Answer:
Volume of hemisphere=
<u>
</u>
<u>Volume</u><u> </u><u>of</u><u> </u><u>sphere</u><u>=</u><u> </u>
<u>
</u>
Step-by-step explanation:

Using calculator=
1072.761905
Round to the nearest tenth=
1072.8
Total paintings = 6
Number of different places for each painting = 6
Total number of ways she could hang all the painting = 6 × 6 = 36
(x+2)^5
n = 3
r = 5
3rd term is 5x^3y^2
Answer:
Sample mean = 7.1
Margin of error = 0.465
Step-by-step explanation:
Formula for confidence interval is;
CI = x¯ ± zE
Where;
x¯ is sample mean
z is critical value at confidence level
E is margin of error.
z for 99% Cl is 2.58
We are told the CI is 5.9 to 8.3.
Thus;
5.9 = x¯ - 2.58E - - - - (1)
8.3 = x¯ + 2.58E - - - - (2)
Add both equations together to get;
14.2 = 2x¯
x¯ = 14.2/2
x¯ = 7.1
Put 7.1 for x¯ in eq 1 to get;
5.9 = 7.1 - 2.58E
7.1 - 5.9 = 2.58E
E = 1.2/2.58
E = 0.465
A) For f(-1) we use the part of the piecewise function for when x < 0 because -1 < 0. Plug in -1 for x:
2(-1) + 3 = 1
b) For f(0), we use the part for when x

0.
4(0) + 5 = 5
c) For f(2) we use the part for when x

0.
4(2) + 5 = 13