Answer: The required probability is 
Step-by-step explanation: Given that an urn contains 6 red marbles and 4 black marbles. Two marbles are randomly drawn one by one from the urn without replacement.
We are to find the probability that both drawn marbles are black.
Let E and F denote the events of two marbles one by one without replacement and let S and S' denote the corresponding sample spaces.
Then, we have
Therefore, the probability that both marbles are red is given by
Thus, the required probability is
9514 1404 393
Answer:
- slope: 6; y-intercept: -3
- slope: 11; y-intercept: -1
- slope: 2; y-intercept: -13
- slope: 1; y-intercept: -6
Step-by-step explanation:
The slope is found using the slope formula. It works well to choose ordered pairs that only differ by 1 in their x-value.
m = (y2 -y1)/(x2 -x1)
The y-intercept is the y-value when x=0. If it is not in the table, it can be found from one point and the slope.
b = y1 -m·x1
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1) slope = (9 -3)/(2 -1) = 6
y-intercept = -9 -6(-1) = -3
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2) slope = (21 -(-1))/(2 -0) = 22/2 = 11
y-intercept = -1 . . . from table for x=0
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3) slope = (-9-(-11))/(2-1) = 2
y-intercept = -11 -(2)(1) = -13
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4) slope = (-4 -(-5))/(2 -1) = 1
y-intercept = -7 -1(-1) = -6
Answer:
d. parabola, 0°
Step-by-step explanation:
y² + 8x - 0
y² = -8x
Where x = cos t , y = sin t
Sin² t = -8 Cos t
1 - Cos² t = -8 Cos t
- Cos² t + 8 Cos t + 1 = 0
t = 2лπ ± (3 + √10) , л∈Z
Angle of rotation
An inequality because it is a equation that is not equal
Answer:
y=1/2x-1
Step-by-step explanation:
hope this helps
