Answer:
Discriminant = 93, two real roots/solutions
Step-by-step explanation:
Discriminant = b² - 4ac = (9)² - 4(3)(-1) = 81 + 12 = 93
Since 93>0, the quadratic equation has two real roots/solutions.
The sample space would be the number of students, so 1200.
The outcome the compose the event would be drawing one name at random.
The probability of Sophia winning would be 1 out of 1200, as a fraction: 1/1200, as a decimal: 0.00083
Because there is 1200 students, the probablity would be unlikely, since the sample is a large number.
So for this all you have to do is put 500 over 1200 like this: 500/1200 and then divide 500 by 1200 to get a decimal which would be .416 .To get the percentage you have to multiply by 100 and get 41.6%. They want the nearest integer so the answer would be about 42% :)
If a coat is regularly $125, and they mark it down to $75, we could figure out how much money was taken off by subtracting $75, from $125
$125 - $75 = $50
So the coats price was cut by $50.
Hope it helps
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