Answer:
The probability of the guess being correct is 1/150.
Step-by-step explanation:
The information provided for the game Clue is:
- Clue is a board game in which you must deduce three details surrounding a murder.
- The guilty person can be chosen from 6 people.
- There are 6 different possible weapons.
- There are 9 possible rooms.
Now it is provided that at some point the possibilities have been narrowed down to 5 people, 5 weapons, and 6 rooms.
The number of ways to select a guilty person from the 5 selected people is,
n (P) = 5
The number of ways to select a weapon from the 5 selected weapon is,
n (W) = 5
The number of ways to select a room from the 6 selected rooms is,
n (R) = 6
Then the total number of random guesses is,
N = n (P) × n (W) × n (R)
= 5 × 5 × 6
= 150
And only one of these 150 guesses is correct.
So, the probability of the guess being correct is 1/150.
The Answer IS C 1/5 Thank Me Later !
The formula is 1/2 x ( a + b ) x h
A and b are the top and bottom sides and h is always the perpendicular height.
Now replace the variables...
1/2 x (6 + 14 ) x 8.4
And then...
1/2 x 20 x 8.4 which will give you 84cm^2
Hope this helps! Anymore questions let me know :)
Answer:
the dimensions of the box that minimizes the cost are 5 in x 40 in x 40 in
Step-by-step explanation:
since the box has a volume V
V= x*y*z = b=8000 in³
since y=z (square face)
V= x*y² = b=8000 in³
and the cost function is
cost = cost of the square faces * area of square faces + cost of top and bottom * top and bottom areas + cost of the rectangular sides * area of the rectangular sides
C = a* 2*y² + a* 2*x*y + 15*a* 2*x*y = 2*a* y² + 32*a*x*y
to find the optimum we can use Lagrange multipliers , then we have 3 simultaneous equations:
x*y*z = b
Cx - λ*Vx = 0 → 32*a*y - λ*y² = 0 → y*( 32*a-λ*y) = 0 → y=32*a/λ
Cy - λ*Vy = 0 → (4*a*y + 32*a*x) - λ*2*x*y = 0
4*a*32/λ + 32*a*x - λ*2*x*32*a/λ = 0
128*a² /λ + 32*a*x - 64*a*x = 0
32*a*x = 128*a² /λ
x = 4*a/λ
x*y² = b
4*a/λ * (32*a/λ)² = b
(a/λ)³ *4096 = 8000 m³
(a/λ) = ∛ ( 8000 m³/4096 ) = 5/4 in
then
x = 4*a/λ = 4*5/4 in = 5 in
y=32*a/λ = 32*5/4 in = 40 in
then the box has dimensions 5 in x 40 in x 40 in
Answer:
x= 2/3 -1/3y or x= -1/3y + 2/3
Step-by-step explanation:
3x + y= 2 (subtract the y to get 3x by itself)
3x= 2-y (divide both sides by 3 to get x by itself)
x= 2/3 - 1/3y
