Answer:
2/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 10 balls of which 3 green, 3 red, and the rest yellow
Number of yellow balls = 10 - 3 - 3 = 4
Probability of picking a;
Green ball = 3/10
Red ball = 3/10
Yellow ball = 4/10
If two balls are picked without replacement, the probability that one is at least yellow will be
YR RY YG GY YY
= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9
=12/90 *5
= 2/3
Answer:
2
Step-by-step explanation:
the formula is y=mx+b
b is the y in which is 3
the m means slope which is in front of the x
so the slope is 2
Answer:
It is a perfect square expression.
It factors to (x+2)^2
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Explanation:
The general format for a perfect square is
(a+b)^2 = a^2 + 2ab + b^2
Which can be seen through the use of the FOIL rule.
Compare x^2+4x+4 with a^2+2ab+b^2, and we have these three equivalences:
- x^2 = a^2 .... first terms
- 4x = 2ab .... middle terms
- 4 = b^2 .... last terms
Since x^2 = a^2, we can apply the square root to both sides to get a = x. Similarly, 4 = b^2 leads to b = 2. We could get b = -2, but that would mean 2ab = 2x*(-2) = -4x instead of 4x. So we'll stick with b = 2 instead.
Because a = x and b = 2, we then can say:
(a+b)^2 = a^2 + 2ab + b^2
(x+2)^2 = x^2 + 2*x*2 + 2^2
(x+2)^2 = x^2 + 4x + 4
Showing that x^2+4x+4 factors to (x+2)^2.
Subtract 1/4 x because you wanna isolate y
