The overall length would be 6in
Hello!
You need to use the slope-intercept form y = mx + b. The slope is the rise over run, so 1 over 1, which is just 1. Therefore, you have an equation y = x because the slope is 1, and the y-intercept is at (0,0).
Hope this helps :))
Answer:
This is random sampling.
Step-by-step explanation:
Given condition is - In a poll, 809 adults were called after their telephone numbers were randomly generated by a computer, and 20 % were able to correctly identify the secretary of state.
This research center used random sampling.
Random because the telephone numbers were randomly generated by the computer. It could have been any number and any person.
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Other sampling methods either use groups to conduct survey or survey the easiest available sample as in convenience sampling. So, rest options are wrong.
Therefore, it is random sampling.
<h3>
Answer: D) 18</h3>
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Work Shown:
Here are the variables we're working with
- a = first term
- b = last term (aka nth term)
- n = number of terms
- S = sum of the first n terms
In this case, we know that
- a = unknown (what we want to solve for)
- b = -12
- n = 14
- S = 42
We can use this formula to help find the answer
S = (n/2)*(a+b)
This formula only works for arithmetic sequences
So,
S = (n/2)*(a+b)
42 = (14/2)*(a+(-12))
42 = 7(a-12)
42/7 = a-12
6 = a-12
6+12 = a
18 = a
a = 18 is the first term of this arithmetic sequence
That's why the answer is choice D.
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Side note: your book or your teacher may use the notation but I figured it would be easier to use 'a' and b in place of and respectively.
Reciprocal means invert it . for eg- the reciprocal of 1/2 is 2/1 and of 4/7 is7/4.