Answer:
i did.
Step-by-step explanation:
Answer:
1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18
Step-by-step explanation:
Given the following :
Two fair dice : 1 green ; 1 red
A) Are the outcomes on the dice independent:
Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.
B) Find P(1 on green die and 5 on red die).
Probability = (number of required outcome) / (total possible outcomes)
Total outcomes of a dice = 6
P(1 on green) = 1 / 6
P(5 on red) = 1/6
P(1 on green die and 5 on red die) :
(1/ 6) × (1/6) = 1/36
C) Find P(5 on green die and 1 on red die)
P(5 on green) = 1/6
P(1 on red) = 1/6
Find P(5 on green die and 1 on red die):
1/6 × 1/6 = 1/36
D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))
P(5 on green die and 1 on red die) = 1/36
P(1 on green die and 5 on red die) = 1/36
P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =
P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)
= (1/36 + 1/36) = 2 /36 = 1/18
1560 cm^2 as you subtract the small prism from the large
Answer:
The solution to the system of equations is:
x = 2, and y = -1
Explanation:
Given the pair of equations:
4x + 5y = 3 ..........................................................................(1)
2x + 3y = 1............................................................................(2)
To solve this by elimination:
Multiply equation (2) by 2, to eliminate x
Equation (2) becomes
4x + 6y = 2 .........................................................................(3)
Subtract equation (1) from (3)
4x - 4x + 6y - 5y = 2 - 3
y = -1 ....................................................................................(4)
Multiply equation (1) by 3 and equation (2) by 5 to eliminate y
Equation (1) becomes
12x + 15y = 9 .......................................................................(5)
Equation (2) becomes
10x + 15y = 5 ........................................................................(6)
Subtract equation (6) from (5)
12x - 10x + 15y - 15y = 9 - 5
2x = 4
Divide both sides by 2
x = 4/2 = 2 ............................................................................(7)
From equations (7) and (4)
x = 2, and y = -1
