Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:

The margin of error is:

<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is: 
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
3(3a+4b)+4(2a-5b)
=9a+12b+8a-20b
=17a-8b
An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).
The equation for an arithmetic sequence is


is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so

<span>d=-2 because the question gives you that
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The answer is A. -9.
<u> </u>
<span>The answer is C. 158</span>
For the second one, it gives you

and <span>

You can use this to find d
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Now you can just solve using the equation normally.
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The answer is C. 158
Answer: The answer is 78
Step-by-step explanation:
Since it said the number of dimes is 6 more than twice the number of nickels There are 36 dimes, this statement in an equation is d=(2n + 6), so then it would be [2(36) + 6] which is 72 + 6 = 78