
So, Expected value of playing the game is given by
Hence, Expected value of playing the game is $0.
Answer:
A cardioid
Step-by-step explanation:
A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.
The equation of vertical cardioid is 
± 
Given the polar curve is 
4 
This is an equation of vertical cardioid.
So, it represents a cardioid.
Answer:
5 is D
6 is C
Step-by-step explanation:
Define:
Equilateral - All sides and angles are congruent
Isosceles: Two congruent sides and two congruent angles
Scalene: No congruent sides or angles
Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )
obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )
Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )
Answer:
the triangle shown in # 5 has a right angle and 2 congruent sides and angles
Therefore the triangle in #5 is a right isosceles
The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.
The slope of the ramp would be 5/9
