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.
Answer:
251 b + 21 or b = (-21)/251
Step-by-step explanation:
Simplify the following:
6 b - 7 (-35 b - 3)
-7 (-35 b - 3) = 245 b + 21:
245 b + 21 + 6 b
Grouping like terms, 245 b + 6 b + 21 = (6 b + 245 b) + 21:
(6 b + 245 b) + 21
6 b + 245 b = 251 b:
Answer: 251 b + 21
__________________________________________
Or if you need the Roots.
Solve for b:
251 b + 21 = 0
Subtract 21 from both sides:
251 b + (21 - 21) = -21
21 - 21 = 0:
251 b = -21
Divide both sides by 251:
Answer: b = (-21)/251
After solving the equation
we get values of x: 
Step-by-step explanation:
We need to find the value of x from the equation: 
Solving the expression:

Using the Zero Factor Principle: if ab=0 then a=0 and b=0
So, 

So, After solving the equation
we get values of x: 
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Answer:
<u>Numbers and plot location given below:</u>
<u />
- √15 = 3.9 located between 3.8 and 4.0
- √46 = 6.8 located between 6.7 and 6.9
- √55 = 7.4 located between 7.3 and 7.5
- √60 = 7.7 located between 7.6 and 7.8
- √96 = 9.8 located between 9.7 and 9.9
- √14 = 3.7 located between 3.6 and 3.9
- √22 = 4.7 located between 4.6 and 4.8
- √75 = 8.7 located between 8.6 and 8.9
- √34 = 5.8 located between 5.7 and 5.9
- √57 = 7.5 locate between 7.4 and 7.6
D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)
Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1