Answer:
Probability of finishing within 26 weeks of start and earning $ 1000 bonus = 46%
Probability of finishing within 27 weeks of start and earning $ 500 bonus = 69.23%
Step-by-step explanation:
1) Dimensiones of the cardboard:
length: 10 inches
width: 8 inches
2) dimensions of the squares cut
length: x
width: x
3) dimensions of the box:
length of the base = 10 - 2x
width of the base = 8 - 2x
height = x
4) Volume of the box
V = (10 - 2x) (8 - 2x) x = x [80 - 20x - 16x + 4x^2] = x [ 80 - 36x + 4x^2 ] =
V = 80x - 36x^2 + 4x^3
5) Maximum volume => derivative of V, V' = 0
V' = 80 - 72x + 12x^2 = 0
6) Solve the equation
Divide by 4 => 3x^2 - 18x + 20 = 0
Use the quadratic formula: x = 1.47 and x = 4.53 (this is not valid)
So, the answer is the option C. 1.5 inches.
Answer:
4.99873244
Step-by-step explanation:
157/2=78.5
78.5/pi=24.98732607
square root the answer above and you get the radius which is 4.99873244
