Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for 
such that 
is maximized. Once we have that , we can easily find the answer to part b.
Finding the value that maximizes is the same as finding the value that maximizes 
, just on a smaller scale. So, we really want to maximize . To do this, we will do a trick called completing the square.
.
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of such that the inner part of the square term is equal to 
.
.
So, the answer to part a is 
.
We can then plug 
into the equation for p to find the answer to part b.
.
So, the answer to part b is 
.
And we're done!
If the numbers after the decimal terminate, yes, it's rational.
9.521521521 = 9,521,521,521 / 1,000,000,000
If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.
If <em>x</em> = 9.521521521…, then
1000<em>x</em> = 9521.521521521…
Subtract <em>x</em> from this to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…
999<em>x</em> = 9512
<em>x</em> = 9512/999
If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like
9.521521521<u>19484929271283583457</u>…
then the number would be irrational.
The sale price is $30.
I hope this helps. :)
And have a great day. :)
Answer:
Day 1
4 times
8 mins
1 time
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1 time
0 times ( I never use it)
Day 2
2 times
5.30 mins
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2 times
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Day 3
5 times
0 mins
0 times
2 times
1 time
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Step-by-step explanation:
Hope it helped you
Answer: (1) is D because D is a further distance from the rest so it is an outlier (2) Negative because it starts at the top and goes further down (3) No because there are not a lot of dots in one place (4) scatter plots can show and identify other patterns in data and they are important because they show thing that other graphs don't you should care because they show very important information
Step-by-step explanation: (1)outliers are an observation that lies an abnormal distance from other values in a random sample from a population. (2)Positive slopes go up and Negatives slope fall down. (3) clusters are when a lot of dots are in one place. (4)
