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olchik [2.2K]
4 years ago
5

Simplify (4.5)(5)(−2). (1 point) 45 4.5 −4.5 −45

Mathematics
1 answer:
nikitadnepr [17]4 years ago
3 0
The answer is 4.5*5*-2= -45 Thanks!
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3 years ago
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Suppose you flip a coin n times, and the probability of getting heads 15 times is .0148. what n?
sertanlavr [38]
With n tosses, there are a total of 2^n possible outcomes. We need 15 of theses to be heads.
Since the tosses are random, we want to count the ways to have exactly 15 of them being heads. That will be C(n,15) ways to pick which tosses are heads.
The probability will be given by:
C(n,15)/2^n=0.0148
At this point we use various values of n until we get the correct probability.
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3 years ago
PLEASE HELP<br> (look at pictures)
Vladimir [108]
<h2>Answer:</h2>

This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,

1.  

Reason: Given  

Statement: \angle1\cong\angle2

2.  

Reason: Def of vertical \angle s

Statement: \angle1\:and\:\angle3 \ are \ vertical

3.  

Reason: Def of vertical \angle s

Statement: \angle1\cong\angle3  

4.

Reason: Transitive Property

Statement: \angle2\cong\angle3

5.  

Reason: corresponding Angles Converse Postulate

Statement: p\parallel q

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4 years ago
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