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12345 [234]
3 years ago
12

Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper

B right-parenthesis equals 0.5. Then Upper P left-parenthesis Upper A intersection Upper B right-parenthesis is____________.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

The value of P (A ∩ B) is 0.25.

Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.

For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

P (X\cap Y)=P(X)\times P(Y)

It is provided that events <em>A</em> and <em>B </em>are independent of each other.

And P (A) = P (B) = 0.50.

Compute the value of P (A ∩ B) as follows:

P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25

Thus, the value of P (A ∩ B) is 0.25.

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There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
zavuch27 [327]

Answer:

40%

Step-by-step explanation:

Total amount is 15

6 out of the 15 amount are apples

Thus, 6/15 x 100 = 40%

Or

You could ask yourself, what number do I multiply by 15 to get to 100?

Then, multiply the top (numerator) by it.

The value of the numerator will give you the final % (percentage) due to percentage being out of 100.

Hope this helps!

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Step-by-step explanation:

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3 years ago
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3 years ago
Use the given x and y values to write a direct variation<br> equation.<br> x = 2, y = 30
exis [7]

Answer:

y = 15x

Step-by-step explanation:

Given x and y are in direct variation then the equation relating them is

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5 0
3 years ago
Read 2 more answers
140 degrees decreased by 65%
BaLLatris [955]
Hey there! 
<span>Here are the steps involved: 
</span>
1.Change 65% into a decimal. Move the decimal two places to the left and you get 0.65.

2. Multiply 0.65 by 50.
<span>140 x 0.65 = 91.

3. Since you are decreasing 140 by 65%, subtract 140 by 91. 
140-91= 49


</span><span>(If you feel that my answer has helped you, please consider rating it and giving it a thank you! Also, feel free to make the best answer, the brainliest answer!)
</span>
<span>Thank you! :D</span>


7 0
3 years ago
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