Answer:
C. ![x=20^{\circ}](https://tex.z-dn.net/?f=x%3D20%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Angle 6 and angle with measure 45° are vertical angles (opposite angles whan two lines intersect). By Vertical Angles Theorem, vertical angles are congruent, so
![m\angle 6=45^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%206%3D45%5E%7B%5Ccirc%7D)
Angle 6 and angle with measure
are the same side interior angles when two parallel lines are cut by transversal. The same side interior angles add up to 180°, then
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:
![P = 0.7*0.4 + 0.3*0.10 = 0.31](https://tex.z-dn.net/?f=P%20%3D%200.7%2A0.4%20%2B%200.3%2A0.10%20%3D%200.31)
Of those, 0.7*0.4 = 0.28 are baked by Doug.
So the probability is:
![P = \frac{0.28}{0.31} = 0.9032](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B0.28%7D%7B0.31%7D%20%3D%200.9032)
There is a 90.32% probability that the cake was baked by Doug.
Answer: 7 times greater because there are 7 days in a week
Answer:
first one is square root
don't know the second tho