Answer:
see explanation
Step-by-step explanation:
Central angles are angles at the centre of the circle subtended by 2 radii
Angles that meet this criteria are
∠AOB, ∠BOC, ∠AOC
Answer: 21
Step-by-step explanation:
Let the consecutive odd numbers be represented by x and x+2. Therefore,
x × (x+2) = 483
x² + 2x = 483
x² + 2x - 483 = 0
x² + 23x - 21x - 483 = 0
x(x + 23) - 21(x + 23) = 0
(x - 21) = 0
x = 0 + 21
x = 21
The smaller integer is 21
The larger integer is 21 + 2 = 23.
Intercept form is: y = a(x - p)(x - q)
It is given that: p = 14, q = -6, x = 14, y = 4
4 = a(14 - 12)(14 - (-6))
4 = a(2)(20)
4 = 40a
Answer: y = 
(x - 14)(x + 6)
Answer: You have a better chance if you do not replace the red marble.
Step-by-step explanation:
The bag has:
5 red marbles
8 blue marbles
4 yellow marbles
3 green marbles
A total of 5 + 8 + 4 + 3 = 20
You want to draw a red marble and then a blue marble.
The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:
P1 = 5/20
now you want to draw a blue marble.
If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:
P2 = 8/20
The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1
If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:
P2 = 8/19
The joint probability is:
P = P1*P2 = (5/20)*(8/19) = 0.105
The probability is slightly bigger if you do not replace the red marble.
