Answer:
the probability that at least one envelope is a yellow envelope is 16/21
Step-by-step explanation:
The probability that at least one envelope is a yellow envelope is P(Y);
P(Y) = 1 - P(Y)'
P(Y)' is the probability that no envelope is a yellow envelope.
Given;
red envelope = 1
blue envelopes = 3
green envelopes = 2
yellow envelopes = 3
Total = 9
Number of non-yellow envelope = 9 -3 = 6
(6 envelope are not yellow)
P(Y)' = P1 × P2 × P3
Since there is no replacement;
P(Y)' = 6/9 × 5/8 × 4/7
P(Y)' = 5/21
From equation 1;
P(Y) = 1 - 5/21
P(Y) = 16/21
the probability that at least one envelope is a yellow envelope is 16/21.
I believe that this would be representative.
Answer:
The 40-ounce jar of peanut butter is cheaper per ounce.
Step-by-step explanation:
30-ounce jar:
6÷30=0.2
40-ounce jar:
7.2÷40=0.18
Answer:
Step-by-step explanation:
The system of equations is expressed as
y=-2x+7 - - - - - - - - 1
y=5x-7 - - - - - - - - -2
We would equate equation 1 and equation 2. It becomes
- 2x + 7 = 5x - 7
We would add 2x to the left hand side and the right hand side of the equation. Also add 7 to the left hand side and the right hand side of the equation. It becomes
- 2x + 2x + 7 + 7 = 5x + 2x - 7 + 7
14 = 7x
Dividing the left hand side and the right hand side of the equation by 7, it becomes
7x/7 = 14/2
x = 2
y= -2 × 2 + 7
y = - 4 + 7
y = 3
Attached is how to do it.
The main idea of these is to figure out what “shapes” that you are either adding or subtracting.
