Answer:
83.74 in squared
Step-by-step explanation:
The area of the original rectangle is: 14 * 8 = 112 in squared.
The area of a circle is
, where r is the radius. In this case, we know the diameter is 6, so the radius is 3. Then, the area of the circle is:
3.14 * 3^2 = 3.14 * 9 = 28.26 in squared.
The remaining area is just the total minus the circle area:
112 - 28.26 = 83.74 in squared
Answer:
The 95 % confidence interval for the mean is between 28.09 and 35.97.
Step-by-step explanation:
Mean of the sample:
30 values.
So we sum all the values and divide by 30.
The sum of all the values(43 + 52 + 18 + ... + 20 + 41) is 961.
961/30 = 32.03
Confidence interval:
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 32.03 - 3.94 = 28.09
The upper end of the interval is the sample mean added to M. So it is 32.03 + 3.94 = 35.97
The 95 % confidence interval for the mean is between 28.09 and 35.97.
Your answer should be c, or 12 5/6. you would add 1/3 and 1/4 to get 7/12, then multiply it by 22 to get the mixed fraction.
Answer:
-7, 4
Step-by-step explanation: