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Marat540 [252]
3 years ago
9

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six black marbles.

A person draws one marble from each bag. Find the probability that both marbles are of the same color? 21/40 1/2 3/14
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0

Answer:

The correct answer is option A,

21/40\\

Step-by-step explanation:

The probability of choosing marble from each bag is independent of each other. Thus, the probability of drawing a black and white marble from each bag can be added directly.  

The probability of getting both white marbles  

= 3/8 * 4/10\\=12/80

The probability of getting both black marbles  

5/8 * 6/10\\= 30/80\\

The probability of getting the marbles of same colour is  

12/80 + 30/80\\=42/80\\= 21/40\\

Troyanec [42]3 years ago
5 0
It will be 21/40

probability getting both white marbles

3/8×4/10=12/80

probability getting both black marbles

5/8×6/10=30/80

12/80+30/80=42/80= 21/80
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The height of an object thrown upward with an initial velocity of 32 feet per second is given by the formula h = −16t2 + 32t, wh
andre [41]

Answer:

Therefore  after 1 second of lunched the object reach a height of 16 feet.

Step-by-step explanation:

When a particle is thrown vertically upward direction on that time only gravitation force is worked on it. In that case the acceleration of the particle is - g.Since gravitation force works downward direction and the displacement of the particle is upward direction that's why acceleration is negative.

When particle comes down the the acceleration of the particle is g.

Since the displacement and acceleration work on the particle in same direction.

The value of g is 9.8 m/s².

Given that, the height of the particle can measure from the equation

h=-16t^2+32t       Where t is time in second

To find out the time when the object reach a height 16 feet. We have put the value of h in the given equation.

Putting h=16 in the given equation

16= -16 t²+32

⇒16t²-32t+16=0

⇒16(t²-2t+1)=0

⇒t²-2t+1=0²         [ ∵16≠0]

⇒(t-1)²=0

⇒t-1=0

⇒t=1

Therefore  after 1 second of lunched the object reach a height of 16 feet.

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Which ordered pair is generated from the equation shown below? y = 3x + 2 A. (3, 11) B. (3, 9) C. (5, 15) D. (2, 4)
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Answer:

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<u>First find what are the 2 pair that given by slope =3</u>

First consider A. (3, 11)  and B. (3, 9)

Tan α = \fraction(11-9)(3-3)

It is undefine.

Next consider A. (3, 11)  and BC (5,15)

Tan α = \fraction(15-11)(5-3)

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Next consider A. (3, 11)  and D. (2,4)

Tan α = \fraction(11-4)(3-2)

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Tan α = \fraction(15-9)(5-3)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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