Answer:
9/13 = 0.6923
Step-by-step explanation:
We start by defining
A as event that head was flipped
B1 = event that coin is biased
B2 = event that it is unbiased
P(B1) = 3/5
P(B2) = 2/5
P(A|B1) = 3/4
P(A|B2) = 2/4 = 1/2
When we solve this using bayes theorem we have to find
p(B1|A) = [P(B1) x P(A|B1)]/[P(B1) x P(A|B1) + P(B2) x P(A|B2)
= 0.6 x 0.75 / 0.6 x 0.75 + 0.4x0.5
= 0.45/0.45+0.2
= 0.45/0.65
= 0.6923
Answer:
Picture 1: b
Picture 2: d
Picture 3: c
Step-by-step explanation:
Hi there,
For Picture 1, to solve for an inverse function, just simply solve for x. Since the closest you can get is arccos(πx)=2y+6, you just
solve for cosine as a function: cos(2y+6)=πx and solving for x:
x= (1/π)cos(2y+6) but since variable choice is arbitrary, you can now redefine y and x:
y= (1/π)cos(2x+6)
For Picture 2, tanx is equivalent to sinx/cosx and cscx is just the reciprocal of sinx. So, it becomes:
We have already been giving the cosine value of 2, and its inverse is thus 1/2.
For Picture 3, I would recommend revisiting polar coordinates.
Polar coordinates are in the form (r, θ).
and θ . Recognize there are two possible radii, depending on what side of the circle you start from!
thanks,
Answer:
all triangle
Step-by-step explanation: