Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 m
1 answer:
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Answer:
B
Step-by-step explanation:
Reflection is a transformation that preserves lengths.
Triangle XYZ, with side lengths XY = 7 in, YZ = 5 in, XZ = 4 in, is reflected across the x-axis to result in △X'Y'Z'.
This means that corresponding sides have the same lengths:
- XY = X'Y' = 7 in;
- XZ = X'Z' = 4 in;
- YZ = Y'Z' = 5 in.
Find the perimeters of both triangles:
Hence, only option B is true.
A. How many different selections are possible?
B. What is the probability of winning?
C. If you win, what is your net profit?
D. Find the expected value
Answer :
A. sequence of three digits (from 0 to 9). so 10 numbers.
We know 3 lottery games. So possible selections = 10^3 = 1000
B. Probability of winning = one outcome / total outcomes
P( winning) = = 0.001
c. Net profit = winning amount - paid amount
= 384.13 - 1.33 = $382.8
D. expected value
E(x) = net profit * winning probability - paid amount * lost probability
E(x) = 382.8 * 0.001 - 1.33 * 0.999 = -0.95
you expect to lose 95 cents per ticket.