Answer:
A. The lines stay parallel
Step-by-step explanation:
Rigid transformations do not change angle or line relationships. When the parallel lines are rotated they stay parallel. Reflecting them will keep them parallel. If this were not true, then figured with parallel lines like rectangles and squares would change shape when reflected.
Answer:
0.495
Step-by-step explanation:
Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average 
is:
The standard deviation 
is:
The Z-score is:
We seek to find
For P(x>800) The Z-score is:
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
For P(x<200) The Z-score is:
The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
Therefore
<h3>
Answer: Sometimes true</h3>
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Explanation:
-8+d is positive only when d > 8
Here's why
-8+d > 0
-8+d+8 > 0+8 .... add 8 to both sides
d > 8
So if Jessica said "d is greater than 8", then her claim would always be correct.
However, her claim is sometimes true.
Two counter examples could be when d = 1 and d = 2.
If d = 1, then -8+d = -8+1 = -7 which isn't positive.
If d = 2, then -8+d = -8+2 = -6 which also isn't positive.
Basically if d is anything smaller than 8, then you'll have -8+d be negative.
If d is something larger than 8, say d = 9, then -8+d = -8+9 = 1 which is finally positive.
