Answer:
0.6154
Step-by-step explanation:
Using Baye's theorem, the probability that the flip resulted in a head If the selected marble selected is red is given by;
P( H | R ) = (P( R | H ) × P( H ))/[(P( R | H ) × P( H)) + (P( R | -H ) × P( -H ))]
We can deduce that;
P( R | H ) = 4/10 = 0.4
P( R | -H ) = 3/8 = 0.375
P( -H ) = 1 - P( H )
We are given P(H) = 0.6
Thus;
P( -H ) = 1 - P( H ) = 1 - 0.6 = 0.4
Plugging in the derived values into the derived Baye's theorem, we have;
P( H | R ) = [0.4 × 0.6] /[(0.4 × 0.6) + (0.375 × 0.4)]
P( H | R ) = 0.6154
X=7 (let me know if you would like to know how I got the answer)
Assuming that (-3x + 4) and (2x + 7) are two legs of a rectangle, you can find the perimeter like this: P = 2*length + 2*width.
P = 2*(-3x + 4) + 2*(2x + 7)
P = -6x + 8 + 4x + 14
P = -2x + 22
Hope this helps! :)
Answer:
3
Step-by-step explanation:
If you notice the y is the change in distance, so #3 has the best explanation.