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Alex_Xolod [135]
4 years ago
6

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

es.The Captain has probability of 1/2 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 2/7.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
2 answers:
umka21 [38]4 years ago
5 0

Answer:

0.1428 is the probability that both the pirate and the Captain hit each other's ships.

Step-by-step explanation:

We are given the following in the question:

Probability of captain hitting pirate's ship =

P(C)=\dfrac{1}{2}

Probability of pirate hitting captain's ship =

P(P) = \dfrac{2}{7}

If events are independent events, we can write:

P(A\cap B) =P(A)\times P(B)

We have to evaluate the probability that both the pirate and the Captain hit each other's ships.

P(C\cap P) = P(C) \times P(P)\\\\P(C\cap P) = \dfrac{1}{2}\times \dfrac{2}{7}  = \dfrac{1}{7} = 0.1428

0.1428 is the probability that both the pirate and the Captain hit each other's ships.

Vesna [10]4 years ago
5 0

Answer:

The answer is 1/7

Step-by-step explanation:

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Fantom [35]
A circle has 360 degrees 
so circumference = (360 / 60) * 3  =  6*3 = 18 feet
5 0
4 years ago
I need help! I'm *so* confused! I will mark Brainliest
Naddik [55]

Answer:

(-2,21)

Step-by-step explanation:

2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago.

8 days ago means that x-coordinate -8 represents this day. Count 8 units to the left and find that when x = -8, y = 24 minutes.

9 days ago means that x-coordinate -9 represents this day. Count 9 units to the left and find that when x = -9, y = 18 minutes.

Find halfway commute time between points (-8,24) and (-9,18):

y=\dfrac{24+18}{2}=\dfrac{42}{2}=21,

then coordinates that Paulo should graph are

(-2, 21)

(-2 means 2 days ago, 21 is the halfway)

5 0
3 years ago
PLZ HELP IM 100% LOST ON THIS
xenn [34]

The equation f(x)=g(x) is

|x-4|-11=-\sqrt{5x}

Some observations:

  • \sqrt{5x} is defined only as long as 5x\ge0, or x\ge0
  • wherever \sqrt{5x} is defined, its value must be non-negative, so that -\sqrt{5x} is never positive
  • by the definition of absolute value, we have |x-4|=x-4 if x\ge4, and |x-4|=-(x-4)=4-x if x. Then

|x-4|-11=\begin{cases}x-15&\text{for }x\ge4\\-x-7&\text{for }x

If x, the equation becomes

-x-7=-\sqrt{5x}\implies x+7=\sqrt{5x}

Taking the square of both sides gives

(x+7)^2=\left(\sqrt{5x}\right)^2\implies x^2+14x+49=5x\implies x^2+9x+49=0

but since the discriminant is 9^2-4\cdot1\cdot49, there are no real solutions.

If x\ge4, then

x-15=-\sqrt{5x}

Taking squares gives

(x-15)^2=\left(-\sqrt{5x}\right)^2\implies x^2-30x+225=5x

and solving by the quadratic formula gives two potential solutions,

x=\dfrac{35\pm5\sqrt{13}}2

which have approximate values of 8.49 and 26.51.

We know for any value of x that g(x)\le0. We have f(8.49)\approx-6.51 and f(26.51)\approx11.51, so only the first solution 8.49 is valid.

8 0
4 years ago
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Nata [24]

Hey there! :)

Answer:

m∠y = 55°.

Step-by-step explanation:

Begin by solving for x since y and x are supplementary angles.

Recall that all of the angles in a triangle must sum up to 180°. Therefore:

180 - 30 - 25 = 125°.

x = 125°, therefore:

180 - 125 = 55°.

m∠y = 55°.

4 0
3 years ago
Read 2 more answers
Please Help, i am so confused
Brut [27]

Answer: d

Step-by-step explanation:

d

5 0
3 years ago
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