Answer:
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5
The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form: x= 2/5
Decimal Form: x= 0.4
Answer:
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Step-by-step explanation:
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The correct answer is option B. If two congruent angles form a linear pair, then <span>they are both right angles. </span>Two figures are said to be congruent when they
have the same shape and size or if one object is a mirror image of the other
object.
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