The mean and standard deviation of the scores are 75 and 9.5 respectively.
The z-score is a means to find the probability of getting a particular score. This is calculated to be:

where x is the score, μ is the mean, and σ is the standard deviation.
To be a part of the top 2.5 percent, the probability is:

The z-score for this probability, that is, P
Answer:
Step-by-step explanation:
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Answer:
The growth factor of <em>f(x)</em> is <em>less</em><em> </em><em>than</em><em> </em>the growth factor of <em>g(x)</em>.
Explanation:

<em>x</em><em> </em> | <em>f(x)</em>
_____
0 | 4
1 | 12
2 | 36
You can tell because the <em>g</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 4, while the <em>f</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 3.
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Answer:2/3
Step-by-step explanation:There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have
4
×
13
=
52
.
There are 8 cards that fit the question (4 each of aces and kings).
And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:8/52
which we can simplify:
8/52=2/13