Answer:
50% increase
Step-by-step explanation:
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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:
ans: 37/ 32
Step-by-step explanation:
(33/8 + 1/2 ) / ( 4/5 ×2)
= { ( 33 + 4) / 8} / ( 8 / 2)
= 37/ (4×8)
= 37 / 32
Answer:
2/3 x (-6) ×5 = -20/
1
= -20
Step-by-step explanation:
Multiple: 2/
3
* (-6) = 2 · (-6)/
3 · 1
= -12/
3
= -4 · 3/
1 · 3
= -4
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12, 3) = 3.
In words - two thirds multiplied by minus six = minus four.
Multiple: the result of step No. 1 * 5 = -4 * 5 = -20
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For this case we have the following operation:
538 - 247
To subtract both numbers we must follow the following steps:
1) Subtraction is done from left to right:
2) We subtract the first digits:
8 - 7 = 1
3) We subtract the second digits:
3 - 4
Since 4 is greater than 3 then we add a digit to 3 and accumulate it for the next subtraction:
13 - 4 = 9
4) We subtract the digit accumulated in the previous subtraction to the following number:
5 - 2 - 1 = 2
Finally the result is:
538 - 247 = 291