Answer:
There is a 90.32% probability that the cake was baked by Doug.
Step-by-step explanation:
We have these following probabilities:
A 70% probability that Doug bakes the cake.
A 30% probability that Jeremy bakes the cake.
A 40% probability that a cake baked by Doug gets a thumbs up.
A 10% that a cake baked by Jeremy gets a thumbs up.
One cake was selected at random on 10/01/2014 and got a "thumbs up".
1. Find the probability that the cake was baked by Doug.
The probability that a baked cake gets a thumbs up is:

Of those, 0.7*0.4 = 0.28 are baked by Doug.
So the probability is:

There is a 90.32% probability that the cake was baked by Doug.
Answer:
D) 3768 inches
Step-by-step explanation:
Given,
No. of plates = 100
Diameter of each plate = 12inches
So, radius of each plate = 12 / 2 = 6 inches
So, circumference of each plate

= 2 × 3.14 × 6 inches
= 37.68 inches
Hence, circumference of 100 plates = 100 × 37.68 inches
= 3768 inches
Hence, <u>3768 inches</u> of gold trim is required (Ans)
f(g(-1)) = - 3
Evaluate g(-1) and substitute into f(x)
g(-1) = (-1)² -7(-1) - 9 = 1 + 7 - 9 = - 1
f(g(-1)) = (-1) - 2 = - 3
Answer:
yes
Step-by-step explanation: