The area of this shape is 12.
Area of a triangle = 1/2 x bh
b= base
h = height
So,
1/2 (6)(4)=12
Hope this helps!
Answer:
Percentage of balls which are red = 80%.
Step-by-step explanation:
Let the probability of drawing a red ball be x then the probability of drawing a white ball is 1-x.
There are 5C3 = 10 ways of getting 3 reds in 5 draws so the probability of this is 10* x^3 * (1 - x)^2.
The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.
The first probability is 32 times the last.
So we have the equation:
10x^3(1 - x)^2 / 5x(1 - x)^4 = 32
2x^2 / (1 - x)^2 = 32
2x^2 = 32(1 -x)^2
2x^2 = 32( 1 - 2x + x^2)
2x^2 = 32 - 64x + 32x^2
30x^2 - 64x + 32 = 0
15x^2 - 32x + 16 = 0
(5x - 4)(3x - 4) = 0
x = 0.8, 1.333...
The probability must be < 1 so x = 0.8 = 80%.
It would be distributive because you distribute what is in the parentheses
The answer is 1/2 or 8/16 if it asks not to simplify
Answer:
-y+z
Step-by-step explanation:
You didn't list a full equation. Is this is as far as you can simplify this with the info given. to get it to that point just subtract 2y from y. If you meant Y=z-2y then the answer would be 3y=z or Y=z/3 (the same things just more is more simplified). For a more complete answer gove more information.
