Answer:
0
Step-by-step explanation:
7x + -2z = 4 + -1xy
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'xy' to each side of the equation.
7x + xy + -2z = 4 + -1xy + xy
Combine like terms: -1xy + xy = 0
7x + xy + -2z = 4 + 0
7x + xy + -2z = 4
Add '2z' to each side of the equation.
7x + xy + -2z + 2z = 4 + 2z
Combine like terms: -2z + 2z = 0
7x + xy + 0 = 4 + 2z
7x + xy = 4 + 2z
Reorder the terms:
-4 + 7x + xy + -2z = 4 + 2z + -4 + -2z
Reorder the terms:
-4 + 7x + xy + -2z = 4 + -4 + 2z + -2z
Combine like terms: 4 + -4 = 0
-4 + 7x + xy + -2z = 0 + 2z + -2z
-4 + 7x + xy + -2z = 2z + -2z
Combine like terms: 2z + -2z = 0
-4 + 7x + xy + -2z = 0
Answer:
840
Step-by-step explanation:
Given
Required
Determine the number of rankings
The term "ranking" as used in this question implies permutation and the required is calculated using:
Where
So:
<em>Hence, number of ranking is 840</em>
Answer: 1/24
---------------------------------------------------------------------
---------------------------------------------------------------------
Work Shown:
A = selects green pair of shorts
B = selects gray t-shirt
P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4
P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24
Note: The fraction 1/24 is approximately equal to 0.041667
Step-by-step explanation:
