Answer:
The domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Step-by-step explanation:
A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.
Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.
Hence, the domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
<span>Roster form is a set of members placed between brackets, with each of the individual elements are separated by commas.
For example :
</span><span> {2, 4, 6, 8, 10, 12, ...}.</span>
Answer:
There is 170 cm³ free space in the container.
Step-by-step explanation:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
Answer: 3.496
Explanation: You find the mean, which is 57.714. Next, you subtract the mean from each number in the dataset, |55 - 57.714|, |59 - 57.714|, etc. You then add all of those numbers together and divide them by the amount of numbers like you would determining the mean. This gives you 3.496. Also sorry for taking so long to respond I’m on my phone and cannot type as fast as I would on pc.