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.
The domain and range for each line is all real numbers. This is because all numbers are possible to input into x and all y values exist.
The slope of the first line is -2/3 and the y intercept is 6. You can reach this conclusion by solving for y (putting it in slope intercept form).
The slope of the second one is 3/4. and the y intercept is all real numbers greater than -4. This is true because it is an inequality and you can find these numbers by solving for y.
Negative x positive = negative
Negative x negative = positive
-4 x 8 = -32
-4 x -1 = 4
-4 x -5 = 20
-4 x 9 = -36
Answer: |-32 4 20 -36|
Answer:
(x, y) ⇒ (x -7, y)
Step-by-step explanation:
The y-coordinates are unchanged. Each x-coordinate of the image is 7 units less than the corresponding pre-image coordinate. As a rule, this is ...
(x, y) ⇒ (x -7, y)
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points:
Substituting we have:
Thus, the equation is of the form:
We substitute one of the points and find "b":
Finally, the equation is of the form:
Answer:
