Answer:
Step-by-step explanation

⇒ 80 + ( 2 * 0.01 ) + ( 9 * 0.001 )
⇒ 80 + 0.02 + 0.009
= 80.029
The right answer is not among those offered. The domain is
.. {-9, -6, 4, 7}
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The 4th selection {4, 7} is the best of those offered, but it is not correct.
(0,4)(4,0)
slope = (0 - 4) / (4 - 0) = -4/4 = -1
y = mx + b
slope(m) = -1
use either of ur points....(0,4)...x = 0 and y = 4
sub and find b, the y int
4 = -1(0) + b
4 = b
equation is : y = -x + 4....in standard form, it is : x + y = 4
I'm assuming you meant to say
P(A) = 2/3
P(A and B) = 1/3
If that is the case, then A and B are independent if and only if the following equation is true
P(A and B) = P(A)*P(B)
So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it
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P(A and B) = P(A)*P(B)
P(A)*P(B) = P(A and B)
(2/3)*P(B) = 1/3
P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3
P(B) = (1*3)/(3*2)
<h3>P(B) = 1/2 is the answer</h3>
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If P(B) = 1/2, then
P(A and B) = P(A)*P(B)
P(A and B) = (2/3)*(1/2)
P(A and B) = (2*1)/(3*2)
P(A and B) = 1/3
Which is the given probability for both events happening. This confirms we have the correct P(B) value.