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insens350 [35]
3 years ago
12

A single fair die is rolled. What if event A stays the same, i.e., A={2,4} but B={2,4,5}. Event A is independent with event B. T

rue or False?
Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

False.

Event A and event B are not independent.

Step-by-step explanation:

We know that event A and event B are

A= {2,4} and B= {2,4,5}.

If the following condition satisfies then event A and event B are independent:

P( A and B)= P(A)*P(B).

Now A and B=?

A and B=A∩B= {2,4} ∩ {2,4,5}

A and B=A∩B={2,4}

The single fair die results in 6 outcomes so, the sample space will contain 6 elements.

Thus,

P(A∩B)=2/6=1/3

P(A)=2/6=1/3

P(B)=3/6=1/2

P(A)*P(B)=1/3*1/2=1/6

As,

P(A∩B)≠P(A)*P(B)

1/3≠1/6

Thus, events A and event B are dependent.

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Feliz [49]

Answer:

6)  x = 40.5

8)  x = 16.5

Step-by-step explanation:

6) 45/x = 20/18

simplify and cross-multiply to get:

45/x = 10/9

10x = 405

x = 40.5

8) 22/8 = x/6

11/4 = x/6

4x = 66

x = 33/2

x = 16.5

8 0
2 years ago
A right triangle in which one acute angle is a reference angle for a 75° angle in standard position intersects the unit circle a
vampirchik [111]

Alright, lets get started.

Please take a look at the diagram attached.

The reference angle of 75 will be 75

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So, finding cos

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cos 75 = \frac{0.259}{1}

cos 75 = 0.259    :   Answer

Hope it will help :)


7 0
3 years ago
Please help!! giving brainlest , please be serious. due in a few minutes thanks!
Margaret [11]

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7 0
2 years ago
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In triangle ABC, what is the length of side bif B = 48°, C= 81°, and c= 25?
Mashcka [7]

Answer: The correct option is D: Is alloyed with carbon and chromium to make stainless steel.

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7 0
3 years ago
2(x-3)^2+10=82 solve by isolating x
Leviafan [203]
We have the following equation:
 2 (x-3) ^ 2 + 10 = 82
 We must clear x.
 We pass the constant terms to one side of the equation:
 2 (x-3) ^ 2 = 82 - 10
 2 (x-3) ^ 2 = 72
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 Square root to both members:
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x1 = 9
 
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7 0
3 years ago
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