Answer:
I believe the answer is transative property. I'm currently taking the test so I'm not 100% sure if I'm right yet.
Step-by-step explanation:
In step one, AGE and HGB are verticle angles since they are opposite of each other. then step two is alternate interior angles because they are interior angles opposite of each other, self-explanatory. the reason I choose the transitive property over the corresponding angles theorem is because the transitive property states: among A B and C, if A=B and B=c then A=C and in this case since AGE=HGB andHGB=CHE then AGE=CHE. I hope this helps and if you know the right answer just put it in the comments, if I'm wrong ofc.
<h3>
Answer: Independent </h3>
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Reason:
The first marble was replaced, so the original state of the bag hasn't changed overall. The probability isn't changed either. We can treat the second selection entirely independent of the first one.
If the first marble wasn't replaced, then the marble count of course goes down by 1. That affects the probability of the second selection and we'd consider these events to be dependent.
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An example:
Consider a bag with 4 red marbles and 6 green ones. The chances of picking red on the first try are 4/10 = 2/5. The chances of picking red again would be 2/5 assuming we put that red marble back. We can see the second selection is independent of the first.
If the marble wasn't put back, then the chances of picking a 2nd red marble would be 3/9 = 1/3. I subtracted 1 from the numerator and denominator of 4/10 to get to 3/9. In this case, the 2nd selection's probability depends on the first event (whether red was picked or not).
The answer is 5 (C)
This is because the triangle is an isosceles triangle meaning that both MN and ML are the same length and "5" would make them both 15.
Percent = part/whole
It wants you to find the % of change so it's 3.25 / 3.75
And that comes out to be 0.86 (with the 6 repeating)
So you move the decimal over 2 places to find the percent.
And then it's 1 - Ans
The answer is 13.33%
