Answer:
7/66
Step-by-step explanation:
The probability of picking one girl would be 5/12 That is because there are 5 girls out of the 12 students, and the probability of an event occuring is:
of things you want/of things are possible
Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us 7/11 for the probability of picking a boy as the second pick.
And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be: 4/10
We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:
5/12 * 7/11 * 4/10 = 140/1320
Which when reduced is: 7/66
Answer:
D. 
Step-by-step explanation:
Any parabola is modelled by a second-order polynomial, whose standard form is:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
, 
, 
- Coefficients, dimensionless.
In addition, a system of three linear equations is constructed by using all known inputs:
(-2, 0)
(Eq. 1)
(4, 0)
(Eq. 2)
(0,-16)
(Eq. 3)
Then,
(Eq. 4)
(Eq. 5)
(Eq. 3 in Eqs. 1 - 2)
By Eq. 4 (Eq. 4b)
Then,
(Eq. 4b in Eq. 5)
The remaining coeffcient is:
The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is . Thus, the right answer is D.
Multiply 1/5 and 26/1 across the top and bottom, and you get 26/5
From there, you can estimate that its a little more than 5 because you know that 25/5 is 5 and 26/5 should be a tiny bit greater.
Hope this helped!
