Slope = 2/1
Work is attached in the image provided.
Answer:
$972
Step-by-step explanation:
900 * 0.08 = 72
900 + 72 = 972
Hope this helped, let me know if you need a better explanation!
Answer:
The answers to the questions are well numbered below.
Step-by-step explanation:
We have arrival rate
λ = 7 in every 10 minutes = 0.7
Service time u = 7 minutes
1. Average time a car is in system
W = 1/u - λ
= 1/7-0.7
= 0.1587
= 0.16 to 2 decimal places
2. Average number of cars in system
= λ/u-λ
= 0.7/7-0.7
= 0.1111
= 0.11 to 2 decimal places
3. Average time that cars spend to receive service
= λ/u(u-λ)
= 0.7/7(7-0.7)
= 0.01587
= 0.016 to 2 decimal places
4. Average number of cars in line behind customer receiving service
= λ²/u(u-λ)
= 0.7²/7(7-0.7)
= 0.49/44.1
= 0.011 to 2 decimal places
5. Probability no cats at window
1-λ/u
= 1-0.7/7
= 0.9 = 9%
6. Percentage of time postal clerk is busy
= λ/u = 0.7/7 = 0.1 = 10%
7. Probability of exactly 2 cars
= λ²e^-λ/2!
= 0.7²e^-0.7/2!
= 0.1217
= 12.17%
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Hello!

Begin by finding the slope that would be perpendicular to the given equation.
A perpendicular line has a slope that is the opposite reciprocal of the original. Therefore:
1/2 --> -2
Find the answer choice that contains a slope of -2 when rewritten in the form y = mx + b:
Choice 1:
x + 2y = 2
Move x to the other side:
2y = -x + 2
Divide both sides by 2:
y = -1/2x + 1. This choice is incorrect.
Choice 2:
x - 2y = -12
Move x to the other side:
-2y = -x - 12
Divide both sides by -2:
y = 1/2x + 6. This choice is incorrect.
Choice 3:
2x + y = 3
Move 2x to the other side:
y = -2x + 3. This contains a slope of -2, which is correct.
Choice 4:
y - 2x = -5
Move -2x to the opposite side:
y = 2x - 5. This contains a slope of positive 2, so it is incorrect.
The correct answer is 2x + y = 3.