Answer: 40/81
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Work Shown:
B = selecting 1 blue
R = selecting 1 red
P(B) = 5/9, since there are 5 blue out of 5+4 = 9 total
P(R) = 4/9, since there are 4 red out of 9 total
P(2 blue) = P(B)*P(B) = (5/9)*(5/9) = 25/81
P(2 red) = P(R)*P(R) = (4/9)*(4/9) = 16/81
The last two equations are valid because we are sampling with replacement. Each selection is independent.
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P(2 same color) = P(2 blue OR 2 red)
P(2 same color) = P(2 blue) + P(2 red)
P(2 same color) = 25/81 + 16/81
P(2 same color) = (25+16)/81
P(2 same color) = 41/81
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P(2 different color) = 1 - P(2 same color)
P(2 different color) = 1 - 41/81
P(2 different color) = 81/81 - 41/81
P(2 different color) = (81-41)/81
P(2 different color) = 40/81
Answer:
m = -1, b = 5.
Step-by-step explanation:
We can find the slope, <em>m</em>, by plugging in our coordinates into the slope formula: 
. That gives us the slope. Now we can fill that in the slope intercept formula: 
. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.
Answer: 2.618 radians
Step-by-step explanation:
Answer:
g(3) = 8
g(-6) = -37
Step-by-step explanation:
g(x) = g(3) = 3^2-1 =8
g(x) = g(-6) = -6^2-1 = -37
Hope this helps!
Answer:
im not completely sure but i think its a
Step-by-step explanation:
