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avanturin [10]
3 years ago
8

Disjoint, Independent, and Complement State whether the two events (A and B) described are disjoint, independent, and/or complem

ents. (It is possible that the two events fall into more than one of the three categories, or none of them.) Australia plays Argentina for the championship in the Rugby World Cup. At the same time, Ukraine plays Russia for the World Team Chess Championship. Let A be the event that Argentina wins their rugby match and B be the event that Ukraine wins their chess match. Disjoint
Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

Independent Events

Step-by-step explanation:

Two events are mutually exclusive or disjoint if they cannot both occur at the same time.

Two events are independent if the probability of occurrence of one does not affect the probability of occurrence of the other.

The complement of any event B is the event [not B], i.e. the event that B does not occur.

Australia plays Argentina for the championship in the Rugby World Cup.

At the same time, Ukraine plays Russia for the World Team Chess Championship.

A = event that Argentina wins their rugby match.

B = the event that Ukraine wins their chess match.

The two events A and B are Independent as the outcome of one does not affect the outcome of the other

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olga2289 [7]
Answer:  9 1/3 - 2/3 =  8  2/3 .
___________________________________

Note:  If the answer were "8 1/3" ; 

then:  "8 1/3 + 2/3 =? 9 1/3 ? "  

      → "8 1/3 + 2/3 = 8  3/3 = 8 + 1 = 9 = only "9" ;
____________________________________________
So the answer has to be MORE than "8 1/3"

Try "8 2/3"  → "8 2/3 + 2/3 =? 9 1/3?" ?? ; 
        
                  → "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
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 So, the answer is:  "8  2/3" .
_________________________________________________
Another method:
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Given the problem:  "<span>9 1/3 - 2/3 " ;
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Note that:  "2/3 = 1/3 + 1/3"
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So, "</span><span>9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
 ________________________________________________
   Start with:  "</span>9 1/3 - 2/3" = 9.  Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
<span>______________________________________________________
</span>Another method:
____________________________
Given the problem:  
____________________________
  "9 1/3 - 2/3 = ?? " ;
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  Convert "9 1/3" into "28/3" ;  ("3*9 = 27"); ("27+1=28");
                                           (The "3" comes from the "3" in the: "1/3" portion.)
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  So, we rewrite as:  
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   28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8  2/3 .
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3 0
3 years ago
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Allushta [10]
I think the answer may (0,0). This is just a guess
8 0
3 years ago
submarine A is currently at a depth of 432 feet below sea level Submarine B is onky at a depth of 3/4 as much as Submarine A. Wh
alexandr402 [8]
Well you could multiply 432 by 0.75, or you can divide it by 4 and then multiply it by 3. Either way your answer is 324.
8 0
3 years ago
PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!
pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

  • \cos{\theta} = \pm \frac{2\sqrt{2}}{3}
  • \tan{\theta} = \pm \frac{\sqrt{2}}{4}

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

\sin^{2}{\theta} + \cos^{2}{\theta} = 1

In this problem, we have that the sine is given by:

\sin{\theta} = \frac{1}{3}

Hence, applying the identity, the cosine is given as follows:

\cos^2{\theta} = 1 - \sin^2{\theta}

\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2

\cos^2{\theta} = 1 - \frac{1}{9}

\cos^2{\theta} = \frac{8}{9}

\cos{\theta} = \pm \sqrt{\frac{8}{9}}

\cos{\theta} = \pm \frac{2\sqrt{2}}{3}

The tangent is given by the sine divided by the cosine, hence:

\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}

\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}

\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}

\tan{\theta} = \pm \frac{\sqrt{2}}{4}

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

5 0
2 years ago
Suppose a candidate for public office is favored by only 48% of the voters. if a sample survey randomly selects 2500 voters, the
Drupady [299]
Mean=0.48
standard deviation=0.01
thus using the z-score:
P(x>0.5) we shall have the following:
z=(0.5-0.48)/0.01=2
thus
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=1-P(x<0.5)
=1-P(z<2)
=1-0.9772
=0.0228
7 0
3 years ago
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