Answer: P(B|G) = 3/5 = 0.6
the probability that the guest is the friend of bride, P(bride | groom) is 0.6
Complete Question:
The usher at a wedding asked each of the 80 guests whether they werea friend of the bride or of the groom. The results are: 59 for Bride, 50 for Groom, 30 for both. Given that the randomly chosen guest is the friend of groom, what is the probability that the guest is the friend of bride, P (bride | groom)
Step-by-step explanation:
The conditional probability P(B|G), which is the probability that a guest selected at random who is a friend of the groom is a friend of the bride can be written as;
P(B|G) = P(B∩G)/P(G)
P(G) the probability that a guest selected at random is a friend of the groom.
P(G) = number of groom's friends/total number of guests sample
P(G) = 50/80
P(B∩G) = the probability that a guest selected at random is a friend is a friend of both the bride and the groom.
P(B∩G) = number of guests that are friends of both/total number of sample guest
P(B∩G) = 30/80
Therefore,
P(B|G) = (30/80)/(50/80) = 30/50
P(B|G) = 3/5 = 0.6
Given the position function, the velocity function is obtained by taking the derivative:

The velocity is increasing its own derivative is positive, so we also have to find the acceleration by taking another derivative:

To find when
, we first need to know where
:

The quadratic factor is always positive (its discriminant is negative), which leaves one solution at
. To either side of
, we have, for instance,


which indicates that
is increasing for
, making the answer A.
Answer:
square inches
Step-by-step explanation:
For the rectangular prism in the middle:



For the left triangular prism:





For the other right triangular prism, it's the same.
Let's add now to find the surface for the whole ramp.

Hope this is helpful to you
Answer:
32
Step-by-step explanation:
0.5x = 16
divide 0.5 from both sides to get variable by itself since it is the inverse operation of 0.5x
x=32
Answer:
Step-by-step explanation:
f ( x ) = 17 ( 3 + x )
f ( -2 ) = 17 ( 3 + -2 )
f ( -2 ) = 51 + -34
f ( -2 ) = 17
= 17