Assuming that there are 8 names that are going to be used for a random order;
First, let's try to figure out how many possible ways the names can be arrange:
=8 choices x 7 choice x 6 choices x 5 ... x 1 choice (if you select person A to go first, they cannot be second as well, so that is why 8 choices is multiplied by 7 instead of 8)
This can also be written as 8!
The specific way that a random set of names is chosen by you and actually chosen is 1. Each name has a specific order, in each term so there can only be one possible way.
Therefore, P(order being chosen)=1/8!
Hope I helped :)
All of these answers are wrong....
Answer:
The values of x and y are x = 6 and y = 9
Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
- Bisect each other
- Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Circumference = 2 * pi * r
44 = 2pi * r
Solve for r
6.98 = r
So approximately 7
This is honestly simple but we all need help! The answer is 55,053. Hope this helps! =3