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Maurinko [17]
3 years ago
10

Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thiev

es. The Captain has probability 4/9 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/4 ​​.If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer: Probability that both the pirate and the Captain hit each other's ships is \frac{1}{9}

Step-by-step explanation:

since we have given that

Probability that the captain hits the pirate ship is given by

\frac{4}{9}

Probability that the pirate hits the Captains's ship is given by

\frac{1}{4}

So, we have to find the "Probability that both the pirate and the Captain hit each other's ship"  is given by

P(\text{Captain hits})\times P(\text{ Pirates hit})\\\\=\frac{4}{9}\times \frac{1}{4}\\\\=\frac{1}{9}

Hence, probability that both the pirate and the Captain hit each other's ships is \frac{1}{9}

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The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2
Vera_Pavlovna [14]
<h2>Hello!</h2>

The answer is:

The x-coordinate of the solution to the system of equations is:

x=-2

<h2>Why?</h2>

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.

5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2

Now, substituting "y" into the first equation, to isolate "x" we have:

y=x+4\\\\2=x+4\\\\x=2-4=-2

Hence we have that the x-coordinate of the solution to the system of equations is

x=-2

Have a nice day!

3 0
3 years ago
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Answer:

Step-by-step explanation:

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azamat
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\sqrt{(0.65*(1-0.65))/200} = 0.0337 or 3.37%

answer is A.
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Answer:

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Step-by-step explanation:

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