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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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divide both by 106 it gives 2720

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Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the
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Answer:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation y = -x^{2} + 5\cdot x + 24 is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (\Delta x) and the height of the archway at its highest point (\Delta y) are, respectively:

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3 years ago
HELP NOW PLEASE I GOTYA PASS
Ulleksa [173]
Following transformations on Triangle ABC will result in the Triangle A'B'C'

a) Reflection the triangle across x-axis
b) Shift towards Right by 2 units
c) Shift upwards by 6 units

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A (1,9)
B (3, 12)
C (4, 4)

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B' (5, -6)
C' (6, 2)

First consider point A of Triangle ABC.
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Coordinates of B are (3,12). Reflecting it across x-axis, we get the new point (3, -12). Moving 2 units towards right, the point is translated to (5, -12). Moving 6 units up we get the point (5, -6), which are the coordinate of B'. 

The same way C is translated to C'.

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