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vredina [299]
2 years ago
15

Captain gabriela has a ship, the h.m.s. khan. the ship is two furlongs from the dread pirate amos and his merciless band of thie

ves. the captain has probability \dfrac{3}{4} 4 3 ​ start fraction, 3, divided by, 4, end fraction of hitting the pirate ship. the pirate only has one good eye, so he hits the captain's ship with probability \dfrac{1}{4} 4 1 ​ start fraction, 1, divided by, 4, end fraction. if both fire their cannons at the same time, what is the probability that the pirate hits the captain's ship, but the captain misses?
Mathematics
2 answers:
zalisa [80]2 years ago
7 0
P(pirate hits) = 1/4
P(captain misses) = 1 - 3/4 = 1/4

We assume these events are independent, so their joint probability is the product of their individual probabilities:
  P(pirate hits & captain misses) = (1/4)·(1/4) = 1/16
Ostrovityanka [42]2 years ago
3 0

Answer:

answer is 1/10

Step-by-step explanation:

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Which of the following is a true statement for 0 degrees less than theta less than 90 degrees?
Grace [21]

Answer:

c

Step-by-step explanation:

See the graph for an example using the specific angles \theta=60^\circ , \,\, \180^\circ-\theta=120^\circ

See how the red segments are equal  in length but going in opposite directions?

\tan{60^\circ}=\sqrt{3} \\ \tan{120^\circ=-\sqrt{3}

a. This can't be correct: it says \tan{\theta} is equal to its opposite. That is never true in Quadrant I where all tangent values are positive.

b. Not true in Quad. I. Consider \tan{60^\circ}, \,\, \tan{30^\circ}.

5 0
2 years ago
How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1
kirill [66]

Answer:

The simplification for the expression is given as =( 7 + 2(a-3))/(a-3)

Step-by-step explanation:

To simplify the expression we will first convert the words to values in numbers and alphabets.

StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction

= 5/(a-3) -4/2 + 2/(a-3)

Having done that, let's move on and simplify the expression.

5/(a-3) -4/2 + 2/(a-3)

= 5/(a-3) -2+ 2/(a-3)

= 5/(a-3) + 2/(a-3) -2

= 7/(a-3) -2

=( 7 + 2(a-3))/(a-3)

7 0
2 years ago
At a red-tag sale, all items with red tags have been marked down by 49%. What should be the sale price of a DVD player having a
vampirchik [111]
Original price was $234.95
49% marked down = $234.95 *49 / 100 = $115.13

So now the sale price = original price - price of 49% marked down

sale price = $234.95 - $115.13 = $119.82

Answer: sale price of a DVD player having a red tag marked down by 49% should be $119.82
8 0
2 years ago
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probabilit
mr Goodwill [35]

Answer:

NOT VERY LIKELY

Step-by-step explanation:

• 1/2 OF THE CLASS TOOK FORM A

• 1/2 = 50%

• THE CHANCE CANNOT BE OVER 50%

• 39% OUT OF 50% PASSED

• 50% - 39% = 11%

• THE ANSWER IS NOT VERY LIKELY

5 0
2 years ago
A ball is thrown from a height of 43 meters
AveGali [126]
When the ball will hit the ground, the height will be zero. So we need to replace h with 0 in our equation, and solve for t:
0=43-4t-5t^{2}
-5t^{2}-4t+43=0
To solve this equation we are going to use the quadratic formula: t= \frac{-b(+/-) \sqrt{b^{2}-4ac} }{2a}.
From our height equation, we can infer that a=-5, b=-4, and c=43. So lets replace those values in our quadratic formula to find t
t= \frac{-(-4)(+/-) \sqrt{(-4)^{2}-4(-5)(43)} }{2(-5)}
t=- \frac{5}{8} - \frac{ \sqrt{713} }{8} or t=- \frac{5}{8} + \frac{ \sqrt{713} }{8}
t=-3.96 or t=2.71
Since time cannot be negative, t=2.71 is the solution of our equation.

We can conclude that the ball will hit the ground after 2.71 seconds.
4 0
2 years ago
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