Answer:
The positive difference between the a values is 0.5
Step-by-step explanation:
we know that
Both parabolas cross the x axis at (-4,0) and (6,0)
so
The general equation is
<em>Find the value of a in the first parabola</em>
The y-intercept is (0,-12)
so
For
substitute
<em>Find the value of a in the second parabola</em>
The y-intercept is (0,-24)
so
For
substitute
<em>Find the positive difference between the a values for the two functions</em>
so
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
