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:
Z' = (-5,3)
Step-by-step explanation:
Move two to the (<- left) from -3,5 to get -5, 5
move two down to get -5,3
Answer:

Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,

So, the required angle of elevation of the sun is equal to
.
Answer:
d. 20/36
Step-by-step explanation:
total: 36
males: 20