11/12 + 1 3/4=
1 3/4 = 7/4 = 21/12
11/12 + 21/12 = 32/12 = 2 8/12 = 2 2/3 oz
Answer:
y>1
Step-by-step explanation:
y-1 > 0
Add 1 to each side
y-1 +1> 0+1
y>1
Answer:
0.6=6/10=3/5
Step-by-step explanation:
0.2+0.2+0.2
0.6
The tenth place wich means 6/10
Simplify by which gives you 3/5
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%.
Answer:
a. q= -p - 3
Step-by-step explanation:
8q+ 4p + 4= 4q - 8
8q (- 8q) + 4p + 4 = 4q (-8q) -8
4p +4 = -4q -8
4p + 4 (+8) = -4q -8 (+8)
4p + 12 = -4q
(4p + 12)/-4 = (-4q)/-4
-p -3 = q
