Step-by-step explanation:
- 3x+5y=7b equation 1
- 2x+4y=1
2x=-4y+1
- x=(-4y+1)/2
- x=(-4y+1)/2 in equation 1
3×(-4y+1)/2+5y=7b
(-12y+3)/2+5y=7b
(-12y+3+10y)/2=7b
(-12y+3)/2=7b
-12y+3=14b
-12y=14b-3
- y=3-14b/12
- y=3-14b/12 in x=(-4y+1)/2
x=(-4×{3-14b/12}+1)/2
x=(-3+14b)/3+1/2
x=14b/3×1/2
The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .
We start with the relation between ratio of surface area and ratio of corresponding sides. That is
Here x and y are the corresponding sides .
Let the volume of the smaller one be v
So for the smaller solid, volume is 272 . And the correct option is the first option .
Answer:
y=-4x-2
Step-by-step explanation:
linear function, y = mx+c
the y intercept of the graph,c, is -2
thus y = mx - 2
substitute a point on the graph into the equation, (2,-1)
2 = m(-1) -2
m = - 4
thus equation of graph is y = -4x-2
Answer:
$4895
Step-by-step explanation:
P(winning) = 1 / 1000000 = 0.000001
P(not winning) = 1 - 1/1000000 = 0.999999
Winning amount = 4,900,000,000 - 5 = 4899999995
Amount lost = - 5
__ X: - 5 _________ 4899999995
P(X) : 0.999999 ___ 0.000001
Expected value E(x) = Σx * p(x)
E(x) = - 5(0.999999) + 4899999995(0.000001)
E(x) = - 4.999995 + 4899.999995
E(x) = 4895
Hence, expected value is 4895
