Answer:
The probability that you would choose lemon-lime and then orange is 3/11 =.273.
Step-by-step explanation:
These are 'dependent events', which mean that your the event is affected by previous events. So, because you have eleven total bottles (five lemon-lime and six orange) and you do not replace the first bottle, that would only leave you with ten bottles remaining. The probability that you will pick the lemon-lime on the first choice is 5/11 because all of the bottles are there. However, your second choice will only include ten total bottles since you already took one. The probability that you would choose orange would be 6/10. When you multiply these two fractions and reduce to simplest form, you get 3/11.
10
Therefore, the greatest common factor of 30 and 50 is 10.
Answer:
in order from images displayed, x = 20, x = 6, x = 5.5
Step-by-step explanation:
4x - 8 + 6x - 12 = 180
10x -20 = 180
10x = 200
x = 20
5x - 1 = 29
5x = 30
x = 6
14x - 6 = 12x + 5
2x = 11
x = 5.5
Answer:
the corresponding point for function f(x) + 2 would be (12, -8)
Answer:
y = 
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = , then
y = x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 2 - 1 = - 3
y = x - 3 ← equation of line
