Answer:
The probability of the first draw is 100%, because the bead will be either red or white. For the second draw, a different color must be drawn.
So, if draw 1 is white, then the probability of draw 2 being red is 7/10. and if the first draw is red, then the probability of draw two being white is 5/10.
Answer:
x = 7
Step-by-step explanation:
4 + 5(x + 2) = 7x
4 + 5x + 10 = 7x
5x - 7x = - 4 - 10
- 2x = - 14
- x = - 14/2
- x = - 7
x = 7
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer: 
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
You need to find slope of the line with the formula:
Pick to points of the given line. You can choose the point (60,3) and the point (30,2).
Then, substituting into the formula:
You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is:
Substituting the slope and the y-intercept found into , you get the equation of this line:
Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.
