Answer:
C. the circumference of a circle
Step-by-step explanation:
The perimeter of a square is the length of the outside, which is found by adding all the side lengths. The circumference of a circle is similar because it is also the length of the outside of the shape.
Answer:
3x
Step-by-step explanation:
3x(5x-7)
brainliest!
Answer:
#5 39 = x
Sides:
x - 15
2x
2x
Total of sides = 180
180 = (x-15) + 2x + 2x
180 = x - 15 + 4x
180 = -15 + 5x (add 15 to each side to remove -15)
195 = 5x (divide by 5 on each side to get x)
39 = x
#7 24 = x
Sides:
2x - 4
3x + 5
2x + 11
Total of sides = 180
180 = (2x - 4) + (3x + 5) + (2x + 11)
180 = 2x - 4 + 3x + 5 + 2x + 11
180 = 7x + 12 (subtract 12 to each side to remove 12)
168 = 7x (divide by 7 on each side to get x)
24 = x
#8 37 = x
Sides:
x
x + 4
3x - 9
Total of sides = 180
180 = (x) + (x + 4) + (3x - 9)
180 = x + x + 4 + 3x - 9
180 = 5x - 5 (add 5 to each side to remove -5)
185 = 5x (divide by 5 on each side to get x)
37 = x
Step-by-step explanation:
Perimeter is the lengths of the edges added up. And if the shape is a rectangle, there are 4 edges so we divide by 4. 44/4=11. each of the four sides are 11 feet long.
width=11
length=11
area=width*length=121
Answer:
The minimum sample size is ![n =135](https://tex.z-dn.net/?f=n%20%20%3D135)
Step-by-step explanation:
From the question we are told that
The confidence interval is ![( lower \ limit = \ 0.44,\ \ \ upper \ limit = \ 0.51)](https://tex.z-dn.net/?f=%28%20lower%20%5C%20limit%20%20%3D%20%5C%20%200.44%2C%5C%20%5C%20%5C%20%20%20upper%20%5C%20limit%20%20%3D%20%5C%200.51%29)
The margin of error is ![E = 0.1](https://tex.z-dn.net/?f=E%20%3D%20%200.1)
Generally the sample proportion can be mathematically evaluated as
![\r p = \frac{ upper \ limit + lower \ limit }{2}](https://tex.z-dn.net/?f=%5Cr%20p%20%3D%20%5Cfrac%7B%20upper%20%5C%20limit%20%20%2B%20lower%20%5C%20limit%20%7D%7B2%7D)
![\r p = \frac{ 0.51 + 0.44}{2}](https://tex.z-dn.net/?f=%5Cr%20p%20%3D%20%5Cfrac%7B%200.51%20%2B%200.44%7D%7B2%7D)
![\r p = 0.475](https://tex.z-dn.net/?f=%5Cr%20p%20%3D%200.475)
Given that the confidence level is 98% then the level of significance can be mathematically evaluated as
![\alpha = 100 - 98](https://tex.z-dn.net/?f=%5Calpha%20%3D%20100%20-%20%2098)
![\alpha = 2\%](https://tex.z-dn.net/?f=%5Calpha%20%3D%202%5C%25)
![\alpha =0.02](https://tex.z-dn.net/?f=%5Calpha%20%3D0.02)
Next we obtain the critical value of
from the normal distribution table
The value is
![Z_{\frac{\alpha }{2} } = 2.33](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%3D%20%202.33)
Generally the minimum sample size is evaluated as
![n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%20%5Cr%20p%20%281-%20%5Cr%20p%20%29)
![n =[ \frac { 2.33}{0.1} ]^2 * 0.475(1- 0.475 )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%202.33%7D%7B0.1%7D%20%5D%5E2%20%2A%20%200.475%281-%200.475%20%29)
![n =135](https://tex.z-dn.net/?f=n%20%20%3D135)