Do you have a picture of the graphs to choose from? :)
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:
Below in bold.
Step-by-step explanation:
10x² + 3x -2 = -1
10x^2 + 3x - 1 = 0 Taking 10 out from the first 2 terms:-
10(x^2 + 0.3) - 1 = 0 Completing the square:
10[(x + 0.15)^2 - 0.15^2] - 1 = 0
10[(x + 0.15)^2 - 0.0225] - 1 = 0
10(x + 0.15)^2 - 0.225 - 1 = 0
10(x + 0.15)^2 - 1.225 = 0 is vertex form.
The vertex (turning point is at (-0.15, -1.225).
y- intercept is at the point where x = 0,
- that is at y = 10(0.15)^2 - 1.225 = -1
So at (0, -1).
Solving for x:
10(x + 0.15)^2 - 1.225 = 0
(x + 0.15)^2 = 0.1225
x + 0.15 = +/- sqrt 0.1225
x = -0.15 +/- sqrt 0.1225
The roots are -0.5, 0.2