Answer:
10 pi
Step-by-step explanation:
Since this is a cylinder, we know that the long side of the rectange will go all around the circle. This length is known as the circumference, and the formula of a circle's circumference is pi * diameter. We know the circle's radius is 5, and double that would be the diameter, 10. Therefore, pi * 10 is 10pi, which is ur answer
THE ANSWER TO YOUR QUESTION IS 257 INCHES IN TOTAL.
BECAUSE, 21 FEET = 252 INCHES + 5 INCHES = 257
Answer:
a. CI=[128.79,146.41]
b. CI=[122.81,152.39]
c. As the confidence level increases, the interval becomes wider.
Step-by-step explanation:
a. -Given the sample mean is 137.6 and the standard deviation is 20.60.
-The confidence intervals can be constructed using the formula;

where:
is the sample standard deviation
is the s value of the desired confidence interval
we then calculate our confidence interval as:
![\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.05/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm1.960\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm8.8108\\\\\\=[128.789,146.411]](https://tex.z-dn.net/?f=%5Cbar%20X%5Cpm%20z%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm%20z_%7B0.05%2F2%7D%5Ctimes%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm1.960%5Ctimes%20%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm8.8108%5C%5C%5C%5C%5C%5C%3D%5B128.789%2C146.411%5D)
Hence, the 95% confidence interval is between 128.79 and 146.41
b. -Given the sample mean is 137.6 and the standard deviation is 20.60.
-The confidence intervals can be constructed using the formula in a above;
![\bar X\pm z\frac{s}{\sqrt{n}}\\\\=137.60\pm z_{0.01/2}\times\frac{20.60}{\sqrt{21}}\\\\=137.60\pm3.291\times \frac{20.60}{\sqrt{21}}\\\\=137.60\pm 14.7940\\\\\\=[122.806,152.394]](https://tex.z-dn.net/?f=%5Cbar%20X%5Cpm%20z%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm%20z_%7B0.01%2F2%7D%5Ctimes%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm3.291%5Ctimes%20%5Cfrac%7B20.60%7D%7B%5Csqrt%7B21%7D%7D%5C%5C%5C%5C%3D137.60%5Cpm%2014.7940%5C%5C%5C%5C%5C%5C%3D%5B122.806%2C152.394%5D)
Hence, the variable's 99% confidence interval is between 122.81 and 152.39
c. -Increasing the confidence has an increasing effect on the margin of error.
-Since, the sample size is particularly small, a wider confidence interval is necessary to increase the margin of error.
-The 99% Confidence interval is the most appropriate to use in such a case.
Answer:
The expression for the total amount of tickets sales can be give in dollars as :
⇒ 
Step-by-step explanation:
Given:
Cost of a ticket in standing arena = $210
Cost of a ticket for a seat = $130
Total people that can accommodate in standing arena = 350
Total number of seats in the concert = 
To write the expression for the total amount of tickets sales if the concert is sold out.
Solution:
The concert is sold out. This means 350 tickets for standing arena and
tickets for seats are sol out.
Using unitary method to find the total cost.
If a ticket in front stage arena costs = $210
<em>Then, 350 such tickets will cost</em> = 
If a ticket for a seat costs = $130
<em>Then, y such tickets will cost </em>= 
Total amount of ticket sales can be given as:

⇒ 
Im pretty sure you need to divide 155 by 4 or 48. try it and see what you get. then ask your teacher if you did it right. always ask questions.