We first of all calculate our sample size. The number of ways of generating two letter and four digits in a way that repeatition is allowed is: 26^2 x 10^4 = 676 x 10000 = 6,760,000. Therefore, there are 6,760,000 possible number combinations for the lottery.
Probability of winning the first prize = 1/6,760,000 Probability of winning the second prize is 2/6,760,000 = 1/3,380,000 Probability of winning the third prize is 10/6,760,000 = 1/676,000 Probability of winning nothing is (6,760,000 - 13)/6,760,000 = 6,759,987/6,760,000 *[there are 13 winnings in all]
Expected winning from the lottery = (1/6,760,000) x (100,000 - 0.33) + (1/3,380,000) x (50,000 - 0.33) + (1/676,000) x (1,000 - 0.33) + (6,759,987/6,760,000) x (-0.33) = 0.0148 + 0.0148 + 0.0015 - 0.3300 = -0.30
Therefore, the expected winning is a loss of 30 cents. This means that it is not worth 33 cents to enter this lottery.
In order to Sherman a line that is either parallel or perpendicular to another line, you first have to put the equation into slope intercept form. This means you have to solve for y.
3x+4y = 7 4y = -3x + 7 y = (-3/4)x + (7/4) The slope of the line is -3/4. Online which is perpendicular would have a slope of 4/3, The negative reciprocal.
Now that you know the slope, you can write many different equations that would be perpendicular to the original.
y = (3/4)x + any y-intercept....Pick a number, any number... 7. ... y=(3/4)x+7 ... -2 ...y = (3/4)x - 2. Literally you can pick any number.
