Answer:
3/50
Step-by-step explanation:
There are 5 + 4 + 2 + 6 + 3 = 20 marbles in the bag
P(draw a black) = 6/20 = 3/10
If the black marble is replaced, then there are 20 marbles in the bag again.
P(draw a blue) = 4/20 = 1/5
P(draw a black and blue with replacement) = (3/10)(1/5) = 3/50
Change in level is given by :
C = increase in level - decrease in level.
Now,
Decrease in level in March is 2 1/4 = 9/4 inches.
Increase in level in April is 1 5/8 = 13/8 inches.
Putting value of these in above equation, we get :
C = 13/8 - 9/4
C = 13/8 - 18/8
C = -5/8 inches
Therefore, the overall level after April will decrease by 5/8 inches.
Hence, option 4. is correct.
V=x³-7x+6, V=(x-2)(x+3)*h
(x-2)(x+3)*h=x³-7x+6
h{x²+x-6}=x³-7x+6
h=(x³-7x+6)/(x²+x-6)
Therefore h=x-1
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Check answer:
V=(x-2)(x+3)(x-1)
=(x-1)(x²+x-6)
=x(x²+x-6)-1(x²+x-6)
=x³+x²-6x-x²-x+6
=x³-6x-x+6
=x³-7x+6
Answer: See attached graph
