Answer:
Step-by-step explanation:
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:
I believe the answer is 4 and 1/2
Step-by-step explanation:
since its past 4 and it's between the for 4 and the three
We have a triangle where.
a=adjacent leg of A=30 ft
A=90º-(angle of depression)=90º-10º=80º
b=distance between the base of the lighthouse and the ship
tan A= opposite /adjacent.
tan 80º=b /30 ft ⇒b=(30 ft)(tan 80º)≈170.14 ft
Answer: the distance would be 170.14 ft