Isolate "x" on one side of the algebraic equation by dividing the number that appears on the same side of the equation as part of "x."
The one that does not belong to Julie
Answer:
1. 3x-2y=-6
2. 3x+2y=6
Step-by-step explanation:
Answer:
A. 0.088
B. 0.048
C. 1.83 times
Step-by-step explanation:
From the question given above, the following data were obtained:
Green (G) = 4
Yellow (Y) = 5
Total = 4 + 5 = 9
A. Determination of the probability of selecting three green marbles with replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 4/9
P(3rd G) = 4/9
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 4/9 × 4/9
P(all G) = 64/729
P(all G) = 0.088
B. Determination of the probability of selecting three green marbles without replacement.
Green (G) = 4
Yellow (Y) = 5
Total = 9
P(1st G) = 4/9
P(2nd G) = 3/8
P(3rd G) = 2/7
P(all G) = P(1st G) × P(2nd G) × P(3rd G)
P(all G) = 4/9 × 3/8 × 2/7
P(all G) = 24/504
P(all G) = 0.048
C. Comparing probability of replacement and without replacement.
P(all G with replacement) = A = 0.088
P(all G without replacement) = B = 0.048
A/B = 0.088/0.048
A/B = 1.83
Cross multiply
A = 1.83 × B
Thus,
P(all G with replacement) = 1.83 × P(all G without replacement)
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