The coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)
<h3>Reflection of coordinates</h3>
If a coordinate (x, y) is reflected across the x-axis, the resulting coordinate after reflection is (x,-y)
Note that the y-ccordinate is negated after the reflection.
Given the coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)
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Answer:
Nothing left
Step-by-step explanation:
Nothing left
2/7+4/5=38/35
1 3/35
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)
Solve it like this. x + (x+1) + (x+2) + (x+3) = 286
4x + 6= 286
4x= 280
x = 70
70+71+72+73=286