9514 1404 393
Answer:
1135.2 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
The difference in volume will be ...
∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in
∆V ≈ 1135.2 . . . cubic inches
The basketball has a volume that is 1135.2 cubic inches greater.
_____
If you use 3.14 for π, your answer is 1134.6 in^3.
Answer:
and ![3n-1](https://tex.z-dn.net/?f=3n-1)
Step-by-step explanation:
n is a number.
a number squared is ![n^2](https://tex.z-dn.net/?f=n%5E2)
27 more than a number squared is ![n^2+27](https://tex.z-dn.net/?f=n%5E2%2B27)
n is a number.
three times a number is 3 times n, or ![3n](https://tex.z-dn.net/?f=3n)
one less than that is ![3n-1](https://tex.z-dn.net/?f=3n-1)
Hope this answer helped! :)
CE = CD + DE = 2DE + DE = 3DE = 8.7
DE = 8.7/3 = 2.9
CD = 2DE = 5.8
For the inscribed circle, where center is point D. The radius is length DE.
This is because the circle will touch the 3 points where the bisectors intersect with sides of triangle.
radius = 2.9
For circumscribed circle, the center will also be point D. The radius is CD.
The circle will touch 3 points of triangle, A,B,C.
radius = 5.8
Answer:
The correct statement is
The null hypothesis is ![H_o : p = 0.18](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20p%20%3D%20%200.18)
The alternative hypothesis is ![H_a : p > 0.18](https://tex.z-dn.net/?f=H_a%20%3A%20%20p%20%3E%20%200.18)
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.18
The sample size is n = 1240 airplane
The number of airplane is k = 310
Generally the sample proportion is
![\^ p = \frac{k}{n}](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D%20%5Cfrac%7Bk%7D%7Bn%7D)
=> ![\^ p = \frac{310}{1240}](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D%20%5Cfrac%7B310%7D%7B1240%7D)
=> ![\^ p =0.25](https://tex.z-dn.net/?f=%5C%5E%20p%20%3D0.25)
The null hypothesis is ![H_o : p = 0.18](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20p%20%3D%20%200.18)
The alternative hypothesis is ![H_a : p > 0.18](https://tex.z-dn.net/?f=H_a%20%3A%20%20p%20%3E%20%200.18)