The expected loss is $1.83. Step-by-step explanation: The average value for each ticket is calculated as... ($100 + 5($20)) / 1200 = $200 / 1200 ≈ $0.1667 ≈ $0.17. Since purchasing a ticket costs $2.00, your anticipated value becomes... -$2.00 + 0.17 = -$1.83, leading to a loss of $1.83.
The complete question reads:
Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements
might accurately describe Peter's drawing?
I. AC and AP are parallel.
II. PAC represents an angle.
III. AC and AP are at right angles.
A. I and II
B. II and III
C. I and III
D. I, II, and III
Answer:
Option B: II & III
Step-by-step explanation:
We know Peter has drawn rays AC and AP.
Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.
This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.
Thus, the valid statements that characterize his drawing are: II & III.
If Ralph allocated $180 rather than the intended $175 for entertainment, he spent $35 for each date and let's denote "x" as the number of dates he attended. He also spent $15 when going out with friends, where "y" represents his outings with friends.
The accurate equation is "B" which is 35x + 15y = 180.
For a quadrilateral to qualify as a parallelogram
i) both pairs of opposing sides must be equal
ii) Both pairs of opposing sides should be parallel
iii) Opposite angle pairs need to match
iv) Diagonals must bisect one another.
v) One pair of opposite sides should be both parallel and equal
In our case, it is given that AB || CD
Thus, we require either AD || BC
or we need that AB = CD
It has been specified that AB = CD as an option.
Therefore, the first option, A) stating AB ≅CD, is necessary to establish that ABCD is a parallelogram.
