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natulia [17]
3 years ago
14

What is the solution to this system of equations? x − 2y = 15 2x + 4y = -18

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0
Use the subtraction method.
 2 (x - 2y = 15)      multiply top equation by 2 so we can subtract

2x - 4y = 30
2x + 4y = -18   (subtracted, we get 4x = 12...divide by 4...x = 3)

place the value for X into an original equation and solve for Y.

2(3) + 4y = -18
6 + 4y = -18
-6            -6
4y = -24  (divide by 4)

y = -6      Solution......(3, -6)
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(3x^2a - 4y^a z^3a) ^2 ...?
shusha [124]
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8 0
3 years ago
Suppose that P(A)=0.5, P(B)= 0.4 and P(B/A) =0.6. Find each of the following.
Lady_Fox [76]

Part (a)

P(A) = 0.5

P(B) = 0.4

P(B/A) = 0.6

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

P(A and B) = 0.5*0.6

P(A and B) = 0.3

<h3>Answer: 0.3</h3>

==========================================

Part (b)

We'll use the result from part (a)

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.4 - 0.3

P(A or B) = 0.6

<h3>Answer: 0.6</h3>

===========================================

Part (c)

A and B are not independent since P(B) does not equal P(B/A). The fact that event A happens changes the probability P(B). Recall that P(B/A) means "probability P(B) based on event A already happened". A and B are independent if P(B) = P(B/A).

Events A and B are not mutually exclusive since P(A or B) is not zero.

<h3>Answer: Neither</h3>
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