Answer:
![296.693\leq x\leq 319.307](https://tex.z-dn.net/?f=296.693%5Cleq%20x%5Cleq%20319.307)
Step-by-step explanation:
The confidence interval for the population mean x can be calculated as:
![x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }](https://tex.z-dn.net/?f=x%27-z_%7B%5Calpha%20%2F2%7D%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D%20%5Cleq%20x%5Cleq%20x%27%2Bz_%7B%5Calpha%20%2F2%7D%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D)
Where x' is the sample mean, s is the population standard deviation, n is the sample size and
is the z-score that let a proportion of
on the right tail.
is calculated as: 100%-99%=1%
So, ![z_{\alpha/2}=z_{0.005}=2.576](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.005%7D%3D2.576)
Finally, replacing the values of x' by 308, s by 17, n by 15 and
by 2.576, we get that the confidence interval is:
![308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307](https://tex.z-dn.net/?f=308-2.576%5Cfrac%7B17%7D%7B%5Csqrt%7B15%7D%20%7D%20%5Cleq%20x%5Cleq%20308%2B2.576%5Cfrac%7B17%7D%7B%5Csqrt%7B15%7D%20%7D%5C%5C308-11.307%20%5Cleq%20x%5Cleq%20308%2B11.307%5C%5C296.693%5Cleq%20x%5Cleq%20319.307)
Try the last one; it doesn't mention anything foreign.
We would divide the shape into a rectangle and a trapezium
The rectangle is of length, 24.5 ft and width 10.75 ft
Area = 24.5 * 10.75 = 263.375 square feet.
Trapezium : Parallel sides are 18.5 ft and 24.5 ft
Height: 12 - 10.75 = 1.25ft
Area of Trapezium = (1/2)*(Sum of Parallel sides)*height
= 1/2 * (18.5+24.5)* 1.25
= 1/2 * 43* 1.25 = 26.875
Total Area = Area of Rectangle + Area of Trapezium
= 263.375 + 26.875 = 290.25
Area = 290.25 ft² (D)
Step-by-step explanation:
A=2πr(r+h)
A=6.28×14mm(+29mm)
A=77.92(14mm+29mm)
A=77.92×43
A=3350.56 mm
Hope it helps
KC
Answer: 5/10 or 1/2
Step-by-step explanation:
To find how much longer, subtract to get the difference:
9/10 - 4/10 = 5/10
5/10 simplified is 1/2
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