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.
Divide both by a number that can go into both terms so it will be 5 .

which is 5(c-3)
Answer is -8
(-1)+(-7) turns into (1)+(7)=8 and then back to original which will be -8
Rate is given by:
rate=(distance )/(time)
Martin's rate will be:
(3 1/3)/(1/6)
=(10/3)/(1/6)
=20 meters per hour
Alexia's rate is:
(17 1/2)/(5/6)
=(35/2)/(5/6)
=21 meters per hour
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90