Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :
= -4.189
Thus it is not profitable to play the game.
a)
Dimensions: 7.5m x 4.5m
Cost , x= $14.17/m^2.
The area of the rectangular room can be calculated as,
Now, the cost of carpeting the rectangular room is,
Therefore, the cost of carpeting the room with dimensions 7.5m x 4.5m is $478.24.
b)
Dimensions: 17 yd. x 12 yd.
Cost, x= $25/yd^2.
The area of the rectangular room can be calculated as,
Now, the cost of carpeting the rectangular room is,
Therefore, the cost of carpeting the room with dimensions 17 yd. x 12 yd is $5100.
The tangent ratio is an illustration of the trigonometry identity
The value of x that is not a solution of tan(x) = 1 is 3/4
The trigonometry identity is given as:
tan(x) = 1
Next, we test the x values using a calculator.
When , we have:
tan(-7/4) = 1
When x = 3/4, we have:
tan(3/4) = -1
When x = 5/4, we have:
tan(5/4) = 1
When x = /4, we have:
tan(/4) = 1
Hence, the value of x that is not a solution of tan(x) = 1 is 3/4
Read more about trigonometry identity at: