Answer:
The 95% confidence interval for μ for the given situation is between 87.49 and 94.51.
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 the margin of error 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 91 - 3.51 = 87.49
The upper end of the interval is the sample mean added to M. So it is 91 + 3.51 = 94.51
The 95% confidence interval for μ for the given situation is between 87.49 and 94.51.
Answer:
x = 6
Step-by-step explanation:
you need to solve for x. so you have to get it alone
-1 = x - 7
add 7 to each side
6 = x
<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>

Compare the terms.

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

<u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u><u> </u><u>D</u><u>e</u><u>f</u><u>.</u> (For cubic)

Factor (-2)^3 out.

(-2) • (-2) = 4 | Negative × Negative = Positive.

4 • (-2) = -8 | Negative Multiply Positive = Negative.

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.
Hence,

The answer is - 1 / 8
-77 and 7/20 is the answer simplified and without it being simplified you get -77 and 35/100
First change the 1/2 to eighths. multiply numerator and denominator by 4.now subtract 4 1/8