If you call 
the mass of the ant and 
the load, we have the equation
In fact, the mass of the ant is one tenth of the load, which is exactly what this equation states.
Since we are given the load, we simply need to plug its value in the equation to deduce the mass of the ant:
Step-by-step explanation:
the probability that the ticket will win you 600 dollars * 1/1500 = 600/1500.
the probability that the ticket will win you 50 dollars is 50 * 5/1500 = 250/1500.
the probability that the ticket will win you 25 dollars is 25 * 20/1500 = 500/1500.
your expected value is -1 + 600/1500 + 250/1500 + 500/1500 = -.1.
the average loss for each dollar that is bet is equal to 10 cents.
hope this helped
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
I think it talks about if this is a one to one function or not
