In your sock drawer you have 6 blue, 7 gray, and 2 black socks. Half asleep one morning you grab 2 socks at random and put them
1 answer:
Answer:
a) 0.1429
b) 0.2667
c) 0.3067
d) 0.3524
Step-by-step explanation:
Blue = 6
Gray = 7
Black = 2
Number of socks = 15
a) 2 blue socks.
The probability of getting two consecutive blue socks is:
b) no gray socks.
The probability of getting no grey socks with two picks is:
c) at least 1 black sock.
The probability of getting at least one black sock is:
d) matching socks.
The probability of getting matching socks is the sum of the probabilities of getting 2 black, 2 blue or 2 gray socks:
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300 degrees is 60 degrees less than 360 degrees, which is a full rotation. Thus, 300 degrees counterclockwise is the same as 60 degrees clockwise.
Note that this shape is a hexagon. Thus, we can divide a hexagon into 6 equilateral triangles, each with measures of 60 degrees. Just move OQ to the adjacent clockwise equilateral triangle and see what it overlaps with.
OQ is the altitude of the equilateral triangle, so our answer will be the altitude of the adjacent clockwise equilateral triangle.
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300 degrees is 60 degrees less than 360 degrees, which is a full rotation. Thus, 300 degrees counterclockwise is the same as 60 degrees clockwise.
Note that this shape is a hexagon. Thus, we can divide a hexagon into 6 equilateral triangles, each with measures of 60 degrees. Just move OQ to the adjacent clockwise equilateral triangle and see what it overlaps with.
OQ is the altitude of the equilateral triangle, so our answer will be the altitude of the adjacent clockwise equilateral triangle.
The answer is OF.