What is being requested, if I'm not mistaken, is the number of permutations for placing each of the 8 beads on the vertices of the cubes;
In this case, we have 8 different beads and 8 possible locations for each of them;
So the number of permutations is:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
Answer:
P=2.326
Step-by-step explanation:
Raw Score (X):=1000
Population Mean (μ):=460
Standard Deviation (σ): =Sqrt(npq)
Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54
Sqrt(npq)=sqrt(460X0.54)=15.7607
Z = (X - μ) / σ
Z = (1000 - 460) / 15.7607
Z = 34.26244
For p-value 0.01
P(x=0.01) = 2.32635
Hence, P=2.326 t 3 decimal places.
Answer:
No, the graph is only increasing while the student rides his bike, rides the bus, and walks. It is stays the same while he waits for the bus and when the bus stops to let him off.
Step-by-step explanation:
