Answer:
0.681
Step-by-step explanation:
Let's define the following events:
S: a Carter office worker is rated satisfactory
U : a Carter office worker is rated unsatisfactory
ND: a Carter office worker is placed by Nancy Dwyer
DN: a Carter office worker is placed by Darla Newberg
We have from the original text that
P(S | ND) = 0.8, this implies that P(U | ND) = 0.2.
P(S | DN) = 0.65, this implies that P(U | DN) = 0.35. Besides
P(DN) = 0.55 and P(ND) = 0.45, then we are looking for
P(DN | U), using the Bayes' formula we have
P(DN | U) = 
= 
=0.681
Answer:
B. (0,6)
Step-by-step explanation:
To solve this question, you'll need to figure out what the final point is after reflecting each point. A quick way to figure this out is by multiplying (-1) to the x-coordinate.
When you reflect A. (2,0) over the y-axis, the point becomes (-2,0).
When you reflect C. (3,3) over the y-axis, the point becomes (-3,3).
When you reflect D. (5,5) over the y-axis, the point becomes (-5,5).
The only answer that does not change location is B. (0,6) as it stays at (0,6). If you multiply 0 by any number, it will always stay 0.
Multiplying the x-coordinate by (-1) to find the reflection point only works if you are reflecting it over the y-axis. You would multiple the y-coordinate by (-1) if you were reflecting over the x-axis.
Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
Answer:
- Angle Bisector Theorem
- Sum of Adjacent Angles
- Co-interior angle property
- Additive law
Step-by-step explanation:
Note: Diagram for Question is attached
1. Angle Bisector Theorem
BD is the angle bisector. Bisection means dividing in 2 equal parts. So angle 3 and angle 4 are equal.
2. Sum of Adjacent Angles
Two adjacent angles can be added together to find the larger angle that is formed by the two angles.
3. Co-interior angle property
Co-interior property states that if a single line intersects two parallel lines, the sum of interior angles (of same side) is equal to 180. (Image attached for visual representation)
4. Additive law
By additive law, we can subtract a value from both sides of the equation without unbalancing the equation. So, we can subtract 110 from both sides of the equation giving 70 as the final answer.
Answer: D
Step-by-step explanation:
