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2 years ago

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01:57:09 In a city, the distance between the library and the police station is 3 miles less than twice the distance between the

police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

1 answer:

tester [92]2 years ago

8 0

Answer:

Distance between the police station and the fire station be 4 miles

Step-by-step explanation:

Let distance between the police station and the fire station be x miles.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

Distance between the library and the police station $=2x-3$

Also, distance between the library and the police station is 5 miles.

$2x-3=5\\2x=3+5\\2x=8\\x=\frac{8}{2}\\ x=4\,\,miles$

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Answer:

75.76% probability that there will be 10 or more customers at this bank in one hour.

Step-by-step explanation:

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In which

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$P(X = 1) = \frac{e^{-12}*12^{1}}{(1)!} = 0.0001$

$P(X = 2) = \frac{e^{-12}*12^{2}}{(2)!} = 0.0004$

$P(X = 3) = \frac{e^{-12}*12^{3}}{(3)!} = 0.0018$

$P(X = 4) = \frac{e^{-12}*12^{4}}{(4)!} = 0.0053$

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$P(X = 9) = \frac{e^{-12}*12^{9}}{(9)!} = 0.0874$

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Then

$P(X \geq 10) = 1 - P(X < 10) = 1 - 0.2424 = 0.7576$

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X=2. You use substitution to put the y=3x-5 into 6x+3y=15.
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6+9=15 -- 15+15=30
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