Total surface area = lateral area of cone + lateral area of cylinder + area of base of cylinder:
cone: πrL = π(5cm)(13cm) = 65πcm²
cylinder: 2πrh = 2π(5cm)(12cm) = 120πcm²
base: πr² = π(5cm)² = 25πcm²
total surface area = 65πcm² + 120πcm² + 25πcm² = 210πcm²
The expression is 14x + 4. it’s a rectangle, so the opposite sides are congruent and they have the same value.
3+6-7=2
2x5/2=5(1)
6x5/2=15(2)
The area shaded: (1)+(2) => 5+15=20
Answer: 20
Time/shifts=time per knight
shifts=5
24/5=hours
24/5=20/5+4/5=4+4/5
4/5 times 60=48
4hr and 48 mins
24hr=60*24mins=1440mins
1440/5=288mins per night
A. 4 and 4/5 hour or 24/5 hours
B. 4hr and 48 mins
C. 288 mins
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Let
be the population mean strain in a way that conveys information about precision and reliability.
The sample mean is the best point estimate of the true population mean .
As per given , we have
Sample size : n= 12
degree of freedom : 
Sample mean : 
The true average strain in a way that conveys information about precision and reliability= 25.0
sample standard deviation : s= 3.3
Significance level : 
Since sample population standard deviation is unknown , so we use t-test.
Critical t-value for t : 
95% Confidence interval for true average strain in a way that conveys information about precision and reliability:


The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability: 
We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .