Answer:
Ans: 1/12
Step-by-step explanation:
No. of events:4+4+1+3=12
Let the no. of events be E
Let the no. of packs of gum be P1
Prob. of choosing a pack of gum=P1/E
Probability=1/12
Answer:
(x²-10x+33)/(-8) = y
Step-by-step explanation:
The distance between any point on a parabola from both its focus and directrix are the same.
Let's say we have a point (x,y) on the parabola. We can then say that using the distance formula,
is the distance between (x,y) and the focus. Similarly, the distance between (x,y) and the directrix is |y-1| (I use absolute value here because distance is always positive). We can find this equation by taking the shortest distance from the point to the line. Because the closest point to the line will be the same x value as the point itself, the distance is simply the distance between the y value of the point and the y value of the directrix.
Equating the two equations given, we have

square both sides to get
(x-5)²+(y+3)²=(y-1)²
expand the y components
(x-5)² + y²+6y+9 = y²-2y+1
subtract y²+6y+9 from both sides
(x-5)² = -8y - 8
expand the x components
x²-10x+25 = -8y - 8
add 8 to both sides to isolate the -8y
x²-10x+33 = -8y
divide both sides by -8 to isolate y
(x²-10x+33)/(-8) = y
Last on - I think
{0,-9), (-9,0), (-3,-3)}
Answer with explanation:
Time taken by Molly to prepare the Report = 6 hours
Work done in 1 hour 
Time taken by Jere to prepare the Report = 4 hours
Work done in 1 hour 
Their Combined Work , is given by the equation

Time it would take for Molly and Jere to prepare a report together is equal to

= 2.4 hours