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Tasya [4]
3 years ago
14

You randomly select one card from a​ 52-card deck. find the probability of selecting a redred fivefive or a redred fourfour.

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0
P(red 5) =  2/52 = 1/26
P(red 4)  =  1/26

P( red 4 OR red 5)  = 1/26 + 1/26  = 1/13 answer
inysia [295]3 years ago
3 0
There is 2 red fives in a deck ( Hearts and Diamonds) and 2 red fours, for a total of 4 possible cards.

This would give a probability of 4/52, which reduces to a 1/13 probability.
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While playing baseball, sofia takes note of the extreme vectors for which she bats. what is the angle between her two extreme ba
k0ka [10]

The angle between the two extreme vectors of Sofia bats is 74.60 degrees.

In this question,

The angle between two vectors will be deferred by a single point, which is called as the shortest angle at which we have to turn around one of the vectors to the position of co-directional with another vector.

The extreme vectors of Sofia bats are  \vec u = < -8, 12 > and \vec v = < -8, 12 >

The angle between the vectors is

\theta = cos^{-1} \frac{\vec u.\vec v}{||\vec u|| ||\vec v||}

The dot product is calculated as

\vec u. \vec v = (-8)(13)+(12)(15)

⇒ -104+180

⇒ 76

The magnitude can be calculated as

||\vec u|| = \sqrt{(-8 )^{2} +(12)^{2} }

⇒ \sqrt{64+144}

⇒ \sqrt{208}

||\vec v|| = \sqrt{(13 )^{2} +(15)^{2} }

⇒ \sqrt{169+225}

⇒ \sqrt{394}

Thus the angle between the vectors is

\theta = cos^{-1} \frac{76}{(\sqrt{208} )(\sqrt{394} )}

⇒ \theta = cos^{-1} \frac{76}{\sqrt{81952} }

⇒ \theta = cos^{-1} \frac{76}{286.27 }

⇒ \theta = cos^{-1} (0.2654)

⇒ \theta=74.60

Hence we can conclude that the angle between the two extreme vectors of Sofia bats is 74.60 degrees.

Learn more about angle between two vectors here

brainly.com/question/19726452

#SPJ4

5 0
2 years ago
A cylinder has a radius of 5cm and a height of 9cm find its total area
Sauron [17]

Answer: 706.5

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First you have to square the radius. So for this question you multiply 5x5. That makes 25. Then you multiply that with pi ( 3.14 ) and that makes 78.50. Next you multiply it by 9, that makes 706.5.

7 0
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