Explain how to graph y > 2x +3
1 answer:
>; < - dot line
≥; ≤ - solid line
>; ≥ - shading above the line
<; ≤ - shading below the line
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y = 2x + 3 - it's a linear function. We only need two points to plot the graph. Select two any x values and calculate the y values:
for x = 0 → y = 2(0) + 3 = 0 + 3 = 3 → (0, 3)
for x = -2 → y = 2(-2) + 3 = -4 + 3 = -1 → (-2, -1)
y > 2x + 3
Dot line an shading above the line (look at the picture).
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Answer:
a) 0.73684
b) 2/3
Step-by-step explanation:
part a)
Using conditional probability as above:
(A,B,C)
Cases for numerator when:
P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)
=
Cases for denominator when:
P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)
Hence,
Part b
Cases for denominator when:
P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)
Cases for numerator when:
P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)
Hence,