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
Answer:
B
Step-by-step explanation:
We can use the standard form of an exponential function:
The point (0, 18) tells us that <em>y</em> = 18 when <em>x</em> = 0. Hence:
Simplify:
Our equation is now:
Next, the point (-1, 15) tells us that <em>y</em> = 15 when <em>x</em> = -1. Hence:
Isolate the variable:
Hence:
By substitution:
Our answer is B.
Answer:
a' (-6,7) b' (-5,3) c'(-2,4)
Step-by-step explanation:
The answer is 5.92
Hope this helps!