How many solutions does the system below have? y=1/2x+1 2y - x = 2
1 answer:
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Answer:
The expected profit is $10,600.
Step-by-step explanation:
The expected profit can be calculated as the sum of the possible outcomes weighted by their probability of occurrence.
In this case, there are four possible outcomes:
1) The horse win both races. The value of the horse will be $100k-$20k=$80k.
The probability of this outcome is:
2) The horse win the first race, but lose the second one. The value will be $50k-$20k=$30k.
The probability is:
3) The horse lose the first race, but win the second one. The value will be $50k-$20k=$30k.
The probability is:
4) The horse lose both races. The value will be $10k-$20k=-$10k.
The probability is:
Then, the expected profit can be calculated as:
The equation of <em>line m</em>, in point-slope form is: y + 3 = 4(x - 1)
<em><u>Recall:</u></em>
- The slopes of parallel lines are equal to each other.
- Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.
- Point-slope form equation is:
where,
is a point and m is the slope.
Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute = (1, -3) and m = 4 into
:
Therefore, the equation of <em>line n</em>, in point-slope form is: y + 3 = 4(x - 1)
Learn more about point-slope equation on:
Answer:
x = 13
Step-by-step explanation:
Corresponding angles equal one another.