Answer:
The expected value of a ticket is of -$5.
Step-by-step explanation:
The expected value of the ticked is the probability of earning each prize multiplied by the prize, and subtracted by the value of the ticket.
Value of the ticket:
$10.
100 tickets are sold. They will award one first prize of $300, one second prize of $150, and one third prize of $50.
Thus, 1/100 probability of earning $300, 1/100 probability of 150 and 1/100 probability of 50. So

The expected value of a ticket is of -$5.
Natural numbers between 5002 and 5012 are 5003 5004 5011 there are nine in all
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]
For lines to be parallel, they have to have the same slope
y = x + 7
m = 1 So the parallel line's slope is also 1
y = mx + b
y = x + b To find b, plug in the point (8, 10) into the equation
10 = 8 + b Subtract 8 on both sides
2 = b
y = x + 2