Answer:
(- 1, - 
)
Step-by-step explanation:
The centre is located at the midpoint of the diameter.
Using the midpoint formula , then
centre = 
, 
) = ( 
, 
) = (- 1, - )
Answer:
5,500
Step-by-step explanation:
I=PRT/100
Then
I = 2.5*10,000*22/100
I=#5,500
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
6x² + 2x - 20 = 0
3(2x² + x - 10) = 0
3[(2x² - 4x + 5x - 10)] = 0
3[2x(x - 2) + 5(x - 2)] = 0
3(2x + 5)(x - 2) = 0
3=0, 2x + 5 = 0, x - 2 = 0 (Note: 3=0 is false so disregard that equation)
x = 
, x = 2
Answer: x = {, 2}
