A. The theoretical probability for pink is 95/185 or about 51.35%
B. The theoretical probability for brown is 90/185 or about 47.82%.
C. To find the experimental probability, we will make another fraction. The number of outcomes will be the numerator and the total will be the denominator.
Pink 36/69 = 52.17%
Brown 33/69 = 47.82%
Simplifying
3[x + -1] = 12
Reorder the terms:
3[-1 + x] = 12
[-1 * 3 + x * 3] = 12
[-3 + 3x] = 12
Solving
-3 + 3x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 3x = 12 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = 12 + 3
3x = 12 + 3
Combine like terms: 12 + 3 = 15
3x = 15
Divide each side by '3'.
x = 5
Simplifying
x = 5
Answer:
Radius of cylinder is r = 8.464 cm
Step-by-step explanation:
Volume of right cylinder = 3600 cm³
Height of cylinder = 16 cm
Radius of cylinder = ?
The formula used is: 
Putting values and finding radius
So, Radius of cylinder is r = 8.464 cm
Three numbers you can multiply to get 160. First, we make an equation.
Since 160 is divisible by 4, we will make the equation this.
(#1 * #2 * 4 = 160)
Divide 160 by 4, and you get this. #1 * #2 = 40
Now, we divide 40 by 2.
The final answer is 2, 20, and 4.
2x20x4= 160
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
