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Alika [10]
3 years ago
12

The probability of event A occurring given that event B has already occurred is 0.61. The probability of both events occurring i

s 0.5. What is the probability of event B occurring?
Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

P(B)= 0.305

Step-by-step explanation:

Hello!

This exercise is an application of conditional probabilities.

You know that the definition of a conditional probability is:

P(A/B) = \frac{P(AnB)}{P(B)}

And

The probability of A occuring, given that B has already ocurred is P(A/B)= 0.61

The probability of A and B ocurring at the same time is P(A∩B)= 0.5

You can clear the probability of B from the equation:

P(B)= P(A/B)*P(A∩B)= 0.61*0.5= 0.305

I hope you have a SUPER day!

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A candle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. He melts i
Veronika [31]

Answer:

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

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Please answer questions 7 and 9!! I need help and show work and explain
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Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>Question 7:</em>  Is the Graph a 1-to-1?

The answer is: No

<em>Reason: </em>If you look at the graph, you see that when the x value is -1 the y value is -2, when x is 0, y is 0.  When x is 1, y is 2, when x is 3, y is 4, and so on and so on...


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I hope this helped, if it did, please do not forget to give a "Thanks" and a 5 star rating...

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3 years ago
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2x + 3y = 12

I am going to put this in y = mx + b form, where m is ur slope and b is ur y intercept.
2x + 3y = 12
3y = -2x + 12
y = -2/3x + 4......slope is -2/3 and y int is (0,4)

x int can be found by subbing in 0 for y and solving for x
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start at y int (0,4).....and since the slope is -2/3, come down 2 spaces, and to the right 3 spaces, then down 2 spaces, to the right 3 spaces....keep doing that and u should cross the x axis at (6,0)
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