Answer:
1/72
Step-by-step explanation:
Probability of getting a 4 on white cube is:
P(W) · P(4) = 1/2 × 1/6 = 1/12
P(R) · P(>4) = 1/2 × 2/6 = 1/6
multiply both probabilities: 1/12 × 1/6 = 1/72
y=5/3x
this is because f(x)=x is one of (identity function) the 12 basic functions and when you multiply it it will shift it on the y axis
If you were to do y=x+5/3 it would make a horizontal shift to the left 5/3
So the unit your on is mostly about knowing the number located in the function that will make the graph shift different ways
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
Answer:
312km
Step-by-step explanation:
1. Multiply. 4800 x 7% = 3744
2. Divide. 3744 / 12 = 312km sq.
So the area after 12 years is 312 km sq.
