3log54 + 5log50 - 3log2 - 5log2 = log((54^2 x 50^2)/(2^3 x 2^5)) = log((2,916 x 312,500,000)/(8 x 32)) = log 3,559,570,313 = 9.55
Answer:
27 cubic meters
Step-by-step explanation:
The surface area of this cube is 54 square meters.
Given a cube of side length s,
- Surface Area

Therefore:

Volume of a Cube of side length s 
Volume of the cube 
=27 cubic meters
The volume of the cube is 27 cubic meters.
Answer:
0.03
Step-by-step explanation:
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation (
) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
, z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As,
= 8.265, E = 1
So, ![n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]](https://tex.z-dn.net/?f=n%3D%20%28%5Cdfrac%7B1.96%5Ctimes8.265%7D%7B1%7D%29%5E2%20%3D%2816.1994%29%5E2%5C%5C%5C%5C%3D%20262.42056036%5Capprox263%5C%20%5C%20%5C%20%5B%5Ctext%7BRounded%20to%20the%20next%20integer%7D%5D)
Hence, the number of first-year residents she must survey to be 95% confident= 263
Answer:
the first one is correct
Step-by-step explanation: