Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
= -3 - 2
= -5
Similarly, 
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence,
= a + (n - 1)d [n = input value]
= 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,

= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7
Answer:
The margin of error for the survey is 0.016
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1024
Sample proportion:

We have to find the margin of error associated with a 90% Confidence interval.
Formula for margin of error:


Putting the values, we get:

Thus, the margin of error for the survey is 0.016
First, she distributed

Which gave her

Then, she combined like terms

Which gave her

Then, she subtracted

from both sided
Which gave her

Then, she added

to both sides
Which gave her

And finally sh edivided 32 by 2 and got

hope this helps if you have any questions please pm me :)
Answer:
The answer is below
Step-by-step explanation:
We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:
Perimeter of tiangle CDE = |CD| + |DE| + |CE|
Given that C(4, -1), D(4, -5), E(2, -3).
The distance between two points
is given as:

Therefore the lengths of the triangle are:

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units
Hello there.
<span>
If p and q are nonzero integers, which pair of points must lie in the same quadrant?
</span>
<span>B. (p, q) and (2p, 2q)
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