Answer: Required 99% confidence interval : (48.30%, 61.7%)
Step-by-step explanation:
Confidence interval for PROPORTION:
, where p = sample proportion , z* = two-tailed critical z-value and S.E. = standard error.
As per given: p=55%
Critical z-value for 99% confidence = 2.576
S.E. = 2.6%
Then, required confidence interval :
![55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)](https://tex.z-dn.net/?f=55%5C%25%20%5Cpm%20%282.576%29%5Ctimes%202.6%5C%25%5C%5C%5C%5C%5Capprox55%5C%25%20%5Cpm6.70%5C%25%5C%5C%5C%5C%3D%2855%5C%25-6.70%5C%25%2C%5C%2055%5C%25%2B6.70%5C%25%29%5C%5C%5C%5C%3D%2848.30%5C%25%2C%5C%2061.7%5C%25%29)
Required 99% confidence interval : (48.30%, 61.7%)
Ok so to find the slope meaning how much quarts can be made in 1 hour you'd need to divide 140 by 7, if you do so you'll find 20. (20 quarts are made in an hour)
Now you can multiply 20 by 12, which is 240.
So, in 12 hours : 240 quarts of ice cream is made.
Answer: 2(2y+5)
Explanation:
One possible factorization is 2(2y+5)=4y+10, which would correspond to a set of dimensions 2 by (2y+5) for the rectangle.
Note that this is only one of many possibilities to come up with the dimensions. For example another possibility would be 1*(4y+10), or 4*(y+2.5). In fact, in Real numbers, there are infinitely many possible rectangles with a particular area.
They both scored the same so no one it was even .