Answer:
$13.77
Step-by-step explanation:
To find what one yard would cost you would take the price and divide it by the number of yards. In this case, 1 yard happens to cost $4.59. You then multiply 4.59 times 3 to get 13.77
No, a hexagon has 6 sides 6 angles
Answer
x>21.2
Step-by-step explanation:
7.55x+100>160
-100 on both sides
7.55x>60
/ 7.55 on both sides
x>21.2
That is a bit of a high number, but im pretty sure that I did the math right
> is less than or equal to in this equation bc idk how to make the real sign
You have to square the binomial.
(x^3 + 4y) (x^3 + 4y)
Using FOIL:
x^9 + 4(x^3)y + 4(x^3)y + 16y^2
x^9 + 8(x^3)y + 16y^2
You could also use the formula: (a+b)^2 = (a^2 + 2ab + b^2).
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%.
