Step-by-step explanation:
15=2c+7
15-7=2c
8=2c
8/2=c
4=c
c=4
If we write a line in the form
Then the coefficient m is the slope of the line.
Two lines and are:
- Parallel if
- Perpendicular if
The first line is already in the required form: . We deduce that its slope is 9.
Let's rewrite the second line in the required form:
So, its slope is -1/9.
9 and -1/9 are obviously not equal, so the lines are not parallel.
But their product is -1, which means that the lines are perpendicular.
Answer:
Each box of cereal costs $1.56.
Explanation:
Since the total spent for 4 boxes is $6.24, just divide $6.24 by 4 to get the cost of one box.
Answer:
A) 0.28
B) 0.615
C) 0.26
Step-by-step explanation:
We are given;
Probabilities of customers using regular gas:P(A1) = 40% = 0.4
Probabilities of customers using plus gas: P(A2) = 35% = 0.35
Probabilities of customers using premium gas: P(A3) = 25% = 0.25
We are also given with conditional probabilities of full gas tank:
P(B|A1) = 40% = 0.4
P(B|A2) = 80% = 0.8
P(B|A3) = 70% = 0.7
A) The probability that next customer will requires extra unlead gas(plus gas) and fill the tank is:
P(A2 ∩ B) = P(A2) × P(B|A2)
P(A2 ∩ B) = 0.35 × 0.8
P(A2 ∩ B) = 0.28
B)The probability of next customer filling the tank is:
P(B) = [P(A1) • P(B|A1)] + [P(A2) • P(B|A2)] + [P(A3) • P(B|A3)]
P(B) = (0.4 × 0.4) + (0.35 × 0.8) + (0.25 × 0.7)
P(B) = 0.615
C)If the next customer fills the tank, probability of requesting regular gas is;
P(A1|B) = [P(A1) • P(B|A1)]/P(B)
P(A1|B) = (0.4 × 0.4)/0.615
P(A1|B) = 0.26