It would be 1 inch and 15 degree arc due to the act that the radius is half.
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Answer:
Step-by-step explanation: so to convert degrees to radians, you multiply your number by pi/180. You then have 96pi/180 radians. Reduce the fraction to simplest form and u have 8pi/15
Answer:
a = 2
b = 3
c = 8
Step-by-step explanation:
<em>2^5/4</em>=<em>2^5/2a</em>=<em>2^b</em>=<em>c</em>
<em>2^5/4</em>, 2^5 = 32, 32/4 = 8
so c, being what all of this is equal to, is 8
<em>2^5/2a</em>, 2*2=4
so a = 2
<em>2^b </em>= 8, ∛8 = 3
so b = 3
Hope my explanation makes sense :)
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%.
