Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
Answer:
The sample size required is 910.
Step-by-step explanation:
The confidence interval for population proportion is:

The margin of error is:

Given:

The critical value of <em>z</em> for 90% confidence level is:
*Use a standard normal table.
Compute the sample size required as follows:

Thus, the sample size required is 910.
Answer:
3/5=x/z
Step-by-step explanation:
7x=3y
7(3)=3(7)
21=21
5y=7z
5(7)=7z (plug in the seven from the first step)
35=7z
then divide both sides by 7
5=z
therefore, X/Z=3/5
Greetings.
The range is the set of y-value.
The range starts from the minimum point to maximum point.
Our minimum point starts at 0 and maximum point starts less than infinity.
Therefore the range is 0<=y<+inf
However, we do not often write that, although it is right.
Therefore we write as y≥0
Thus, the answer is B choice.
Answer:
yes
Step-by-step explanation:
yes