Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
<u>an = -2n +3</u>
-2(1) +3 = 1 . . . . not -2
<u>an = -2n +7</u>
-2(1) +7 = 5 . . . . not -2
<u>an = 5n +3</u>
5(1) +3 = 8 . . . . not -2
<u>an = 5n -7</u>
5(1) -7 = -2 . . . . this is the formula you want
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If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
Answer:

Step-by-step explanation:

The square root of 49, which is the greatest perfect square that is less than 55.
A perfect square that is the nearest, greater perfect square to
is
.
There are no other perfect squares in between
<em> </em>and
there are only decimals.
Therefore,
is your answer.
<u>Proof:</u>
<u />

Step-by-step explanation:
(3,3)====(3,-3)
(3,2)====(2,-3)
(5,2)====(2,-5)
Answer:
d. If your sample size is very large, the distribution of the sample averages will look more like distribution.
Step-by-step explanation:
The central limit Theorem states that for population distribution if you repeatedly take samples from the distribution, then the normal thing for it to happen would be that the distribution means of the samples will be normally distributed, this is what it states, the option that comes closer to that statement would be d. If your sample size is very large, the distribution of the sample averages will look more like distribution, because they large sample will create for a normally distributed means distribution.