Answer:
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
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 Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 2.575.
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 28 - 1.67 = 26.33 kg/d.
The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d.
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
Answer:
The answer is: 13%.
Step-by-step explanation:
At first, Kate had $2,251. Then her new balance was $1,958. The difference between the two is the amount spent:
$2,251 - $1,958 = $293.
The difference is the ratio of the amount spent divided by the original amount, to provide the decrease:
$293 / $2,251 = .13 or 13% (Approximately)
Hope this helps! Have a great day!
Ok in one hour the company can spread 3,000 square feet or sqft.
First we need to see which numbers make sense out of 7,500. First we remove the 500 and have 7,000, then we separate 3,000 and for each hour and we are left with 1,000 from here and the 500 we took out before. Now we have a total of 1,500 for the half hour which makes sense because if you add 1,500 for half an hour an 1,500 for another half an hour you get a total of 3,000 which is what we got for the hours above and if you add 3,000 which is for one hour and add 3,000 for the other hour or multiple 3,000 *2 which is the same thing as adding it twice and then add 1,500 for the half hour we get 7,500 total which means 3,000 I'd how much the company can spread in one hour.
Answer:
10°,170°,10°,170°
Step-by-step explanation:
sum of adjacent angles of parallelogram=180
one angle=10°
adjacent angles=180-10=70°