Answer:
Line A equation = y=-9/8x+69/4
Line B equation = y=-10/9x+131/9
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Answer:
a) 30 inches × 30 inches × 30 inches
b) 27,000 inches³
c) 14,130 inches³
d) 12,870 inches³
Step-by-step explanation:
Edge of the cube = diameter = 30 inches
Volume of cube = s³
30³ = 27000 inches³
Radius = 30/2 = 15
Volume of sphere:
(4/3) × 3.15 × 15³
14130 inches³
Difference:
27000 - 14130
12870 inches³
Answer:
The probability of NOT hitting a boundary is (4/5).
Step-by-step explanation:
Let E: Be the event of hitting a boundary
now, Probability of any event E = 
Here, number of favorable outcomes = 6
So, P(E) = 
⇒Probability of hitting a six is 1/5
Now, P(E) + P(not E) = 1
So, P(not hitting a boundary ) = 1 - P(hitting a boundary)
= 1 - (1/5) = 4/5
Hence, the probability of NOT hitting a boundary is (4/5).
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions
and
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction
shown in purple, then we can plot the second one
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.