Answer:
The 95% confidence interval for the population mean is between 25.86 and 28.14.
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 27 - 1.14 = 25.86
The upper end of the interval is the sample mean added to M. So it is 27 + 1.14 = 28.14
The 95% confidence interval for the population mean is between 25.86 and 28.14.
Answer: 
Explanation:
x = number of cups of yogurt
1.20x = cost of all the yogurt only
1.20x+2.50 = adding on the cost of milk
We set this expression to be less than or equal to 20.

In other words, the highest 1.20x+2.50 can go is 20 since $20 is her budget.
To estimate this we can do it like this:-
<span>
Way #1
3.4 = 3
6 = 6
3 </span>÷ 6 = <span>0.5
So, to estimate 3.4 </span>÷ 6 we round 3.4 to the nearest whole number and den divide. Den d answer is our estimated answer!
3.4 ÷ 6 = 0.5
Hope I helped ya!!
Answer:
x^2 + 5x
Step-by-step explanation:
It is saying you multiply x times (x+5) so you distribute the x to both of the numbers in the parenthesis ending up with x^2 + 5x